• Corpus ID: 235683263

Spin-cobordisms, surgeries and fermionic modular bootstrap

@inproceedings{Grigoletto2021SpincobordismsSA,
  title={Spin-cobordisms, surgeries and fermionic modular bootstrap},
  author={Andrea Grigoletto and Pavel Putrov},
  year={2021}
}
We consider general fermionic quantum field theories with a global finite group symmetry G, focusing on the case of 2-dimensions and torus spacetime. The modular transformation properties of the family of partition functions with different backgrounds is determined by the ’t Hooft anomaly of G and fermion parity. For a general possibly non-abelian G we provide a method to determine the modular transformations directly from the bulk 3d invertible topological quantum field theory (iTQFT… 
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