Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Form factors of descendant operators: Reduction to perturbed $M(2,2s+1)$
  models   In the framework of the algebraic approach to form factors in two-dimensional
integrable models of quantum field theory we consider the reduction of the
sine-Gordon model to the $\Phi_{13}$-perturbation of minimal conformal models
of the $M(2,2s+1)$ series. We find in an algebraic form the condition of
compatibility of local operators with the reduction. We propose a construction
that make it possible to obtain reduction compatible local operators in terms
of screening currents. As an application we obtain exact multiparticle form
factors for the compatible with the reduction conserved currents $T_{\pm2k}$,
$\Theta_{\pm(2k-2)}$, which correspond to the spin $\pm(2k-1)$ integrals of
motion, for any positive integer~$k$. Furthermore, we obtain all form factors
of the operators $T_{2k}T_{-2l}$, which generalize the famous $T\bar T$
operator. The construction is analytic in the $s$ parameter and, therefore,
makes sense in the sine-Gordon theory.

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The categories of this paper are: stat
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph