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Algebraic structures on the moduli spaces in gauge theories

In: Physical and Mathematical Aspects of Symmetries

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  • Vasily Pestun

    (Institut des Hautes Études Scientifiques)

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.

Suggested Citation

  • Vasily Pestun, 2017. "Algebraic structures on the moduli spaces in gauge theories," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 41-50, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_6
    DOI: 10.1007/978-3-319-69164-0_6
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