TY - JOUR
T1 - Elliptic genera of landau-ginzburg models over nontrivial spaces
AU - Ando, Matt
AU - Sharpe, Eric
PY - 2012
Y1 - 2012
N2 - In this paper, we discuss elliptic genera of (2,2) and (0,2) supersymmetric Landau-Ginzburg models over nontrivial spaces, i.e., nonlinear sigma models on nontrivial noncompact manifolds with superpotential, generalizing old computations in Landau-Ginzburg models over (orbifolds of) vector spaces. For Landau-Ginzburg models in the same universality class as nonlinear sigma models, we explicitly check that the elliptic genera of the Landau-Ginzburg models match that of the nonlinear sigma models, via a Thom class computation of a form analogous to that appearing in recent studies of other properties of Landau-Ginzburg models on nontrivial spaces.
AB - In this paper, we discuss elliptic genera of (2,2) and (0,2) supersymmetric Landau-Ginzburg models over nontrivial spaces, i.e., nonlinear sigma models on nontrivial noncompact manifolds with superpotential, generalizing old computations in Landau-Ginzburg models over (orbifolds of) vector spaces. For Landau-Ginzburg models in the same universality class as nonlinear sigma models, we explicitly check that the elliptic genera of the Landau-Ginzburg models match that of the nonlinear sigma models, via a Thom class computation of a form analogous to that appearing in recent studies of other properties of Landau-Ginzburg models on nontrivial spaces.
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U2 - 10.4310/ATMP.2012.v16.n4.a1
DO - 10.4310/ATMP.2012.v16.n4.a1
M3 - Article
AN - SCOPUS:84880608396
SN - 1095-0761
VL - 16
SP - 1087
EP - 1144
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
IS - 4
ER -