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Volumn 541, Issue 3, 1999, Pages 651-670

On the deformation quantization description of matrix compactifications

Author keywords

Classical differential geometry; Deformation quantization; Gauge theories; Matrix compactifications

Indexed keywords


EID: 0033098185     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00721-4     Document Type: Article
Times cited : (20)

References (65)
  • 1
    • 85034179119 scopus 로고    scopus 로고
    • hep-th/9710231
    • [1] T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072; W. Taylor IV, hep-th/9801182; A. Sen, hep-th/9802051.
    • Banks, T.1
  • 2
    • 85034190378 scopus 로고    scopus 로고
    • hep-th/9712072
    • [1] T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072; W. Taylor IV, hep-th/9801182; A. Sen, hep-th/9802051.
    • Bigatti, D.1    Susskind, L.2
  • 3
    • 85034190557 scopus 로고    scopus 로고
    • hep-th/9801182
    • [1] T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072; W. Taylor IV, hep-th/9801182; A. Sen, hep-th/9802051.
    • Taylor W. IV1
  • 4
    • 85034202166 scopus 로고    scopus 로고
    • hep-th/9802051
    • [1] T. Banks, hep-th/9710231; D. Bigatti and L. Susskind, hep-th/9712072; W. Taylor IV, hep-th/9801182; A. Sen, hep-th/9802051.
    • Sen, A.1
  • 5
    • 0642363984 scopus 로고    scopus 로고
    • M-theory as a matrix model: A conjecture
    • hep-th/9610043
    • [2] T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a Matrix model: A conjecture, Phys. Rev. D 55 (1997) 5112, hep-th/9610043.
    • (1997) Phys. Rev. D , vol.55 , pp. 5112
    • Banks, T.1    Fischler, W.2    Shenker, S.H.3    Susskind, L.4
  • 6
    • 0041047484 scopus 로고    scopus 로고
    • D-brane field theory on compact spaces
    • hep-th/9611042
    • [3] W. Taylor IV, D-brane field theory on compact spaces, Phys. Lett. B 394 (1997) 283, hep-th/9611042.
    • (1997) Phys. Lett. B , vol.394 , pp. 283
    • Taylor W. IV1
  • 7
    • 0031565524 scopus 로고    scopus 로고
    • Branes, fluxes and duality in matrix theory
    • hep-th/9611202
    • [4] O.J. Ganor, S. Ramgoolam and W. Taylor IV, Branes, fluxes and duality in Matrix theory, Nucl. Phys. B 492 (1997) 191, hep-th/9611202.
    • (1997) Nucl. Phys. B , vol.492 , pp. 191
    • Ganor, O.J.1    Ramgoolam, S.2    Taylor W. IV3
  • 10
    • 0001555131 scopus 로고    scopus 로고
    • Why is the matrix model correct?
    • hep-th/9710009
    • [7] N. Seiberg, Why is the Matrix model correct?, Phys. Rev. Lett. 79 (1997) 3577, hep-th/9710009.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3577
    • Seiberg, N.1
  • 27
    • 0003343858 scopus 로고
    • Deformation quantization
    • [21] A. Weinstein, Deformation quantization, Séminaire Bourbaki 789 (1994) Asterisque 227 (1995) 389.
    • (1994) Séminaire Bourbaki , vol.789
    • Weinstein, A.1
  • 28
    • 0000969654 scopus 로고
    • [21] A. Weinstein, Deformation quantization, Séminaire Bourbaki 789 (1994) Asterisque 227 (1995) 389.
    • (1995) Asterisque , vol.227 , pp. 389
  • 31
    • 84972506966 scopus 로고
    • A simple geometrical construction of deformation quantization
    • [24] B.V. Fedosov, A simple geometrical construction of deformation quantization, J. Diff. Geom. 40 (1994) 213.
    • (1994) J. Diff. Geom. , vol.40 , pp. 213
    • Fedosov, B.V.1
  • 33
    • 0031552769 scopus 로고    scopus 로고
    • A large-N reduced model as superstring
    • hep-th/9612115
    • [26] Ishibashi, H. Kawai, Y. Kitazawa and T. Tsuchiya, A large-N reduced model as superstring, Nucl. Phys. B 498 (1997) 467, hep-th/9612115.
    • (1997) Nucl. Phys. B , vol.498 , pp. 467
    • Ishibashi1    Kawai, H.2    Kitazawa, Y.3    Tsuchiya, T.4
  • 34
    • 0030359659 scopus 로고    scopus 로고
    • hep-th/9603053
    • [27] A. Connes, Commun. Math. Phys. 182 (1996) 155, hep-th/9603053.
    • (1996) Commun. Math. Phys. , vol.182 , pp. 155
    • Connes, A.1
  • 35
    • 0000644521 scopus 로고
    • [28] M. Claudson and M. Halpern, Nucl. Phys. B 250 (1985) 689; R. Flume, Ann. Phys. 164 (1985) 189; M. Baake, P. Reinicke and V. Rittenberg, J. Math. Phys. 26 (1985) 1070.
    • (1985) Nucl. Phys. B , vol.250 , pp. 689
    • Claudson, M.1    Halpern, M.2
  • 36
    • 0000200719 scopus 로고
    • [28] M. Claudson and M. Halpern, Nucl. Phys. B 250 (1985) 689; R. Flume, Ann. Phys. 164 (1985) 189; M. Baake, P. Reinicke and V. Rittenberg, J. Math. Phys. 26 (1985) 1070.
    • (1985) Ann. Phys. , vol.164 , pp. 189
    • Flume, R.1
  • 37
    • 33750538751 scopus 로고
    • [28] M. Claudson and M. Halpern, Nucl. Phys. B 250 (1985) 689; R. Flume, Ann. Phys. 164 (1985) 189; M. Baake, P. Reinicke and V. Rittenberg, J. Math. Phys. 26 (1985) 1070.
    • (1985) J. Math. Phys. , vol.26 , pp. 1070
    • Baake, M.1    Reinicke, P.2    Rittenberg, V.3
  • 38
    • 0009368561 scopus 로고
    • MIT Ph.D. Thesis
    • [29] J. Hoppe, MIT Ph.D. Thesis (1982); Phys. Lett. B 215 (1988) 706.
    • (1982)
    • Hoppe, J.1
  • 39
    • 30244508786 scopus 로고
    • [29] J. Hoppe, MIT Ph.D. Thesis (1982); Phys. Lett. B 215 (1988) 706.
    • (1988) Phys. Lett. B , vol.215 , pp. 706
  • 44
    • 0009319018 scopus 로고
    • Proceedings, Strings
    • [33] I. Bars, Strings from reduced large-N gauge theory via area-preserving diffeomorphisms, preprint USC-90/HEP-12, IASSNS-HEP-90/21 (1990); Area-preserving diffeomorphisms as a bridge between strings and large-N QCD, Proceedings, Strings 1990, p. 202.
    • (1990) Area-preserving Diffeomorphisms as a Bridge between Strings and Large-N QCD , pp. 202
  • 46
    • 0003189306 scopus 로고    scopus 로고
    • [35] H. García-Compeán and J.F. Plebański, Phys. Lett. A 234 (1997) 5; H. García-Compeán, J.F. Plebański and N. Quiroz-Pérez, On the reduced SU(N) gauge theory in the WWM-formalism, Int. J. Mod. Phys. A 13 (1998) 2089, hep-th/9610248.
    • (1997) Phys. Lett. A , vol.234 , pp. 5
    • García-Compeán, H.1    Plebański, J.F.2
  • 47
    • 0000091820 scopus 로고    scopus 로고
    • On the reduced SU(N) gauge theory in the WWM-formalism
    • hep-th/9610248
    • [35] H. García-Compeán and J.F. Plebański, Phys. Lett. A 234 (1997) 5; H. García-Compeán, J.F. Plebański and N. Quiroz-Pérez, On the reduced SU(N) gauge theory in the WWM-formalism, Int. J. Mod. Phys. A 13 (1998) 2089, hep-th/9610248.
    • (1998) Int. J. Mod. Phys. A , vol.13 , pp. 2089
    • García-Compeán, H.1    Plebański, J.F.2    Quiroz-Pérez, N.3
  • 48
    • 0001131714 scopus 로고    scopus 로고
    • Moyal bracket in M-theory
    • hep-th/9707190
    • [36] D.B. Fairlie, Moyal bracket in M-theory, Mod. Phys. Lett. A 13 (1998) 263, hep-th/9707190.
    • (1998) Mod. Phys. Lett. A , vol.13 , pp. 263
    • Fairlie, D.B.1
  • 50
    • 0009322387 scopus 로고    scopus 로고
    • World Scientific, Singapore
    • [37] R.A. Baadhio, Global anomalies induced by deformed quantization, preprint UCB-PTH-94/20; Quantum Topology and Global Anomalies (World Scientific, Singapore, 1996).
    • (1996) Quantum Topology and Global Anomalies
  • 52
    • 0001454198 scopus 로고
    • Weyl manifolds and deformation quantization
    • [39] H. Omory, Y. Maeda and A. Yoshioki, Weyl manifolds and deformation quantization, Adv. Math. 85 (1991) 224.
    • (1991) Adv. Math. , vol.85 , pp. 224
    • Omory, H.1    Maeda, Y.2    Yoshioki, A.3
  • 53
    • 0000074913 scopus 로고
    • Déformations de l'algèbre des fonctions d'une variété symplectique: Comparaison entre Fedosov et De Wilde, Lecomte
    • [40] P. Deligne, Déformations de l'Algèbre des fonctions d'une variété symplectique: Comparaison entre Fedosov et De Wilde, Lecomte, Selecta Mathematica 1 (1995) 667.
    • (1995) Selecta Mathematica , vol.1 , pp. 667
    • Deligne, P.1
  • 54
    • 0009362453 scopus 로고    scopus 로고
    • Quantum-deformed geometry on phase space
    • hep-th/9510011
    • [41] E. Gozzi and M. Reuter, Quantum-deformed geometry on phase space, Int. J. Mod. Phys. A 11 (1996) 1253, hep-th/9510011; M. Reuter, Non-commutative geometry on quantum phase space. Int. J. Mod. Phys. A 11 (1996) 1253; Non-commutative geometry, multiscalars and the symbol map, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 333.
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 1253
    • Gozzi, E.1    Reuter, M.2
  • 55
    • 0009362453 scopus 로고    scopus 로고
    • Non-commutative geometry on quantum phase space
    • [41] E. Gozzi and M. Reuter, Quantum-deformed geometry on phase space, Int. J. Mod. Phys. A 11 (1996) 1253, hep-th/9510011; M. Reuter, Non-commutative geometry on quantum phase space. Int. J. Mod. Phys. A 11 (1996) 1253; Non-commutative geometry, multiscalars and the symbol map, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 333.
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 1253
    • Reuter, M.1
  • 56
    • 16144367867 scopus 로고    scopus 로고
    • Non-commutative geometry, multiscalars and the symbol map
    • [41] E. Gozzi and M. Reuter, Quantum-deformed geometry on phase space, Int. J. Mod. Phys. A 11 (1996) 1253, hep-th/9510011; M. Reuter, Non-commutative geometry on quantum phase space. Int. J. Mod. Phys. A 11 (1996) 1253; Non-commutative geometry, multiscalars and the symbol map, Nucl. Phys. B (Proc. Suppl.) 49 (1996) 333.
    • (1996) Nucl. Phys. B (Proc. Suppl.) , vol.49 , pp. 333
  • 60
    • 0000401678 scopus 로고    scopus 로고
    • Geometry associated with self-dual Yang-Mills and the chiral model approaches to self-dual gravity
    • hep-th/9702046
    • [45] H. García-Compeán, J.F. Plebański and M. Przanowski, Geometry associated with self-dual Yang-Mills and the chiral model approaches to self-dual gravity, Acta Phys. Pol. B 29 (1998) 549, hep-th/9702046.
    • (1998) Acta Phys. Pol. B , vol.29 , pp. 549
    • García-Compeán, H.1    Plebański, J.F.2    Przanowski, M.3
  • 62
    • 0031497431 scopus 로고    scopus 로고
    • Basic properties of symplectic Dirac operators
    • [47] K. Habermann, Basic properties of symplectic Dirac operators, Commun. Math. Phys. 184 (1997) 629.
    • (1997) Commun. Math. Phys. , vol.184 , pp. 629
    • Habermann, K.1
  • 65
    • 85034187525 scopus 로고    scopus 로고
    • Quantum mechanics as a gauge theory of metaplectic spinor fields
    • to appear in, hep-th/9804036
    • [50] M. Reuter, Quantum mechanics as a gauge theory of metaplectic spinor fields, to appear in Int. J. Mod. Phys. A, hep-th/9804036.
    • Int. J. Mod. Phys. A
    • Reuter, M.1


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