VOL. 83 | 2019 Notes on the Hemisphere
Kentaro Hori, Mauricio Romo

Editor(s) Kentaro Hori, Changzheng Li, Si Li, Kyoji Saito

Adv. Stud. Pure Math., 2019: 127-220 (2019) DOI: 10.2969/aspm/08310127

Abstract

In these notes, we provide an introduction to the hemisphere partition function of 2d $(2,2)$ supersymmetric gauge theories, and discuss its relation to the "D-brane central charge" which were studied in superstring theory, in 2d supersymmetric quantum field theory, and in topological string theory. We also discuss relation to "macroscopic loop" in matrix models. They are mostly reviews of the work by the authors, but contains some new results such as the partition function for a rotated supersymmetry as well as the differential equations.

Information

Published: 1 January 2019
First available in Project Euclid: 26 December 2019

zbMATH: 07276141

Digital Object Identifier: 10.2969/aspm/08310127

Subjects:
Primary: 81T60
Secondary: 14D05 , 14J33 , 14N35 , 18E30 , 32S40 , 53D37 , 53D45 , 81T13 , 81T30 , 81T40 , 81T45

Keywords: boundary conditions , D-brane central charge , flat structure , gauged linear sigma models , Gromov-Witten theory , primitive forms , supersymmetric localization , Supersymmetric quantum field theory

Rights: Copyright © 2019 Mathematical Society of Japan

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