Abstract
Taking clues from the recent construction of the covariant action for type II and heterotic string field theories, we construct a manifestly Lorentz covariant action for type IIB supergravity, and discuss its gauge fixing maintaining manifest Lorentz invariance. The action contains a (non-gravitating) free 4-form field besides the usual fields of type IIB supergravity. This free field, being completely decoupled from the interacting sector, has no physical consequence.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Marcus and J.H. Schwarz, Field theories that have no manifestly Lorentz invariant formulation, Phys. Lett. B 115 (1982) 111 [INSPIRE].
J.H. Schwarz and P.C. West, Symmetries and transformations of chiral N = 2 D = 10 supergravity, Phys. Lett. B 126 (1983) 301 [INSPIRE].
J.H. Schwarz, Covariant field equations of chiral N = 2 D = 10 supergravity, Nucl. Phys. B 226 (1983) 269 [INSPIRE].
P.S. Howe and P.C. West, The complete N = 2, D = 10 supergravity, Nucl. Phys. B 238 (1984) 181 [INSPIRE].
A. Sen, BV master action for heterotic and type II string field theories, JHEP 02 (2016) 087 [arXiv:1508.05387] [INSPIRE].
N. Kiryu and Y. Okawa, work in progress.
M. Henneaux and C. Teitelboim, Dynamics of chiral (selfdual) P forms, Phys. Lett. B 206 (1988) 650 [INSPIRE].
J.H. Schwarz and A. Sen, Duality symmetric actions, Nucl. Phys. B 411 (1994) 35 [hep-th/9304154] [INSPIRE].
J.H. Schwarz, Coupling a selfdual tensor to gravity in six-dimensions, Phys. Lett. B 395 (1997) 191 [hep-th/9701008] [INSPIRE].
D. Belov and G.W. Moore, Holographic action for the self-dual field, hep-th/0605038 [INSPIRE].
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 [INSPIRE].
C. Wotzasek, The Wess-Zumino term for chiral bosons, Phys. Rev. Lett. 66 (1991) 129 [INSPIRE].
I. Martin and A. Restuccia, Duality symmetric actions and canonical quantization, Phys. Lett. B 323 (1994) 311 [INSPIRE].
F.P. Devecchi and M. Henneaux, Covariant path integral for chiral p forms, Phys. Rev. D 54 (1996) 1606 [hep-th/9603031] [INSPIRE].
L.D. Faddeev and S.L. Shatashvili, Realization of the Schwinger term in the Gauss law and the possibility of correct quantization of a theory with anomalies, Phys. Lett. B 167 (1986) 225 [INSPIRE].
I. Bengtsson and A. Kleppe, On chiral p forms, Int. J. Mod. Phys. A 12 (1997) 3397 [hep-th/9609102] [INSPIRE].
N. Berkovits, Manifest electromagnetic duality in closed superstring field theory, Phys. Lett. B 388 (1996) 743 [hep-th/9607070] [INSPIRE].
N. Berkovits, Local actions with electric and magnetic sources, Phys. Lett. B 395 (1997) 28 [hep-th/9610134] [INSPIRE].
N. Berkovits, SuperMaxwell actions with manifest duality, Phys. Lett. B 398 (1997) 79 [hep-th/9610226] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, Space-time symmetries in duality symmetric models, in Gauge theories, applied supersymmetry, quantum gravity, B. de Wit et al. eds, Leuven University Press, Leuven, Begium (1995), DFPD-TH-95-46 (1995).
P. Pasti, D.P. Sorokin and M. Tonin, On Lorentz invariant actions for chiral p forms, Phys. Rev. D 55 (1997) 6292 [hep-th/9611100] [INSPIRE].
G. Dall’Agata, K. Lechner and D.P. Sorokin, Covariant actions for the bosonic sector of D = 10 IIB supergravity, Class. Quant. Grav. 14 (1997) L195 [hep-th/9707044] [INSPIRE].
G. Dall’Agata, K. Lechner and M. Tonin, D = 10, N = IIB supergravity: Lorentz invariant actions and duality, JHEP 07 (1998) 017 [hep-th/9806140] [INSPIRE].
G. Dall’Agata, K. Lechner and M. Tonin, Action for IIB supergravity in 10-dimensions, hep-th/9812170 [INSPIRE].
E. Witten, Five-brane effective action in M-theory, J. Geom. Phys. 22 (1997) 103 [hep-th/9610234] [INSPIRE].
E. Witten, Duality relations among topological effects in string theory, JHEP 05 (2000) 031 [hep-th/9912086] [INSPIRE].
L. Castellani and I. Pesando, The complete action of chiral D = 10, N = 2 supergravity, Conf. Proc. C 9115201 (1991) 24 [INSPIRE].
L. Castellani and I. Pesando, The complete superspace action of chiral D = 10, N = 2 supergravity, Int. J. Mod. Phys. A 8 (1993) 1125 [INSPIRE].
M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3 + 1)-dimensions, Phys. Lett. B 243 (1990) 378 [INSPIRE].
M.A. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d), Phys. Lett. B 567 (2003) 139 [hep-th/0304049] [INSPIRE].
X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions, hep-th/0503128 [INSPIRE].
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [INSPIRE].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
W. Siegel, Manifest duality in low-energy superstrings, in the procedings of Stringe ’93, May 24-29, Berkeley, U.S.A. (1993), hep-th/9308133 [INSPIRE].
C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
L. Álvarez-Gaumé and E. Witten, Gravitational anomalies, Nucl. Phys. B 234 (1984) 269 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1511.08220
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Sen, A. Covariant action for type IIB supergravity. J. High Energ. Phys. 2016, 17 (2016). https://doi.org/10.1007/JHEP07(2016)017
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2016)017