Abstract
Two issues regarding chiral p-forms areaddressed. First, we investigate the topologicalconditions on spacetime under which the action for anonchiral p-form can be split as the sum of the actionsfor two chiral p-forms, one of each chirality. Whenthese conditions are not met, we exhibit explicitly theextra topological degrees of freedom and their couplingsto the chiral modes. Second, we study the problem of constructing Lorentz-invariantself-couplings of a chiral p-form in the light of theDirac-Schwinger condition on the energy-momentum tensorcommutation relations. We show how the Perry-Schwarz condition follows from the Dirac-Schwingercriterion and point out that consistency of thegravitational coupling is automatic.
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REFERENCES
S. Deser, A. Gomberoff, M. Henneaux, and C. Teitelboim, Phys. Lett. B 400 (1997) 80.
S. Deser, A. Gomberoff, M. Henneaux, and C. Teitelboim, p-Brane dyons and electric-magnetic duality, Nucl. Phys. B, to appear [hep-th/9712189 ].
S. Deser, M. Henneaux, and A. Schwimmer, p-Brane dyons, u-terms and dimensional reduction, Phys. Lett. B, to appear [hep-th/9803106 ].
M. S. Bremer, H. Lü, C. N. Pope, and K. S. Stelle, Dirac quantisation conditions and Kaluza-Klein reduction, hep-th/9710244.
B. Julia, Dualities in the classical supergravity limits, hep-th/9805083; E. Cremmer, B. Julia, H. Lü, and C. N. Pope, Dualisation of dualities. I, hep-th/9710119.
L. Andrianopoli, R. D' Auria, and S. Ferrara, U-Duality and central charges in various dimensions revisited, hep-th/9612105.
M. Bertolini, R. Iengo, and C. A. Scucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, hep-th/9801110.
N. Marcus and J. H. Schwarz, Phys. Lett. B 115 (1982) 111.
M. Henneaux and C. Teitelboim, Phys. Lett. B 206 (1988) 650.
M. Henneaux and C. Teitelboim, Consistent quantum mechanics of chiral p-forms, in Proceedings Quantum Mechanics of Fundamental Systems 2, Santiago 1987, Plenum Press, New York (1989).
R. Floreanini and R. Jackiw, Phys. Rev. Lett. 59 (1987) 1873.
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Freeman, San Francisco (1973), Chapter 21.
F. Bastianelli and P. van Neuwenhuizen, Phys. Rev. Lett. 63 (1989) 728.
L. Alvarez-Gaume and E. Witten, Nucl. Phys. B 234 (1984) 269.
E. Witten, J. Geom. Phys. 22 (1997) 103.
L. Dolan and C. R. Nappi, A modular invariant partition function for the fivebrane, hepth/ 9806016.
P. Pasti, D. Sorokin, and M. Tonin, Phys. Lett. B 352 (1995) 59; Phys. Rev. D 52 (1995) 427.
I. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. Sorokin, and M. Tonin, Phys. Lett. B 408 (1997) 135.
P. S. Howe and E. Sezgin, Phys. Lett. 394B (1997) 62; P. S. Howe, E. Sezgin, and P. C. West, Phys. Lett. 399B (1997) 49.
M. Perry and J. H. Schwarz, Nucl. Phys. B 489 (1997) 47.
J. H. Schwarz, Phys. Lett. B 395 (1997) 191.
M. Aganagic, J. Park, C. Popescu, and J. H. Schwarz, Nucl. Phys. B 496 (1997) 191.
P. Pasti, D. Sorokin, and M. Tonin, Phys. Lett. B 398 (1997) 41; I. Bandos, K. Lechner, A. Nurmagambetov, P. Pasti, D. Sorokin, and M. Tonin, Phys. Rev. Lett. 78 (1997) 4332.
M. Cederwall, B. E. W. Nilsson, and P. Sundell, J. High Energy Phys. 4 (1998) 7.
P. A. M. Dirac, Rev. Mod. Phys. 34 (1962) 592.
J. Schwinger, Phys. Rev. 130 (1963) 406, 800.
S. Deser and Ö. Sariolu, Hamiltonian electric/magnetic duality and Lorentz invariance, hep-th/9712067.
S. I. Goldberg, Curvature and Homology, Dover, New York (1982).
P. A. M. Dirac, Lectures on Quantum Mechanics, Academic Press, New York (1964); M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, Princeton University Press, Princeton, New Jersey (1992).
C. Teitelboim, Ann. Phys. (N.Y.) 79 (1973) 542; The Hamiltonian structure of space-time, in General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, A. Held ed., Plenum Press, New York (1980).
C. Teitelboim, Ph. D. Thesis, Princeton University Press, Princeton, New Jersey (1973).
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Bekaert, X., Henneaux, M. Comments on Chiral p-Forms. International Journal of Theoretical Physics 38, 1161–1172 (1999). https://doi.org/10.1023/A:1026610530708
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DOI: https://doi.org/10.1023/A:1026610530708