Lifting 1/4-BPS States in $AdS_3\times S^3 \times T^4$

Christoph A. Keller; Ida G. Zadeh; Nathan Benjamin

Lifting 1/4-BPS States in $AdS_3\times S^3 \times T^4$

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arxiv 2107.00655 v2 pith:DGF7MVRK submitted 2021-07-01 hep-th

Nathan Benjamin , Christoph A. Keller , Ida G. Zadeh This is my paper · ORCID

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keywords statestimesliftedorbifoldpointactuallyallowsapplication

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abstract

We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold Sym$^N(T^4)$ to all orders in $N$. This allows us to compute how 1/4-BPS states of the D1-D5 system on $AdS_3\times S^3\times T^4$ are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large $N$ limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space.

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Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
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