A deformation invariant of 1+1D SQFTs
PIRSA ID:
20010023
Série :
Quantum Fields & String Seminars
Event Type:
Seminar
Domaine(s) scientifique(s) :
Quantum Fields and Strings
Date de fin :
Speaker(s):
The elliptic genus is a powerful deformation invariant of 1+1D SQFTs: if it is nonzero, then it protects the SQFT from admitting a deformation to one with spontaneous supersymmetry breaking. I will describe a "secondary" invariant, defined in terms of mock modularity, that goes beyond the elliptic genus, protecting SQFTs with vanishing elliptic genus. The existence of this invariant supports the hypothesis that the space of minimally supersymmetric 1+1D SQFTs provides a geometric model for universal elliptic cohomology. Based on joint works with D. Gaiotto and E. Witten.