AdS$_3\times$S$^3$ magnons in the symmetric orbifold
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arXiv
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| Format: | Preprint |
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2024
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| author | Gaberdiel, Matthias R. Kempel, Dennis Nairz, Beat |
| author_facet | Gaberdiel, Matthias R. Kempel, Dennis Nairz, Beat |
| contents | The AdS$_3\times$S$^3$ excitations of string theory on AdS$_3\times$S$^3\times \mathbb{T}^4$ are identified with certain collective modes in the dual symmetric orbifold. Our identification follows from a careful study of the conformal eigenstates in the perturbed orbifold theory. We find that, in addition to the fractional torus modes (that correspond to the torus excitations in the dual AdS spacetime), there are `long' collective eigenmodes that involve a superposition of products of fractional torus modes, and that are in natural one-to-one correspondence with the expected AdS$_3\times$S$^3$ excitations. These collective modes are deformations of (fractional) $\mathcal{N}=4$ modes, to which they reduce for integer momentum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | AdS$_3\times$S$^3$ magnons in the symmetric orbifold Gaberdiel, Matthias R. Kempel, Dennis Nairz, Beat High Energy Physics - Theory The AdS$_3\times$S$^3$ excitations of string theory on AdS$_3\times$S$^3\times \mathbb{T}^4$ are identified with certain collective modes in the dual symmetric orbifold. Our identification follows from a careful study of the conformal eigenstates in the perturbed orbifold theory. We find that, in addition to the fractional torus modes (that correspond to the torus excitations in the dual AdS spacetime), there are `long' collective eigenmodes that involve a superposition of products of fractional torus modes, and that are in natural one-to-one correspondence with the expected AdS$_3\times$S$^3$ excitations. These collective modes are deformations of (fractional) $\mathcal{N}=4$ modes, to which they reduce for integer momentum. |
| title | AdS$_3\times$S$^3$ magnons in the symmetric orbifold |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.02741 |