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Volumn 6, Issue 4, 2002, Pages 515-580

Graded Chern-Simons field theory and graded topological D-branes

Author keywords

BRST Symmetry; Chern Simons Theories; D branes; Topological Field Theories

Indexed keywords


EID: 21444452690     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/04/023     Document Type: Article
Times cited : (7)

References (53)
  • 2
    • 33744514429 scopus 로고    scopus 로고
    • Generalized complexes and string field theory
    • [hep-th/0102122]
    • C.I. Lazaroiu, Generalized complexes and string field theory, J. High Energy Phys. 06 (2001) 052 [hep-th/0102122].
    • (2001) J. High Energy Phys. , vol.6 , pp. 052
    • Lazaroiu, C.I.1
  • 3
    • 33744759596 scopus 로고    scopus 로고
    • Unitarity, D-brane dynamics and D-brane categories
    • [hep-th/0102183]
    • C.I. Lazaroiu, Unitarity, D-brane dynamics and D-brane categories, J. High Energy Phys. 12 (2001) 031 [hep-th/0102183].
    • (2001) J. High Energy Phys. , vol.12 , pp. 031
    • Lazaroiu, C.I.1
  • 4
    • 33745054164 scopus 로고    scopus 로고
    • Derived categories and zero-brane stability
    • [hep-th/0104147]
    • P.S. Aspinwall and A.E. Lawrence, Derived categories and zero-brane stability, J. High Energy Phys. 08 (2001) 004 [hep-th/0104147].
    • (2001) J. High Energy Phys. , vol.8 , pp. 004
    • Aspinwall, P.S.1    Lawrence, A.E.2
  • 5
    • 33744506688 scopus 로고    scopus 로고
    • Enhanced D-brane categories from string field theory
    • [hep-th/0104200]
    • D.-E. Diaconescu, Enhanced D-brane categories from string field theory, J. High Energy Phys. 06 (2001) 016 [hep-th/0104200].
    • (2001) J. High Energy Phys. , vol.6 , pp. 016
    • Diaconescu, D.-E.1
  • 6
    • 33744517468 scopus 로고    scopus 로고
    • Graded lagrangians, exotic topological D-branes and enhanced triangulated categories
    • [hep-th/0105063]
    • C.I. Lazaroiu, Graded lagrangians, exotic topological D-branes and enhanced triangulated categories, J. High Energy Phys. 06 (2001) 064 [hep-th/0105063].
    • (2001) J. High Energy Phys. , vol.6 , pp. 064
    • Lazaroiu, C.I.1
  • 7
    • 0001690113 scopus 로고    scopus 로고
    • On superconnections and the tachyon effective action
    • [hep-th/0012222]
    • M. Alishahiha, H. Ita and Y. Oz, On superconnections and the tachyon effective action, Phys. Lett. B 503 (2001) 181 [hep-th/0012222].
    • (2001) Phys. Lett. B , vol.503 , pp. 181
    • Alishahiha, M.1    Ita, H.2    Oz, Y.3
  • 8
    • 33744897004 scopus 로고    scopus 로고
    • Brane-antibrane systems on Calabi-Yau spaces
    • [hep-th/0009112]
    • Y. Oz, T. Pantev and D. Waldram, Brane-antibrane systems on Calabi-Yau spaces, J. High Energy Phys. 02 (2001) 045 [hep-th/0009112].
    • (2001) J. High Energy Phys. , vol.2 , pp. 045
    • Oz, Y.1    Pantev, T.2    Waldram, D.3
  • 10
    • 0012256133 scopus 로고    scopus 로고
    • ∞-categories and topological field theory
    • Lecture notes in pure and applied mathematics, Dekker, New York
    • ∞-categories and topological field theory, in Geometry and physics, Lecture notes in pure and applied mathematics, 184, pp. 9-32, Dekker, New York, 1997;
    • (1997) Geometry and Physics , vol.184 , pp. 9-32
  • 14
    • 16144366365 scopus 로고    scopus 로고
    • D-branes on Calabi-Yau spaces and their mirrors
    • [hep-th/9606112]
    • H. Ooguri, Y. Oz, Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112].
    • (1996) Nucl. Phys. B , vol.477 , pp. 407
    • Ooguri, H.1    Oz, Y.2    Yin, Z.3
  • 17
    • 0000782811 scopus 로고    scopus 로고
    • The geometry of the master equation and topological quantum field theory
    • [hep-th/9502010]
    • 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].
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1405
    • Alexandrov, M.1    Kontsevich, M.2    Schwartz, A.3    Zaboronsky, O.4
  • 20
    • 0000750629 scopus 로고    scopus 로고
    • Graded Lagrangian submanifolds
    • [math.SG/9903049]
    • P. Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000), 103 [math.SG/9903049].
    • (2000) Bull. Soc. Math. France , vol.128 , pp. 103
    • Seidel, P.1
  • 21
    • 84967772588 scopus 로고
    • Flat vector bundles, direct images and higher analytic torsion
    • J.M. Bismut and J. Lott, Flat vector bundles, direct images and higher analytic torsion, J. Amer. Math. Soc. 8 (1992) 291.
    • (1992) J. Amer. Math. Soc. , vol.8 , pp. 291
    • Bismut, J.M.1    Lott, J.2
  • 22
    • 0040185353 scopus 로고
    • Superconnections and the Chern character
    • D. Quillen, Superconnections and the Chern character, Topology 24 1 (1985) 89.
    • (1985) Topology , vol.24 , Issue.1 , pp. 89
    • Quillen, D.1
  • 23
    • 0031576432 scopus 로고    scopus 로고
    • Tensor constructions of open string theories i: Foundations
    • [hep-th/9705038]
    • M.R. Gaberdiel and B. Zwiebach, Tensor constructions of open string theories i: foundations, Nucl. Phys. B 505 (1997) 569 [hep-th/9705038].
    • (1997) Nucl. Phys. B , vol.505 , pp. 569
    • Gaberdiel, M.R.1    Zwiebach, B.2
  • 24
    • 0001496504 scopus 로고    scopus 로고
    • Oriented open-closed string theory revisited
    • [hep-th/9705241]
    • B. Zwiebach, Oriented open-closed string theory revisited, Ann. Phys. (NY) 267 (1998) 193 [hep-th/9705241].
    • (1998) Ann. Phys. (NY) , vol.267 , pp. 193
    • Zwiebach, B.1
  • 25
    • 0000125848 scopus 로고
    • Skein relations and wilson loops in Chern-Simons gauge theory
    • J.H. Home, Skein relations and wilson loops in Chern-Simons gauge theory, Nucl. Phys. B 334 (1990) 669;
    • (1990) Nucl. Phys. B , vol.334 , pp. 669
    • Home, J.H.1
  • 26
    • 0011676769 scopus 로고
    • The quasirational fusion structure of SU(M|N) Chern-Simons and W-Z-W theories
    • M. Bourdeau, E.J. Mlawer, H. Riggs and H.J. Schnitzer, The quasirational fusion structure of SU(M|N) Chern-Simons and W-Z-W theories, Nucl. Phys. B 372 (1992) 303;
    • (1992) Nucl. Phys. B , vol.372 , pp. 303
    • Bourdeau, M.1    Mlawer, E.J.2    Riggs, H.3    Schnitzer, H.J.4
  • 27
    • 0043009933 scopus 로고
    • Reidemeister torsion, the Alexander polynomial and U(1, 1) Chern-Simons theory
    • [hep-th/9209073]
    • L. Rozansky and H. Saleur, Reidemeister torsion, the Alexander polynomial and U(1, 1) Chern-Simons theory, J. Geom. Phys. 13 (1994) 105 [hep-th/9209073].
    • (1994) J. Geom. Phys. , vol.13 , pp. 105
    • Rozansky, L.1    Saleur, H.2
  • 28
    • 0000513682 scopus 로고
    • A note on the antibracket formalism
    • E. Witten, A note on the antibracket formalism, Mod. Phys. Lett. A 5 (1990) 487.
    • (1990) Mod. Phys. Lett. A , vol.5 , pp. 487
    • Witten, E.1
  • 29
    • 0001547351 scopus 로고
    • Geometric interpretation of the quantum master equation in the BRST anti-BRST formalism
    • [hep-th/9205018]
    • M. Henneaux, Geometric interpretation of the quantum master equation in the BRST anti-BRST formalism, Phys. Lett. B 282 (1992) 372 [hep-th/9205018].
    • (1992) Phys. Lett. B , vol.282 , pp. 372
    • Henneaux, M.1
  • 30
    • 0000253865 scopus 로고
    • On the geometry of the Batalin-Vilkovsky formalism
    • [hep-th/9303136]
    • O.M. Khudaverdian and A.P. Nersessian, On the geometry of the Batalin-Vilkovsky formalism, Mod. Phys. Lett. A 8 (1993) 2377 [hep-th/9303136].
    • (1993) Mod. Phys. Lett. A , vol.8 , pp. 2377
    • Khudaverdian, O.M.1    Nersessian, A.P.2
  • 31
    • 0000526951 scopus 로고
    • Geometry of Batalin-Vilkovisky quantization
    • [hep-th/9205088]
    • A. Schwarz, Geometry of Batalin-Vilkovisky quantization, Commun. Math. Phys. 155 (1993) 249 [hep-th/9205088].
    • (1993) Commun. Math. Phys. , vol.155 , pp. 249
    • Schwarz, A.1
  • 32
    • 14244269501 scopus 로고
    • Semiclassical approximation in Batalin-Vilkovisky formalism
    • [hep-th/9210115]
    • A. Schwarz, Semiclassical approximation in Batalin-Vilkovisky formalism, Commun. Math. Phys. 158 (1993) 373 [hep-th/9210115].
    • (1993) Commun. Math. Phys. , vol.158 , pp. 373
    • Schwarz, A.1
  • 33
    • 33847398935 scopus 로고
    • Symmetry transformations in Batalin-Vilkovisky formalism
    • [hep-th/9310124]
    • A. Schwarz, Symmetry transformations in Batalin-Vilkovisky formalism, Lett. Math. Phys. 31 (1994) 299 [hep-th/9310124].
    • (1994) Lett. Math. Phys. , vol.31 , pp. 299
    • Schwarz, A.1
  • 35
    • 0001085242 scopus 로고
    • Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
    • J.M.L. Fisch, M. Henneaux, J. Stasheff and C. Teitelboim, Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts, Commun. Math. Phys. 120 (1989) 379.
    • (1989) Commun. Math. Phys. , vol.120 , pp. 379
    • Fisch, J.M.L.1    Henneaux, M.2    Stasheff, J.3    Teitelboim, C.4
  • 36
    • 33744760122 scopus 로고
    • Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories
    • J.M. Fisch and M. Henneaux, Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories, Commun. Math. Phys. 128 (1990) 627.
    • (1990) Commun. Math. Phys. , vol.128 , pp. 627
    • Fisch, J.M.1    Henneaux, M.2
  • 38
    • 44949289783 scopus 로고
    • Lectures on the antifield-BRST formalism for gauge theories
    • M. Henneaux, Lectures on the antifield-BRST formalism for gauge theories, Nucl. Phys. 18A (Proc. Suppl.) (1990) 47.
    • (1990) Nucl. Phys. , vol.18 A , Issue.PROC. SUPPL. , pp. 47
    • Henneaux, M.1
  • 39
    • 0002723323 scopus 로고
    • Antibracket, antifields and gauge theory quantization
    • [hep-th/9412228]
    • J. Gomis, J. Paris and S. Samuel, Antibracket, antifields and gauge theory quantization, Phys. Rept. 259 (1995) 1 [hep-th/9412228].
    • (1995) Phys. Rept. , vol.259 , pp. 1
    • Gomis, J.1    Paris, J.2    Samuel, S.3
  • 40
    • 0003272077 scopus 로고
    • The method of second quantization
    • Academic Press, New York
    • F.A. Berezin, The method of second quantization, Pure and Appl. Phys. 24, Academic Press, New York 1966.
    • (1966) Pure and Appl. Phys. , vol.24
    • Berezin, F.A.1
  • 41
    • 0004171988 scopus 로고
    • Cambridge University Press, Cambridge
    • B. De Witt, Supermanifolds, Cambridge University Press, Cambridge 1984.
    • (1984) Supermanifolds
    • De Witt, B.1
  • 42
    • 36749111350 scopus 로고
    • A global theory of supermanifolds
    • A. Rogers, A global theory of supermanifolds, J. Math. Phys. 21 (1980) 1352.
    • (1980) J. Math. Phys. , vol.21 , pp. 1352
    • Rogers, A.1
  • 43
    • 0031260720 scopus 로고    scopus 로고
    • Supergeometry and quantum field theory, or: What is a classical configuration?
    • [hep-th/9607132]
    • T. Schmitt, Supergeometry and quantum field theory, or: what is a classical configuration?, Rev. Mod. Phys. 9 (1997) 993 [hep-th/9607132].
    • (1997) Rev. Mod. Phys. , vol.9 , pp. 993
    • Schmitt, T.1
  • 44
    • 0001441027 scopus 로고    scopus 로고
    • Three constructions of Frobenius manifolds: A comparative study
    • [math.QA/9801006]
    • Yu.I. Manin, Three constructions of Frobenius manifolds: a comparative study, Asian J. Math. 3 (1999) no. 1, 179, [math.QA/9801006].
    • (1999) Asian J. Math. , vol.3 , Issue.1 , pp. 179
    • Manin, Yu.I.1
  • 46
    • 1542511960 scopus 로고
    • Topological sigma models
    • E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988) 411.
    • (1988) Commun. Math. Phys. , vol.118 , pp. 411
    • Witten, E.1
  • 47
    • 0002235677 scopus 로고
    • Mirror manifolds and topological field theory
    • Internat. Press, Hong Kong [hep-th/9112056]
    • E. Witten, Mirror manifolds and topological field theory, in Essays on mirror manifolds, pp. 120-158, Internat. Press, Hong Kong 1992 [hep-th/9112056].
    • (1992) Essays on Mirror Manifolds , pp. 120-158
    • Witten, E.1
  • 48
    • 0030580240 scopus 로고    scopus 로고
    • Mirror symmetry is T-duality
    • [hep-th/9606040]
    • A. Strominger, S.-T. Yau and E. Zaslow, Mirror symmetry is T-duality, Nucl. Phys. B 479 (1996) 243 [hep-th/9606040].
    • (1996) Nucl. Phys. B , vol.479 , pp. 243
    • Strominger, A.1    Yau, S.-T.2    Zaslow, E.3
  • 50
    • 21144465950 scopus 로고
    • Extended form method of antifield BRST formalism for topological quantum field theories
    • [hep-th/9206061]
    • H. Ikemori, Extended form method of antifield BRST formalism for topological quantum field theories, Class. and Quant. Grav. 10 (1993) 233 [hep-th/9206061].
    • (1993) Class. and Quant. Grav. , vol.10 , pp. 233
    • Ikemori, H.1
  • 51
    • 0032472567 scopus 로고    scopus 로고
    • The sh Lie structure of Poisson brackets in field theory
    • G. Barnich, R. Fulp, T. Lada, J. Stasheff, The sh Lie structure of Poisson brackets in field theory, Commun. Math. Phys. 191 (1998) 585.
    • (1998) Commun. Math. Phys. , vol.191 , pp. 585
    • Barnich, G.1    Fulp, R.2    Lada, T.3    Stasheff, J.4
  • 52
    • 23044442294 scopus 로고
    • Quantum equivalence of different field representations
    • W. Siegel, Quantum equivalence of different field representations, Phys. Lett. B 103 (1981) 107.
    • (1981) Phys. Lett. B , vol.103 , pp. 107
    • Siegel, W.1


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