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Odd Wilson surfaces

Olga Chekeres, Vladimir Salnikov

Abstract

Previously, Wilson surface observables were interpreted as a class of Poisson sigma models. We profit from this construction to define and study the super version of Wilson surfaces. We provide some `proof of concept' examples to illustrate modifications resulting from appearance of odd degrees of freedom in the target.

Odd Wilson surfaces

Abstract

Previously, Wilson surface observables were interpreted as a class of Poisson sigma models. We profit from this construction to define and study the super version of Wilson surfaces. We provide some `proof of concept' examples to illustrate modifications resulting from appearance of odd degrees of freedom in the target.
Paper Structure (14 sections, 43 equations)

This paper contains 14 sections, 43 equations.

Table of Contents

  1. Introduction
  2. From Wilson loops to PSM
  3. Wilson line and surface definitions
  4. Wilson surface as a Poisson sigma model
  5. Supersymmetrized Wilson surface observable
  6. Towards the definition.
  7. Super WS action functional
  8. Examples and interpretation
  9. "Twisted" SU(2)
  10. Extension of SU(2) by its odd algebra
  11. Coadjoint orbits of OSp(1$|$2)
  12. Canonical quantization of WS -- example
  13. Geometry of coadjoint orbits
  14. Recap from super geometry

Theorems & Definitions (13)

  • Remark 1
  • Remark 2
  • Remark 3
  • Remark 4
  • Example 1
  • Remark 5
  • Remark 6
  • Remark 7
  • Remark 8
  • Remark 9
  • ...and 3 more