Elliptic genera of non-compact CFTs

by Prof. Sujay Ashok (The Institute of Mathematical Sciences, Chennai)

Monday, August 25, 2014 from 16:00 to 17:00 (Asia/Kolkata)
at Colaba Campus ( A304 )

Description

We calculate the elliptic genus of two dimensional abelian gauged
linear sigma models with (2,2) supersymmetry using localization
techniques. These models flow in the infrared to non-linear sigma
models whose target spaces are non-compact Kahler manifolds with U(N)
isometry and with an asymptotically linear dilaton direction. In the
best studied example of the supersymmetric cigar CFT, the elliptic
genus is known to be the modular completion of a mock-Jacobi form,
which can be written as an Appell-Lerch sum. We show that modular
completions of more general Appell-Lerch sums can also be realized as
observables in the cigar CFT.