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Large-c superconformal torus blocks

  • Konstantin Alkalaev
  • Vladimir Belavin
Open Access
Regular Article - Theoretical Physics

Abstract

We study large-c SCFT2 on a torus specializing to one-point superblocks in the \( \mathcal{N} \) = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other. We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks. It is shown that the resulting differential equations are the Heun equations. We study exponentiated global superblocks arising at large conformal dimensions and demonstrate that in the leading approximation the osp(1|2) superblocks are equal to the non-supersymmetric sl(2) block.

Keywords

Conformal and W Symmetry Conformal Field Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteMoscowRussia
  2. 2.Department of General and Applied PhysicsMoscow Institute of Physics and TechnologyDolgoprudnyiRussia
  3. 3.Department of Quantum PhysicsInstitute for Information Transmission ProblemsMoscowRussia
  4. 4.Department of Particle Physics and AstrophysicsWeizmann Institute of ScienceRehovotIsrael

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