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  On KdV characters in large c CFTs

Brehm, E. M., & Das, D. (in preparation). On KdV characters in large c CFTs.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-EE40-A Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EE43-7
Genre: Paper

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1901.10354.pdf (Preprint), 695KB
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 Creators:
Brehm, Enrico M.1, Author              
Das, Diptarka1, Author              
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech
 Abstract: Two-dimensional conformal field theories with just Virasoro symmetry are endowed with integrable structure. We review how to construct the integrable charges in a two-dimensional conformal field theory and how to relate them to the charges of quantum Sinh-Gordon theory when c>25. We then explicitly calculate the single charge characters in the large c limit for all even charges and thereby reveal how their degeneracies grow within one module. This, in particular, allows us to approximate the characters in the limit of small chemical potential, which source the respective charges. The latter give us insights into possible transformation properties of the characters. We also comment on the full generalized Gibbs ensemble and approximations to pure states.

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 Dates: 2019-01-29
 Publication Status: Not specified
 Pages: Two Mathematica notebooks attached
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1901.10354
URI: http://arxiv.org/abs/1901.10354
 Degree: -

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