Abstract
The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple formulation with manifest T-duality of the double field theory that describes the massless sector of closed strings. The gauge transformations are written in terms of a generalized Lie derivative whose commutator algebra is defined by a double field theory extension of the Courant bracket.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139] [SPIRES].
C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [SPIRES].
C. Hull and B. Zwiebach, The gauge algebra of double field theory and Courant brackets, JHEP 09 (2009) 090 [arXiv:0908.1792] [SPIRES].
O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [SPIRES].
T. Kugo and B. Zwiebach, Target space duality as a symmetry of string field theory, Prog. Theor. Phys. 87 (1992) 801 [hep-th/9201040] [SPIRES].
B. Zwiebach, Closed string field theory: quantum action and the B-V master equation, Nucl. Phys. B 390 (1993) 33 [hep-th/9206084] [SPIRES].
A.A. Tseytlin, Duality symmetric formulation of string world sheet dynamics, Phys. Lett. B 242 (1990) 163 [SPIRES].
A.A. Tseytlin, Duality symmetric closed string theory and interacting chiral scalars, Nucl. Phys. B 350 (1991) 395 [SPIRES].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [SPIRES].
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [SPIRES].
A. Giveon, E. Rabinovici and G. Veneziano, Duality in string background space, Nucl. Phys. B 322 (1989) 167 [SPIRES].
M.J. Duff, Duality rotations in string theory, Nucl. Phys. B 335 (1990) 610 [SPIRES].
J. Maharana and J.H. Schwarz, Noncompact symmetries in string theory, Nucl. Phys. B 390 (1993) 3 [hep-th/9207016] [SPIRES].
K.A. Meissner and G. Veneziano, Symmetries of cosmological superstring vacua, Phys. Lett. B 267 (1991) 33 [SPIRES].
K.A. Meissner and G. Veneziano, Manifestly O(d, d) invariant approach to space-time dependent string vacua, Mod. Phys. Lett. A 6 (1991) 3397 [hep-th/9110004] [SPIRES].
A. Kleinschmidt and H. Nicolai, E 10 and SO(9, 9) invariant supergravity, JHEP 07 (2004) 041 [hep-th/0407101] [SPIRES].
N. Hitchin, Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 (2003) 281 [math/0209099].
N. Hitchin, Brackets, forms and invariant functionals, math/0508618.
M. Gualtieri, Generalized complex geometry, Ph.D. thesis, Oxford University, Oxford, U.K. (2004), math/0401221.
T. Courant, Dirac manifolds, Trans. Amer. Math. Soc. 319 (1990) 631.
C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [SPIRES].
M. Graña, R. Minasian, M. Petrini and D. Waldram, T-duality, Generalized Geometry and Non-Geometric Backgrounds, JHEP 04 (2009) 075 [arXiv:0807.4527] [SPIRES].
C. Hillmann, Generalized E(7(7)) coset dynamics and D = 11 supergravity, JHEP 03 (2009) 135 [arXiv:0901.1581] [SPIRES].
A.B. Borisov and V.I. Ogievetsky, Theory of dynamical affine and conformal symmetries as gravity theory of the gravitational field, Theor. Math. Phys. 21 (1975) 1179 [SPIRES].
P.C. West, Hidden superconformal symmetry in M-theory, JHEP 08 (2000) 007 [hep-th/0005270] [SPIRES].
P.C. West, E 11 , SL(32) and central charges, Phys. Lett. B 575 (2003) 333 [hep-th/0307098] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1006.4823
Rights and permissions
About this article
Cite this article
Hohm, O., Hull, C. & Zwiebach, B. Generalized metric formulation of double field theory. J. High Energ. Phys. 2010, 8 (2010). https://doi.org/10.1007/JHEP08(2010)008
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2010)008