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arXiv · 2107.00655

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

Nathan Benjamin·Christoph A. Keller·Ida G. Zadeh
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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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Nathan Benjamin, Christoph A. Keller, Ida G. Zadeh. 2021-07-01. Lifting 1/4-BPS States in $AdS_3\times S^3 \times T^4$. https://doi.org/10.1007/jhep10(2021)089

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