請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66108
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 賀培銘(Pei-Ming Ho) | |
dc.contributor.author | Kuo-Wei Huang | en |
dc.contributor.author | 黃國瑋 | zh_TW |
dc.date.accessioned | 2021-06-17T00:22:04Z | - |
dc.date.available | 2012-06-27 | |
dc.date.copyright | 2012-06-27 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-06-14 | |
dc.identifier.citation | References
[1] P.M.Ho, K.W. Huang and Y. Matsuo, ”A non-abelian self-dual gauge theory in 5+1 dimensions”, JHEP 1107 (2011) 021 [1104.4040 [hep-th]]. [2] J. Bagger, N. Lambert, S. Mukhi, C. Papageorgakis, ”Membranes in M- theory,” Physics Reports (2012) [arXiv:1203.3546 [hep-th]]. N. Lambert, ”M-Theory and Maximally Supersymmetric Gauge Theories” (2012) [arXiv:1203.4244[hep-th]] D. S. Berman, “M-theory branes and their interactions,” Phys. Rept. 456, 89 (2008) [arXiv:0710.1707 [hep-th]]. [3] J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75, 045020 (2007) [arXiv:hep-th/0611108]. J. Bagger and N. Lambert, “Gauge Symmetry and Super- symmetry of Multiple M2-Branes,” Phys. Rev. D 77, 065008 (2008) [arXiv:0711.0955 [hep-th]]. J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802, 105 (2008) [arXiv:0712.3738 [hep-th]]. A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]. [4] Ofer Aharony, Oren Bergman, Daniel Louis Jafferis, Juan Maldacena, ”N=6 super- conformal Chern-Simons-matter theories, M2-branes and their gravity duals” JHEP 0810:091,2008 [arXiv:0806.1218[hep-th]] [5] A. Strominger, “Open p-branes,” Phys. Lett. B 383 (1996) 44 [arXiv:hep-th/9512059]. N. Seiberg, “Nontrivial fixed points of the renormalization group in six-dimensions,” Phys. Lett. B 390, 169 (1997) [arXiv:hep-th/9609161]. E. Witten, “Five-brane ef- fective action in M theory,” J. Geom. Phys. 22, 103 (1997) [arXiv:hep-th/9610234]. N. Seiberg, “Notes on theories with 16 supercharges,” Nucl. Phys. Proc. Suppl. 67, 158 (1998) [arXiv:hep-th/9705117]. [6] I. R. Klebanov and A. A. Tseytlin, “Entropy of Near-Extremal Black p-branes,” Nucl. Phys. B 475, 164 (1996) [arXiv:hep-th/9604089]. S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, “String theory and classical absorption by three-branes,” Nucl. Phys. B 499, 217 (1997) [arXiv:hep-th/9703040]. S. S. Gubser and I. R. Klebanov, “Absorption by branes and Schwinger terms in the world volume theory,” Phys. Lett. B 413, 41 (1997) [arXiv:hep-th/9708005]. M. Henningson and K. Skenderis, “The holographic Weyl anomaly,” JHEP 9807, 023 (1998) [arXiv:hep-th/9806087]. F. Bastianelli, S. Frolov and A. A. Tseytlin, “Conformal anomaly of (2,0) tensor multiplet in six dimen- sions and AdS/CFT correspondence,” JHEP 0002, 013 (2000) [arXiv:hep-th/0001041]. [7] N. Lambert and C. Papageorgakis, “Nonabelian (2,0) Tensor Multiplets and 3- algebras,” JHEP 1008 (2010) 083 [arXiv:hep-th1007.2982]. [8] W. M. Chen and P. M. Ho, “Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions,” Nucl. Phys. B 837, 1 (2010) [arXiv:1001.3608 [hep-th]]. [9] Wung-Hong Huang, ”Lagrangian of Self-dual Gauge Fields in Various Formulations”, Nucl. Phys. B861, pp. 403-423 (2012) [arXiv:1111.5118 [hep-th]] [10] P. Pasti, D. P. Sorokin and M. Tonin, “Note on manifest Lorentz and general co- ordinate invariance in duality symmetric models,” Phys. Lett. B 352, 59 (1995) [arXiv:hep-th/9503182]. P. Pasti, D. P. Sorokin and M. Tonin, “Duality symmetric ac- tions with manifest space-time symmetries,” Phys. Rev. D 52, 4277 (1995) [arXiv:hep- th/9506109]. P. Pasti, D. P. Sorokin and M. Tonin, “Space-time symmetries in duality symmetric models,” arXiv:hep-th/9509052. P. Pasti, D. P. Sorokin and M. Tonin, “On Lorentz invariant actions for chiral p forms,” Phys. Rev. D 55, 6292 (1997) [arXiv:hep- th/9611100]. P. Pasti, D. P. Sorokin and M. Tonin, “Covariant action for a D = 11 five-brane with the chiral field,” Phys. Lett. B 398, 41 (1997) [arXiv:hep-th/9701037]. [11] P. S. Howe and E. Sezgin, “D = 11, p = 5,” Phys. Lett. B 394, 62 (1997) [arXiv:hep- th/9611008]. I. A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. P. Sorokin and M. Tonin, “Covariant action for the super-five-brane of M-theory,” Phys. Rev. Lett. 78, 4332 (1997) [arXiv:hep-th/9701149]. M. Aganagic, J. Park, C. Popescu andJ. H. Schwarz, “World-volume action of the M-theory five-brane,” Nucl. Phys. B 496, 191 (1997) [arXiv:hep-th/9701166]. P. S. Howe, E. Sezgin and P. C. West, “Covariant field equations of the M-theory five-brane,” Phys. Lett. B 399, 49 (1997) [arXiv:hep- th/9702008]. I. A. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. P. Sorokin and M. Tonin, “On the equivalence of different formulations of the M theory five- brane,” Phys. Lett. B 408, 135 (1997) [arXiv:hep-th/9703127]. [12] P. M. Ho and Y. Matsuo, “M5 from M2,” arXiv:0804.3629 [hep-th]. P. M. Ho, Y. Ima- mura, Y. Matsuo and S. Shiba, “M5-brane in three-form flux and multiple M2-branes,” JHEP 0808, 014 (2008) [arXiv:0805.2898 [hep-th]]. [13] P. M. Ho and Y. Matsuo, “A Toy model of open membrane field theory in constant 3-form flux,” Gen. Rel. Grav. 39, 913 (2007) [arXiv:hep-th/0701130]. [14] P. Pasti, I. Samsonov, D. Sorokin and M. Tonin, “BLG-motivated Lagrangian formu- lation for the chiral two-form gauge field in D=6 and M5-branes,” Phys. Rev. D 80, 086008 (2009) [arXiv:0907.4596 [hep-th]]. [15] K. Furuuchi, “Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background,” JHEP 1003, 127 (2010) [arXiv:1001.2300 [hep-th]]. [16] P. M. Ho, “A Concise Review on M5-brane in Large C-Field Background,” Chin. J. Phys. 48, 1 (2010) [arXiv:0912.0445 [hep-th]]. [17] C. H. Chen, P. M. Ho and T. Takimi, “A No-Go Theorem for M5-brane Theory,” JHEP 1003, 104 (2010) [arXiv:1001.3244 [hep-th]]. [18] L. Breen and W. Messing, “Differential Geometry of Gerbes,” arXiv:math/0106083. J. C. Baez, “Higher Yang-Mills theory,” arXiv:hep-th/0206130. P. Aschieri and B. Ju- rco, “Gerbes, M5-brane anomalies and E(8) gauge theory,” JHEP 0410, 068 (2004) [arXiv:hep-th/0409200]. J. C. Baez and J. Huerta, “An Invitation to Higher Gauge Theory,” arXiv:1003.4485 [hep-th]. [19] A. Lahiri, “The dynamical nonabelian two form: BRST quantization,” Phys. Rev. D 55, 5045 (1997) [arXiv:hep-ph/9609510]. R. R. Landim and C. A. S. Almeida, “Topologically massive nonabelian BF models in arbitrary space-time dimensions,” Phys. Lett. B 504, 147 (2001) [arXiv:hep-th/0010050]. A. Lahiri, “Local symmetries of the non-Abelian two-form,” J. Phys. A 35, 8779 (2002) [arXiv:hep-th/0109220]. R. P. Malik, “Nilpotent (anti-)BRST symmetry transformations for dynamical non- Abelian 2-form gauge theory: superfield formalism,” Europhys. Lett. 91, 51003 (2010) [arXiv:1005.5067 [hep-th]]. S. Krishna, A. Shukla and R. P. Malik, “Geometrical Super- field Approach to Dynamical Non-Abelian 2-Form Gauge Theory,” arXiv:1008.2649 [hep-th]. [20] C. Hofman, “Nonabelian 2-forms,” arXiv:hep-th/0207017. U. Schreiber, “Nonabelian 2-forms and loop space connections from SCFT deformations,” arXiv:hep-th/0407122. A. Gustavsson, “Selfdual strings and loop space Nahm equations,” arXiv:0802.3456 [hep-th]. C. Saemann, “Constructing Self-Dual Strings,” arXiv:1007.3301 [hep-th]. E. Bergshoeff, D. S. Berman, J. P. van der Schaar, and P. Sundell, ”A noncommuta- tive M-theory five-brane”, Nucl. Phys. B 590 (2000) 173 [arXiv:hep-th/0005026]. A. Gustavsson, ”Loop space, (2,0) theory, and solitonic strings”, JHEP 12 (2006) 066 [hep-th/0608141]. K.-W. Huang and W.-H. Huang, ”Lie 3-algebra non-abelian (2,0) theory in loop space”, [arXiv:1008.3834 [hep-th]]. C. Papageorgakis and C. Samann, “The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space,” arXiv:1103.6192 [hep-th]. S. Palmer and C. Saemann, ”Constructing generalized self- dual strings”, [arXiv:1105.3904 [hep-th]]. J.-L. Brylinski,” Loop spaces, characteristic classes and geometric quantization”, Birkha user Boston (2007). Sam Palmer, Chris- tian Saemann, ”M-brane Models from Non-Abelian Gerbes” (2012) [arXiv:1203.5757 [hep-th]]. A. Gustavsson, ”A reparametrization invariant surface ordering”, JHEP 11 (2005) 035 [hep-th/0508243[hep-th]]. A. Gustavsson, ”The non-abelian tensor multiplet in loop space”, JHEP 01 (2006) 165 [hep-th/0512341[hep-th]]. A. Gustavsson, ”Selfdual strings and loop space Nahm equations”, JHEP 04 (2008) 083 [arXiv:0802.3456 [hep-th]]. [21] M. Henneaux and B. Knaepen, “All consistent interactions for exterior form gauge fields,” Phys. Rev. D 56, 6076 (1997) [arXiv:hep-th/9706119]. M. Henneaux, “Unique- ness of the Freedman-Townsend Interaction Vertex For Two-Form Gauge Fields,” Phys. Lett. B 368, 83 (1996) [arXiv:hep-th/9511145]. M. Henneaux and B. Knaepen, “The Wess-Zumino consistency condition for p-form gauge theories,” Nucl. Phys. B 548, 491 (1999) [arXiv:hep-th/9812140]. X. Bekaert, M. Henneaux and A. Sevrin, “Deformations of chiral two-forms in six dimensions,” Phys. Lett. B 468, 228 (1999) [arXiv:hep-th/9909094]. X. Bekaert, “Interactions of chiral two-forms,” arXiv:hep- th/9911109. M. Henneaux and B. Knaepen, “A theorem on first-order interaction vertices for free p-form gauge fields,” Int. J. Mod. Phys. A 15, 3535 (2000) [arXiv:hep- th/9912052]. X. Bekaert, M. Henneaux and A. Sevrin, “Chiral forms and their defor- mations,” Commun. Math. Phys. 224, 683 (2001) [arXiv:hep-th/0004049]. X. Bekaert and S. Cucu, “Deformations of duality symmetric theories,” Nucl. Phys. B 610, 433 (2001) [arXiv:hep-th/0104048]. [22] E. Witten, “Conformal Field Theory In Four And Six Dimensions,” arXiv:0712.0157 [math.RT]. E. Witten, “Geometric Langlands From Six Dimensions,” arXiv:0905.2720 [hep-th]. [23] M. R. Douglas, “On D=5 super Yang-Mills theory and (2,0) theory,” JHEP 1102, 011 (2011) [arXiv:1012.2880 [hep-th]]. [24] N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, “M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills,” JHEP 1101, 083 (2011) [arXiv:1012.2882 [hep- th]]. [25] Edward Witten, ”Duality Relations Among Topological Effects In String Theory”,JHEP 0005:031,2000 [arXiv:9912086[hep-th]] E. Witten, “Five-branes and M theory on an orbifold,” Nucl. Phys. B 463, 383 (1996) [arXiv:hep-th/9512219]. [26] H. Samtleben, E. Sezgin, and R. Wimmer, (1,0) superconformal models in six di- mensions, JHEP 1112 (2011) 062, [arXiv:1108.4060 [hep-th]]. C.S. Chu, A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x G,[ arXiv:1108.5131 [hep-th]]. H. Samtleben, E. Sezgin, R. Wimmer, and Linus Wulff, New superconformal models in six dimensions: Gauge group and representation structure, [arXiv:1204.0542 [hep-th]]. B. Czech, Yu-tin Huang, and Moshe Rozali, Amplitudes for Multiple M5 Branes, [arXiv:1110.2791 [hep-th]]. [27] Y.T. Huang, A. E. Lipstein, ”Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space” JHEP 1010:007,2010 [arXiv:1004.4735v3 [hep-th]] [28] D. Belov and G. W. Moore, “Holographic action for the self-dual field”, [arXiv:0605038[hep-th]] [29] M. Perry, J. H. Schwarz,”Interacting Chiral Gauge Fields in Six Dimensions and Born- Infeld Theory”, Nucl.Phys. B489 (1997) 47-64, [arXiv: 9611065v1 [hep-th]] [30] W. Siegel,“Manifest Lorentz invariance sometimes requires nonlinearity,” Nucl. Phys. B238 (1984) 307. [31] R. Floreanini and R. Jackiw, “Selfdual Fields As Charge Density Solitons,” Phys. Rev. Lett. 59, 1873 (1987). [32] B. McClain, F. Yu and Y. S. Wu, “Covariant quantization of chiral bosons and Osp(1,1|2) symmetry,” Nucl. Phys. B 343 (1990) 689. C. M. Hull, “Covariant quan- tization of chiral bosons and anomaly cancellation,” Phys. Lett. B 206 (1988) 234. J. M. Labastida and M. Pernici, “On the BRST quantization of chiral bosons, Nucl. Phys. B 297 (1988) 557. L. Mezincescu and R. I. Nepomechie, “Critical dimensions for chiral bosons”, Phys. Rev. D 37 (1988) 3067. [33] I. A. Batalin and G. A. Vilkovisky, Gauge Algebra and Quantization, Phys. Lett. 102B (1981) 27. I. A. Batalin and G. A. Vilkovisky, Quantization of Gauge Theories with Linearly Dependent Generators, Phys. Rev. D28 (1983) 2567; Errata: D30 (1984) 508. I.A.Batalin and I.V.Tyutin, On Possible Generalizations of Field-Antifield Formalism, Int. J. Mod. Phys. A8 (1993) 2333. J. Gomis, J. Par ıs and S. Samuel, Antibracket, an- tifields and gauge theory quantization, Phys. Rept. 259 (1995) 1–145, [arXiv 9412228 [hep-th]] M.Henneaux and C.Teitelboim, Quantization of Gauge Systems, (Princeton University Press, Princeton, 1992). | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66108 | - |
dc.description.abstract | 在學習自對偶場論的基本架構之後,我們建造一個在六維時空的非阿貝爾高階規範自對偶場論。此理論在緊緻化後可以變成一般的 Yang-Mills 規範場論並且在阿貝爾極限底下自洽地回到已知的羅倫茲對稱自對偶模型。此理論將預期可用來描述 M 理論中的多重五膜。 我們也討論此模型的一些推廣情形及其物理內涵。 | zh_TW |
dc.description.abstract | We first review self-dual (chiral) gauge field theories by studying their Lorentz non-covariant and Lorentz covariant formulations. Then we construct a non-Abelian gauge theory of self-dual two-form potentials in six dimensions with a spatial direction compactified on a circle. We will see that this model reduces to the Yang-Mills theory in five dimensions for a small compactified radius R. This model also reduces to the Lorentz-invariant theory of Abelian self-dual two-form potentials when the gauge group is Abelian. The model is expected to describe multiple 5-branes in M-theory. We will also discuss its decompactified limit and other generalizations. | en |
dc.description.provenance | Made available in DSpace on 2021-06-17T00:22:04Z (GMT). No. of bitstreams: 1 ntu-101-R99222075-1.pdf: 1048892 bytes, checksum: 605a1d670c2fc49e49847eb52d80b969 (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | Contents
1 Introduction ..............5 2 A Toy Model: 2D Chiral Boson .............12 3 Abelian Chiral 2-Form: Single M5-Brane ............15 3.1 Anti-Symmetry 2-rank Gauge Field and BF Model . . . . . . . . . . . . . 15 3.2 5+1 Splitting Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.3 3+3 Splitting Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.4 4+2 Splitting Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 24 4 Covariant Formulations: PST Model 27 4.1 Covariant action for Chiral Boson: D=2 . . . . . . . . . . . . . . . . . . . 27 4.2 Covariant action for Chiral 2-form: D=6 . . . . . . . . . . . . . . . . . . . 29 5 Non-Abelain Chiral 2-form: Multiple M5-Branes 33 5.1 Non-locality: The hint from No-Go theorems . . . . . . . . . . . . . . . . 33 5.2 The Main Ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 5.3 Non-Abelian Gauge Transformations for 2-form Potentials . . . . . . . . . 36 5.4 Non-Abelian 3-form Field strengths . . . . . . . . . . . . . . . . . . . . . 39 5.5 Coupling to Antisymmetry Tensors . . . . . . . . . . . . . . . . . . . . . . 40 5.6 Non-Abelianizing the Abelian Self-Dual Theory . . . . . . . . . . . . . . . 41 5.7 Action . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 5.8 Comments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 6 BRST-Antifields Quantization on Non-Abelian 2-Form 51 6.1 BRST Symmetry of Non-Abelian 2-form . . . . . . . . . . . . . . . . . . . 51 6.2 Field-Antifield Quantization on Non-Abelian 2-form . . . . . . . . . . . . 53 7 A Generalization: Non-Abelian 3-form 58 8 Toward non-Abelian PST and Conclusion 62 8.1 Toward non-Abelian PST . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 8.2 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 | |
dc.language.iso | en | |
dc.title | 多重 M5 膜: 高階規範場論與自對偶性 | zh_TW |
dc.title | Non-Abelian Chiral 2-Form and M5-Branes | en |
dc.type | Thesis | |
dc.date.schoolyear | 100-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 詹傳宗(Chuan-Tsung Chan),溫文鈺(Wen-Yu Wen) | |
dc.subject.keyword | M 理論,自對偶性,規範場論,M5 膜,非局域性, | zh_TW |
dc.subject.keyword | M-theory,Self-duality,Gauge Field Theory,M5-branes,Non-locality, | en |
dc.relation.page | 75 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2012-06-14 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-101-1.pdf 目前未授權公開取用 | 1.02 MB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。