Korteweg–de Vries characters in large central charge CFTs

Brehm, Enrico M.; Das, Diptarka

doi:10.1103/PhysRevD.101.086025

Korteweg–de Vries characters in large central charge CFTs

Jan 29, 2019

16 pages

Published in:

Phys.Rev.D 101 (2020) 8, 086025

Published: Apr 28, 2020

e-Print:

1901.10354 [hep-th]

DOI:

10.1103/PhysRevD.101.086025

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Abstract: (APS)

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 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 gives us insights into possible transformation properties of the characters. We also comment on the full generalized Gibbs ensemble and approximations to pure states.

Note:

Two Mathematica notebooks attached, v3: Corrected a sign error, which allowed us to extend the large c analysis odd KdV charges, too. Additionally we have corrected a few typos, and added a few references

String theory, quantum gravity, gauge/gravity duality
field theory: conformal
dimension: 2
potential: chemical
symmetry: Virasoro
integrability
Korteweg-de Vries equation
sinh-Gordon equation

References(29)

Figures(0)

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