A bstract We analyze how deforming symmetric product orbifolds of twodimensional $$ \mathcal{N} $$ 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 nonuniversal, 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 $$ \mathcal{N} $$ N = 2 minimal models are holographic.
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The spectrum of marginallydeformed $$ \mathcal{N} $$ = 2 CFTs with AdS4 Sfold duals of type IIB
A bstract A holographic duality was recently established between an $$ \mathcal{N} $$ N = 4 nongeometric AdS 4 solution of type IIB supergravity in the socalled Sfold class, and a three dimensional conformal field theory (CFT) defined as a limit of $$ \mathcal{N} $$ N = 4 superYangMills at an interface. Using gauged supergravity, the $$ \mathcal{N} $$ N = 2 conformal manifold (CM) of this CFT has been assessed to be twodimensional. Here, we holographically characterise the large N operator spectrum of the marginallydeformed CFT. We do this by, firstly, providing the algebraic structure of the complete KaluzaKlein (KK) spectrum on the associated twoparameter family of AdS4 solutions. And, secondly, by computing the $$ \mathcal{N} $$ N = 2 supermultiplet dimensions at the first few KK levels on a lattice in the CM, using new exceptional field theory techniques. Our KK analysis also allows us to establish that, at least at large N , this $$ \mathcal{N} $$ N = 2 CM is topologically a noncompact cylindrical Riemann surface bounded on only one side.
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 Award ID(s):
 2014163
 NSFPAR ID:
 10351628
 Date Published:
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2021
 Issue:
 12
 ISSN:
 10298479
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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