# One point functions of fermionic operators in the Super Sine Gordon   model

**Authors:** C. Babenko, F. Smirnov

arXiv: 1905.09602 · 2019-09-04

## TL;DR

This paper investigates the integrable structure of local operators in the supersymmetric sine-Gordon model, proposing a fermionic construction and computing one-point functions that match reflection relation results in the UV limit.

## Contribution

It introduces a conjecture that the space of local operators is generated by fermions and a Kac-Moody current, and computes their one-point functions.

## Key findings

- One-point functions agree with reflection relation results in the UV limit
- Proposes a fermionic and Kac-Moody current-based structure for local operators
- Provides a new perspective on the operator space in supersymmetric integrable models

## Abstract

We describe the integrable structure of the space of local operators for the supersymmetric sine-Gordon model. Namely, we conjecture that this space is created by acting on the primary fields by fermions and a Kac-Moody current. We proceed with the computation of the one-point functions. In the UV limit they are shown to agree with the alternative results obtained by solving the reflection relations.

## Full text

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## References

23 references — full list in the complete paper: https://tomesphere.com/paper/1905.09602/full.md

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Source: https://tomesphere.com/paper/1905.09602