(4,4) supergravity and (4,4) super-Liouville action in superspace

Abstract

We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. The full (4,4) superconformally invariant (improved) TM-II matter action is found. The latter can be extended to the fully covariant and (4,4) locally supersymmetric Liouville action which is suitable for describing (4,4) supersymmetric non-critical strings.

Original language	English
Pages (from-to)	229-240
Number of pages	12
Journal	Nuclear Physics B - Proceedings Supplements
Volume	56
Issue number	3
DOIs	https://doi.org/10.1016/S0920-5632(97)00330-7
Publication status	Published - 1 Jan 1997

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(97)00330-7

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title = "(4,4) supergravity and (4,4) super-Liouville action in superspace",

abstract = "We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. The full (4,4) superconformally invariant (improved) TM-II matter action is found. The latter can be extended to the fully covariant and (4,4) locally supersymmetric Liouville action which is suitable for describing (4,4) supersymmetric non-critical strings.",

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AU - Ketov, S. V.

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N2 - We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. The full (4,4) superconformally invariant (improved) TM-II matter action is found. The latter can be extended to the fully covariant and (4,4) locally supersymmetric Liouville action which is suitable for describing (4,4) supersymmetric non-critical strings.

AB - We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I in a form suitable for applications. The constraints are shown to be invariant under the N=4 super-Weyl transformations, whose N=4 superfield parameters form another twisted (scalar) multiplet TM-II. The full (4,4) superconformally invariant (improved) TM-II matter action is found. The latter can be extended to the fully covariant and (4,4) locally supersymmetric Liouville action which is suitable for describing (4,4) supersymmetric non-critical strings.

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