Abstract
The partition function of a four-dimensional supersymmetric gauge theory on a four-sphere is factorizable in holomorphic and antiholomorphic blocks similar to the correlation functions of the two-dimensional conformal field theories. The holomorphic blocks are controlled by the geometry of the moduli spaces of vacua in 4d supersymmetric gauge theory, and this reveals a deep connection with algebraic structures of quantum integrable systems, two-dimensional conformal field theories and their q-deformations.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Pestun, V. (2017). Algebraic structures on the moduli spaces in gauge theories. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-69164-0_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69163-3
Online ISBN: 978-3-319-69164-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)