Gauged Linear Sigma Models for Noncompact CalabiYau Varieties
Abstract
We study gauged linear sigma models for noncompact CalabiYau manifolds described as a line bundle on a hypersurface in a projective space. This gauge theory has a unique phase if the FayetIliopoulos parameter is positive, while there exist two distinct phases if the parameter is negative. In the Tdual theory, on the other hand, we obtain two types of exact massless effective theories: One is the sigma model on a newly obtained CalabiYau geometry as a mirror dual, while the other is given by a LandauGinzburg theory with a negative power term, indicating N = 2 superconformal field theory on SL(2,R)/U(1). We argue that the effective theories in the original gauged linear sigma model are exactly realized as N = 2 Liouville theories coupled to welldefined LandauGinzburg minimal models.
 Authors:
 Korea Institute for Advanced Study, Cheongnyangnidong, Dongdaemungu, Seoul 130722 (Korea, Republic of)
 Publication Date:
 OSTI Identifier:
 20729204
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 805; Journal Issue: 1; Conference: PASCOS 2005: 11. international symposium on particles, strings, and cosmology, Gyeongju (Korea, Republic of), 30 May  4 Jun 2005; Other Information: DOI: 10.1063/1.2149743; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; GAUGE INVARIANCE; GEOMETRY; GINZBURGLANDAU THEORY; QUANTUM FIELD THEORY; SIGMA MODEL; SL GROUPS; SMOOTH MANIFOLDS; SPACE; U1 GROUPS
Citation Formats
Kimura, Tetsuji. Gauged Linear Sigma Models for Noncompact CalabiYau Varieties. United States: N. p., 2005.
Web. doi:10.1063/1.2149743.
Kimura, Tetsuji. Gauged Linear Sigma Models for Noncompact CalabiYau Varieties. United States. doi:10.1063/1.2149743.
Kimura, Tetsuji. Fri .
"Gauged Linear Sigma Models for Noncompact CalabiYau Varieties". United States.
doi:10.1063/1.2149743.
@article{osti_20729204,
title = {Gauged Linear Sigma Models for Noncompact CalabiYau Varieties},
author = {Kimura, Tetsuji},
abstractNote = {We study gauged linear sigma models for noncompact CalabiYau manifolds described as a line bundle on a hypersurface in a projective space. This gauge theory has a unique phase if the FayetIliopoulos parameter is positive, while there exist two distinct phases if the parameter is negative. In the Tdual theory, on the other hand, we obtain two types of exact massless effective theories: One is the sigma model on a newly obtained CalabiYau geometry as a mirror dual, while the other is given by a LandauGinzburg theory with a negative power term, indicating N = 2 superconformal field theory on SL(2,R)/U(1). We argue that the effective theories in the original gauged linear sigma model are exactly realized as N = 2 Liouville theories coupled to welldefined LandauGinzburg minimal models.},
doi = {10.1063/1.2149743},
journal = {AIP Conference Proceedings},
number = 1,
volume = 805,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2005},
month = {Fri Dec 02 00:00:00 EST 2005}
}

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