BPS Indices, Modularity and Perturbations in Quantum K-theory
| Autor: | Hans Jockers, Peter Mayr, Urmi Ninad, Alexander Tabler |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Chern-Simons Theories Wilson FOS: Physical sciences QC770-798 Computer Science::Digital Libraries Mathematics - Algebraic Geometry High Energy Physics - Theory (hep-th) Nuclear and particle physics. Atomic energy. Radioactivity Supersymmetric Effective Theories ’t Hooft and Polyakov loops FOS: Mathematics Algebraic Geometry (math.AG) Sigma Models |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2022, Iss 2, Pp 1-65 (2022) |
| Popis: | We study a perturbation family of N=2 3d gauge theories and its relation to quantum K-theory. A 3d version of the Intriligator-Vafa formula is given for the quantum K-theory ring of Grassmannians. The 3d BPS half-index of the gauge theory is connected to the theory of bilateral hypergeometric q-series, and to modular q-characters of a class of conformal field theories in a certain massless limit. Turning on 3d Wilson lines at torsion points leads to mock modular behavior. Perturbed correlators in the IR regime are computed by determining the UV-IR map in the presence of deformations. 71 pages, v2:references added |
| Databáze: | OpenAIRE |
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