On gauged linear sigma models with torsion

P. Marcos Crichigno; Martin Rocek

doi:10.1007/JHEP09(2015)207

On gauged linear sigma models with torsion

P. Marcos Crichigno^*
, Martin Rocek

^*Corresponding author for this work

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

Abstract

We study a broad class of two dimensional gauged linear sigma models (GLSMs) with off-shell supersymmetry that flow to nonlinear sigma models (NLSMs) on noncompact geometries with torsion. These models arise from coupling chi-ral, twisted chiral, and semichiral multiplets to known as well as to a new vector multiplet, the constrained semichiral vector multiplet (CSVM). We discuss three kinds of models, corresponding to torsionful deformations of standard GLSMs realizing Kahler, hy-perkahler, and Calabi-Yau manifolds. The (2, 2) supersymmetry guarantees that these spaces are generalized Kahler. Our analysis of the geometric structure is performed at the classical level, but we also discuss quantum aspects such as R-symmetry anomalies. We provide an explicit example of a generalized Kahler structure on the conifold.

Original language	English
Article number	207
Number of pages	36
Journal	Journal of High Energy Physics
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2015)207
Publication status	Published - 29 Sept 2015

Funding

P.M.C. is supported by the Netherlands Organization for Scientific Research (NWO) under the VICI Grant 680-47-603. This work is part of the D-ITP consortium, a program of the NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW). MR acknowledges NSF Grant No. PHY-1316617. P.M.C. would like to thank the "2014 Summer Simons Workshop in Mathematics and Physics" at Stony Brook, during which part of this work was done.

Keywords

Supersymmetric gauge theory
Sigma Models
GENERALIZED KAHLER GEOMETRY
WESS-ZUMINO TERM
NO-GO THEOREM
PARTITION-FUNCTIONS
2 DIMENSIONS
MANIFOLDS
SUPERSYMMETRY
DUALITY

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KW - WESS-ZUMINO TERM

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On gauged linear sigma models with torsion

Abstract

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Keywords

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