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Scientific article
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English

Deforming symmetric product orbifolds: a tale of moduli and higher spin currents

Published inThe journal of high energy physics, vol. 2022, no. 8, 159
Publication date2022
First online date2022-08-17
Abstract

We analyze how deforming symmetric product orbifolds of two-dimensional $ \mathcal{N} $ = 2 conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. We find on the one hand that these currents are universally lifted regardless of the underlying CFT. On the other hand the details of the lifting are surprisingly non-universal, with dependence on the central charge of the underlying CFT and the specific marginal operator in use. In the context of the AdS/CFT correspondence, our results illustrate the mechanism by which the stringy spectrum turns into a supergravity spectrum when moving through the moduli space. They also provide further evidence that symmetric product orbifolds of $ \mathcal{N} $ = 2 minimal models are holographic.

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Keywords
  • AdS-CFT Correspondence
  • Conformal and W Symmetry
  • Higher Spin Sym- metry
  • Field theory: conformal
  • Spin: high
  • Operator: marginal
  • String: spectrum
  • Dimension: 2
  • Model: minimal
  • Orbifold
  • Moduli
  • Holography
  • Moduli space
  • Supergravity
  • AdS/CFT correspondence
  • Central charge
Citation (ISO format)
APOLO, Luis et al. Deforming symmetric product orbifolds: a tale of moduli and higher spin currents. In: The journal of high energy physics, 2022, vol. 2022, n° 8, p. 159. doi: 10.1007/jhep08(2022)159
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ISSN of the journal1029-8479
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