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  • Letter
  • Open Access

Hidden conformal symmetry in AdS2×S2 beyond tree level

P. J. Heslop1, A. E. Lipstein1, and M. Santagata2

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Phys. Rev. D 110, L061902 – Published 18 September, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L061902

Abstract

Correlators of N=2 hypermultiplets with two-derivative interactions in AdS2×S2 exhibit a hidden four-dimensional conformal symmetry which allows one to repackage all tree-level four-point correlators into a single four-dimensional object corresponding to a contact diagram arising from a massless ϕ4 theory in AdS2×S2. This theory serves as a toy model for IIB string theory in AdS5×S5 and is interesting in its own right because AdS2×S2 describes the near-horizon limit of extremal black holes in four dimensions. We argue that, after acting with an SU(1,1)×SU(2) Casimir, all one-loop correlators can similarly be encoded by a four-dimensional function which arises from a one-loop scalar bubble diagram in AdS2×S2, explaining how the hidden conformal symmetry extends beyond tree level. Finally, we conjecture a scalar effective field theory with a two-derivative interaction in AdS2×S2 whose Witten diagrams should directly reproduce four-point correlators to all loops without acting with Casimirs.

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Phys. Rev. D 110, L061902– Published 18 September, 2024
  • Received 9 February 2024
  • Accepted 13 August 2024
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