Interfaces and Quantum Algebras, II: Cigar Partition Function

Mykola Dedushenko; Nikita Nekrasov

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arXiv · 2306.16434

Interfaces and Quantum Algebras, II: Cigar Partition Function

Mykola Dedushenko·Nikita Nekrasov

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Abstract

The supersymmetric cigar (half-)index or cigar partition function of 3d $\mathcal{N}=2$ gauge theories contains a wealth of information. Physically, it captures the spectrum of BPS states, the non-perturbative corrections to various partition functions, the effective twisted superpotential and the data of supersymmetric vacua. Mathematically, it defines the K-theoretic Vertex counting vortices/quasimaps, and connects to quantum K-theory, as well as elliptic cohomology and stable envelopes. We explore these topics from the physics standpoint, systematically developing the foundations and explaining various mathematical properties using the quantum field theory machinery.

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Mykola Dedushenko, Nikita Nekrasov. 2023-06-28. Interfaces and Quantum Algebras, II: Cigar Partition Function. https://arxiv.org/abs/2306.16434

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