The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Dual non-Abelian duality and the Drinfeld double
Open accessAbstract
Abstract The standard notion of the non-Abelian duality in string theory is generalized to the class of σ-models admitting a Poisson-Lie-like 3ymmetry. Such σ-models can be associated with every Lie bialgebra ( g , G ). Within the enlarged class of the backgrouds the non-Abelian duality is a duality transformation in the pacer sense of the word. It exchanges the roles of G and G and it can be interpreted as a symplectomorphism of the phase spaces of the mutually dual theories. We give explicit formulas for the non-Abelian duality transformation for any ( g , G ). The non-Abelian analogue of the Abelian modular space O(d, d; Z) consists of all maximally isotropic decompositions of the corresponding Drinfeld double.
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Cites
A symmetry of the string background field equations
Buscher, T. H. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)90769-6 · Cited by 1,024
Path-integral derivation of quantum duality in nonlinear sigma-models
Buscher, T. H. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)90602-8 · Cited by 987
Duality, quotients, and currents
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Symmetries of cosmological superstring vacua
Meissner, K. A., & Veneziano, G. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)90520-z · Cited by 389
Duality symmetries from non-abelian isometries in string theory
de la Ossa, X. C., & Quevedo, F. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90041-m · Cited by 382
Duality in string background space
Giveon, A., Rabinovici, E., & VENEZIANO, G. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90489-6 · Cited by 329
Some global aspects of duality in String Theory
Alvarez, E., Alvarez-Gaumé, L., Barbón, J. L. F., & Lozano, Y. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90067-1 · Cited by 263
Symplectic structures associated to Lie-Poisson groups
Alekseev, A. Y., & Malkin, A. Z. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02105190 · Cited by 189
Giveon, A., & Roček, M. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90230-5 · Cited by 171
Axial-vector duality as a gauge symmetry and topology change in string theory
Giveon, A., & KIRITSIS, E. B. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90460-x · Cited by 150
Cited by
Quantum groups and noncommutative geometry
Majid, S. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533331 · Cited by 92
Metadata
- Authors
- Klimčík, C., & Ševera, P.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1995-06
- Volume
- 351
- Issue
- 4
- Pages
- 455-462
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W1964524714
- Cited by
- 354
- References
- 12
- FWCI
- 9.89
- Type
- journal article
- Language
- en
- Open access
- green
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