AKSZ models of semistrict higher gauge theory
详细信息 查看全文
- 作者：Roberto Zucchini (1)
- 关键词：BRST Symmetry ; Differential and Algebraic Geometry ; BRST Quantization ; Topological Field Theories
- 刊名：Journal of High Energy Physics
- 出版年：2013
- 出版时间：March 2013
- 年：2013
- 卷：2013
- 期：3
- 全文大小：1371KB
- 参考文献：1. J. Polchinski, / String theory. Volume 2: superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998).
2. K. Becker, M. Becker and J.H. Schwarz, / String theory and M-theory: a modern introduction, Cambridge University Press, Cambridge U.K. (2007).
3. C.V. Johnson, / D-branes, Cambridge University Press, Cambridge U.K. (2003).
4. J.C. Baez, / An introduction to spin foam models of quantum gravity and BF theory, / Lect. Notes Phys. 543 (2000) 25 [gr-qc/9905087] [INSPIRE]. CrossRef
5. C. Rovelli, / Quantum gravity, Cambridge University Press, Cambridge U.K. (2004). CrossRef
6. R. Savit, / Topological excitations in U(1) / invariant theories, / Phys. Rev. Lett. 39 (1977) 55 [INSPIRE]. CrossRef
7. D.Z. Freedman and P. Townsend, / Antisymmetric tensor gauge theories and nonlinear 蟽-models, / Nucl. Phys. B 177 (1981) 282 [INSPIRE]. CrossRef
8. R.I. Nepomechie, / Approaches to a nonabelian antisymmetric tensor gauge field theory, / Nucl. Phys. B 212 (1983) 301 [INSPIRE]. CrossRef
9. C. Teitelboim, / Gauge invariance for extended objects, / Phys. Lett. B 167 (1986) 63 [INSPIRE].
10. M. Henneaux and C. Teitelboim, / p form electrodynamics, / Found. Phys. 16 (1986) 593 [INSPIRE]. CrossRef
11. M. Blau and G. Thompson, / Topological gauge theories of antisymmetric tensor fields, / Annals Phys. 205 (1991) 130 [INSPIRE]. CrossRef
12. S. Solodukhin, / Nonabelian gauge antisymmetric tensor fields, / Nuovo Cim. B 108 (1993) 1275 [hep-th/9211046] [INSPIRE]. CrossRef
13. A. Lahiri, / Gauge transformations of the nonAbelian two form, / Mod. Phys. Lett. A 17 (2002) 1643 [hep-th/0107104] [INSPIRE].
14. A. Lahiri, / Local symmetries of the nonAbelian two form, / J. Phys. A 35 (2002) 8779 [hep-th/0109220] [INSPIRE].
15. I. Chepelev, / Nonabelian Wilson surfaces, / JHEP 02 (2002) 013 [hep-th/0111018] [INSPIRE]. CrossRef
16. J.C. Baez, / Higher Yang-Mills theory, hep-th/0206130 [INSPIRE].
17. C. Hofman, / Nonabelian 2 forms, hep-th/0207017 [INSPIRE].
18. H. Pfeiffer, / Higher gauge theory and a nonabelian generalization of 2 / -form electrodynamics, / Annals Phys. 308 (2003) 447 [hep-th/0304074] [INSPIRE]. CrossRef
19. J.C. Baez and J. Huerta, / An invitation to higher gauge theory, arXiv:1003.4485 [INSPIRE].
20. J. Baez and A. Lauda, / Higher dimensional algebra V: 2-groups, / Theor. Appl. Categor. 12 (2004) 423 [math/0307200].
21. J.C. Baez and A.S. Crans, / Higher-dimensional algebra VI: Lie 2 / -algebras, / Theor. Appl. Categor. 12 (2004) 492 [math/0307263] [INSPIRE].
22. T. Lada and J. Stasheff, / Introduction to SH Lie algebras for physicists, / Int. J. Theor. Phys. 32 (1993) 1087 [hep-th/9209099] [INSPIRE]. CrossRef
23. T. Lada and M. Markl, / Strongly homotopy Lie algebras, / Comm. Algebra 23 (1995) 2147 [hep-th/9406095] [INSPIRE]. CrossRef
24. J.L. Brylinski, / Loop spaces, characteristic classes and geometric quantization, Progress in mathematics volume 107, Birkhaeuser, Boston U.S.A. (1993).
25. L. Breen and W. Messing, / Differential geometry of GERBES, / Adv. Math. 198 (2005) 732 [math/0106083] [INSPIRE]. CrossRef
26. A.S. Schwarz, / The partition function of degenerate quadratic functional and Ray-Singer invariants, / Lett. Math. Phys. 2 (1978) 247 [INSPIRE]. CrossRef
27. G.T. Horowitz, / Exactly soluble diffeomorphism invariant theories, / Commun. Math. Phys. 125 (1989) 417 [INSPIRE]. CrossRef
28. H.-Y. Guo, Y. Ling, R.-S. Tung and Y.-Z. Zhang, / Chern-Simons term for BF theory and gravity as a generalized topological field theory in four-dimensions, / Phys. Rev. D 66 (2002) 064017 [hep-th/0204059] [INSPIRE].
29. L. Freidel and A. Starodubtsev, / Quantum gravity in terms of topological observables, hep-th/0501191 [INSPIRE].
30. F. Girelli and H. Pfeiffer, / Higher gauge theory: differential versus integral formulation, / J. Math. Phys. 45 (2004) 3949 [hep-th/0309173] [INSPIRE]. CrossRef
31. F. Girelli, H. Pfeiffer and E. Popescu, / Topological higher gauge theory 鈥? / From BF to BFCG theory, / J. Math. Phys. 49 (2008) 032503 [arXiv:0708.3051] [INSPIRE]. CrossRef
32. J. Baez and U. Schreiber, / Higher gauge theory: 2-connections on 2-bundles, hep-th/0412325 [INSPIRE].
33. J.C. Baez and U. Schreiber, / Higher gauge theory, in / Categories in algebra, geometry and mathematical physics, A. Davydov et al. eds., Contemporary Mathematics volume 431, American Mathematical Society, Providence U.S.A. (2007), math/0511710 [INSPIRE].
34. P. Aschieri, L. Cantini and B. Jur膷o, / NonAbelian bundle gerbes, their differential geometry and gauge theory, / Commun. Math. Phys. 254 (2005) 367 [hep-th/0312154] [INSPIRE]. CrossRef
35. D. Fiorenza, U. Schreiber and J. Stasheff, / Cech cocycles for differential characteristic classes 鈥? / An infinity-Lie theoretic construction, / Adv. Theor. Math. Phys. 16 (2012) 149 [arXiv:1011.4735] [INSPIRE].
36. U. Schreiber, / Differential cohomology in a cohesive 鈭?em class="a-plus-plus">-topos, available at http://ncatlab.org/schreiber/files/cohesivedocumentv032.pdf.
37. I.A. Batalin and G.A. Vilkovisky, / Gauge algebra and quantization, / Phys. Lett. B 102 (1981) 27 [INSPIRE].
38. I.A. Batalin and G.A. Vilkovisky, / Quantization of gauge theories with linearly dependent generators, / Phys. Rev. D 28 (1983) 2567 [ / Erratum ibid. D 30 (1984) 508] [INSPIRE].
39. M. Alexandrov, M. Kontsevich, A. Schwartz and O. Zaboronsky, / The geometry of the master equation and topological quantum field theory, / Int. J. Mod. Phys. A 12 (1997) 1405 [hep-th/9502010] [INSPIRE].
40. N. Ikeda, / Lectures on AKSZ topological field theories for physicists, arXiv:1204.3714 [INSPIRE].
41. R. Zucchini, / The Hitchin model, Poisson-quasi-Nijenhuis geometry and symmetry reduction, / JHEP 10 (2007) 075 [arXiv:0706.1289] [INSPIRE]. CrossRef
42. R. Zucchini, / Gauging the Poisson 蟽-model, / JHEP 05 (2008) 018 [arXiv:0801.0655] [INSPIRE]. CrossRef
43. E. Witten, / Topological quantum field theory, / Commun. Math. Phys. 117 (1988) 353 [INSPIRE]. CrossRef
44. E. Witten, / Quantum field theory and the Jones polynomial, / Commun. Math. Phys. 121 (1989) 351 [INSPIRE]. CrossRef
45. D. Fiorenza, C.L. Rogers and U. Schreiber, / A higher Chern-Weil derivation of AKSZ 蟽-models, arXiv:1108.4378 [INSPIRE].
46. A. Kotov and T. Strobl, / Characteristic classes associated to Q-bundles, arXiv:0711.4106 [INSPIRE].
47. M. Schlessinger and J.D. Stasheff, / The Lie algebra structure of tangent cohomology and deformation theory, / J. Pure Appl. Algebra 38 (1985) 313. CrossRef
48. M. Gerstenhaber, / A uniform cohomology theory for algebras, / Proc. Nat. Acad. Sci. 51 (1964) 626. CrossRef
49. I.Ya. Dorfman, / Dirac structures of integrable evolution equations, / Phys. Lett. A 125 (1987) 240.
50. T. Courant, / Dirac manifolds, / Trans. Amer. Math. Soc. 319 (1990) 631. CrossRef
51. D. Roytenberg and A. WEinstein, / Courant algebroids and strongly homotopy Lie algebras, math/9802118 [INSPIRE].
52. J.C. Baez, D. Stevenson, A.S. Crans and U. Schreiber, / From loop groups to 2 / -groups, math/0504123 [INSPIRE].
53. S.-S. Chern and J. Simons, / Characteristic forms and geometric invariants, / Annals Math. 99 (1974) 48 [INSPIRE]. CrossRef
54. J. Cheeger and J. Simons, / Differential characters and geometric invariants, in / Geometry and topology, J. Alexander and J. Harer eds., Springer, U.S.A. (1985).
55. J.H.C. Whitehead, / Note on a previous paper entitled 鈥?em class="a-plus-plus">On adding relations to homotopy groups鈥? / Ann. Math. 47 (1946) 80.
56. R. Brown and C.B. Spencer, / G-groupoids, crossed modules, and the classifying space of a topological group, / Proc. Kon. Akad. v. Wet. 79 (1976) 296.
57. R. Moufang, / Zur Struktur von Alternativk枚rpern, / Math. Ann. 110 (1935) 416. CrossRef
58. A. Pressley and G. Segal, / Loop groups, Oxford University Press, Oxford, U.K. (1986).
59. A. Henriques, / Integrating L 鈭?/sub> / algebras, math/0603563.
60. C. Schommer-Pries, / Central extensions of smooth 2-groups and a finite-dimensional string 2-group, arXiv:0911.2483.
61. C. Chevalley and S. Eilenberg, / Cohomology theory of Lie groups and Lie algebras, / Trans. Amer. Math. Soc. 63 (1948) 85. CrossRef
62. A. Weil, / G茅om茅trie diff茅rentielle des espaces fibr茅s, letters to Chevalley and Koszul (1949).
63. H. Cartan, / Cohomologie re茅lle d鈥?em class="a-plus-plus">un espace fibr茅 principal diff茅rentielle I, / S茅minaire Henri Cartan 2 (1949-1950) 19-1.
64. H. Cartan, / Cohomologie re茅lle d鈥?em class="a-plus-plus">un espace fibr茅 principal diff茅rentielle II, / S茅minaire Henri Cartan 2 (1949-1950) 20-1.
65. C. Ehresmann, / Les connexions infinit茅simales dans un espace fibr茅 diff茅rentiable, in / Colloque de topologie (espaces fibr茅s) Bruxelles 1950, G. Thone ed., Li猫ge, Belgium (1951).
66. T. Nikolaus and K. Waldorf, / Four Equivalent Versions of Non-Abelian Gerbes, arXiv:1103.4815 [INSPIRE].
67. U. Schreiber, / From loop space mechanics to non-abelian strings, hep-th/0509163 [INSPIRE].
68. T. Nikolaus, U. Schreiber and D. Stevenson, / Principal infinity-bundles 鈥? / General theory, arXiv:1207.0248.
69. T. Nikolaus, U. Schreiber and D. Stevenson, / Principal infinity-bundles 鈥? / Presentations, arXiv:1207.0249.
70. D. Roytenberg, / AKSZ-BV formalism and Courant algebroid-induced topological field theories, / Lett. Math. Phys. 79 (2007) 143 [hep-th/0608150] [INSPIRE]. CrossRef - 作者单位：Roberto Zucchini (1)
1. Dipartimento di Fisica ed Astronomia, Universit脿 degli Studi di Bologna, and INFN 鈥?Sezione di Bologna, V. Irnerio 46, I-40126, Bologna, Italy - ISSN：1029-8479
文摘