Symmetries on the moduli space of (2,2) superstring vacua

Amit Giveon; Dirk Jan Smith

doi:10.1016/0550-3213(91)90193-2

Symmetries on the moduli space of (2,2) superstring vacua

Amit Giveon^*, Dirk Jan Smith

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

Symmetries of the space of (2,2) string vacua for c = 3, 6, 9 are discussed in the context of orbifoldized Landau-Ginzburg theories. A general method for finding the maximal symmetry groups on the moduli space of untwisted marginal operators is presented, by studying deformations of superpotentials. We give a complete discussion for the c = 3, 6 untwisted sectors. In particular we find non-abelian symmetry groups on the moduli space of c = 6 which are shown to correspond with automorphism groups of K3 surfaces. All these groups are subgroups of O(20, 4, Z). Some elements of these groups relate small volume target spaces to large ones.

Original language	English
Pages (from-to)	168-206
Number of pages	39
Journal	Nuclear Physics B
Volume	349
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(91)90193-2
State	Published - 28 Jan 1991
Externally published	Yes

Bibliographical note

Funding Information:
* This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098. ** Supported in part by the Chaim Weizmann fellowship. *** Supported in part by NSF grant PHY85-15857. I Email address: GIVEON~ LBL.bitnet, SMIT~ LBL.bitnet

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abstract = "Symmetries of the space of (2,2) string vacua for c = 3, 6, 9 are discussed in the context of orbifoldized Landau-Ginzburg theories. A general method for finding the maximal symmetry groups on the moduli space of untwisted marginal operators is presented, by studying deformations of superpotentials. We give a complete discussion for the c = 3, 6 untwisted sectors. In particular we find non-abelian symmetry groups on the moduli space of c = 6 which are shown to correspond with automorphism groups of K3 surfaces. All these groups are subgroups of O(20, 4, Z). Some elements of these groups relate small volume target spaces to large ones.",

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Symmetries on the moduli space of (2,2) superstring vacua

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