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October 11, 2025Journal of High Energy Physics3 citationsOpen Access

On the string theory of a single NS5-brane

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ADAndrea DeiEMEmil J. Martinec

Key Points

  • The worldsheet theory for a single NS5-brane introduces a gauged Wess-Zumino-Witten model.
  • A variant of the theory interpolates between the fivebrane throat in the UV and adS 3 in the IR.
  • By incorporating a new constraint, challenges in worldsheet theory for n 5 = 1 fivebranes are resolved.
  • A connection is established between the supergroup formulation and conventional RNS worldsheet theory.

Abstract

A bstract We formulate a worldsheet description of string theory in the background of a single decoupled NS5-brane, which is a particularly simple example of “little string” holography. The worldsheet theory involves a gauged Wess-Zumino-Witten model for the group coset G/H, where G= PSU (1, 1|2) R^5, 1 and H=U (1) U (1). A variant of the embedding of H into G describes a background that interpolates between the fivebrane throat in the UV and AdS 3 in the IR, which is dual to the (single trace) TT -deformed symmetric product orbifold ({T^4) }^N/S₍. Well-known difficulties with a worldsheet theory for n 5 = 1 fivebranes are bypassed by the incorporation of an extra constraint on the dynamics. This constraint arises naturally from consideration of the effects of deforming the theory by one of the four Ramond-Ramond moduli of the spacetime background, which for n 5 = 1 imposes the constraint that our analysis has identified. Along the way, we construct a map between the supergroup formulation of the n 5 = 1 worldsheet theory and the more conventional RNS worldsheet formalism.

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Cite This Study

Dei et al. (2025) studied this question.

synapsesocial.com/papers/68e9b2e4ba7d64b6fc133146https://doi.org/10.1007/jhep10(2025)059
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