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Abstract: Superconformal sigma models with Calabi--Yau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the low-energy limit of certain abelian gauge theories in two dimensions. We formulate mirror symmetry for this class of Calabi--Yau spaces as a duality in the abelian gauge theory, giving the explicit mapping relating the two Lagrangians. The duality relates inequivalent theories which lead to isomorphic theories in the low-energy limit. This... (Update)
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...X. We start by constructing X following a method of Batyrev Borisov [32] which has an equivalent formulation in terms of the linear oe model [33]. We introduce variables y i to each field in the linear sigma model. or equivalently for each edge of the toric fan) Then the y i...
.... to) mirror symmetry in such toric cases; but these involve constructions with lagrangian densities, which live along the top edge [MP96, HV00]. The proposal sketched here aims to provide a foundation for the vertical arrows that allows a physically motivated, but...
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BibTeX entry: (Update)
D. Morrison and R. Plesser, Nucl. Phys. B440 (1995)279, hep-th/9412236, Towards Mirror Symmetry as Duality For Two-Dimensional Abelian Gauge Theories, hepth /9508107 http://citeseer.ist.psu.edu/75760.html More
@misc{ morrison95towards,
author = "D. Morrison and R. Plesser and N. Phys and B. hep-th",
title = "Towards Mirror Symmetry as Duality For Two-Dimensional Abelian Gauge Theories",
text = "D. Morrison and R. Plesser, Nucl. Phys. B440 (1995)279, hep-th/9412236,
Towards Mirror Symmetry as Duality For Two-Dimensional Abelian Gauge Theories,
hepth /9508107",
year = "1995",
url = "citeseer.ist.psu.edu/75760.html" }
Citations (may not include all citations):19 Dual Polyhedra and Mirror Symmetry for Calabi--Yau Hypersurf.. (context) - Batyrev - 1994
12 Supersymmetric Yang--Mills Theory (context) - Seiberg, Witten et al. - 1994
11 Electric-Magnetic Duality in Supersymmetric Nonabelian Gauge.. (context) - Seiberg - 1995
9 Duality in Calabi--Yau Moduli Space (context) - Greene, Plesser - 1990
6 Twisted Multiplets and New Supersymmetric Nonlinear Sigma Mo.. (context) - Gates, Hull et al. - 1984
6 Duality and Chiral Symmetry Breaking in N=2 Supersymmetric Q.. (context) - Seiberg, Witten - 1994
5 Chiral Rings in N=2 Superconformal Theories (context) - Lerche, Vafa et al. - 1989
5 Theories in Two Dimensions (context) - Witten, of - 1993
5 Summing the Instantons: Quantum Cohomology and Mirror Symmet.. (context) - Morrison, Plesser - 1995
4 The Monomial-Divisor Mirror Map (context) - Aspinwall, Greene et al. - 1993
4 Calabi--Yau Manifolds in Weighted P (context) - Candelas, Lynker et al. - 1990
4 Target Space Duality and Stringy Black Holes (context) - Giveon - 1991
3 Towards the Mirror Symmetry for Calabi--Yau Complete Interse.. (context) - Borisov - 1993
3 Mirror Manifolds and Spacetime Topology Change in String The.. (context) - Aspinwall, Greene et al. - 1994
2 A Generalized Construction of Mirror Manifolds (context) - Berglund, Hubsch - 1993
1 the Geometric Interpretation of N=2 Superconformal Theories (context) - Aspinwall, Greene - 1995
1 The Multinomial-Divisor Mirror Map (context) - Katz, Morrison
1 Essays on Mirror Manifolds II (context) - Giveon, Rocek et al.
1 Mirror Symmetry for Calabi--Yau Hypersurfaces in Weighted P .. - Candelas, Ossa et al. - 1995
1 and Currents (context) - Rocek, Verlinde et al. - 1992
1 Mirror Symmetry as a Gauge Symmetry (context) - Giveon, Witten - 1994
1 Symmetry And Conformal Invariance (context) - Silverstein, Witten et al. - 1994
1 Essays on Mirror Manifolds II (context) - Batyrev, Borisov et al.
1 Mirror Symmetry and the Elliptic Genus (context) - Berglund, Henningson et al. - 1995
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