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Daniel Vainshtein

Publications and source records attributed to Daniel Vainshtein.

3 recordsLinked to original sources

Deformed BTZ Radiance and Single Trace $T\bar{T}$ Holography

We generalize the "holar wind" mechanism proposed in arXiv:2303.00234 to the case of rotating $\lambda$-deformed BTZ black holes. These backgrounds, which interpolate between $AdS_3$ in the infrared and a linear dilaton spacetime in the ultraviolet, are realized as an exact $\frac{SL(2,\mathbb{R})_k\times U(1)}{U(1)}$ gauged-WZW worldsheet theory. The long string sector of the theory provides a holographic dual to single-trace $T\overline{T}$ deformed symmetric product $\mathcal{M}^p/S_p$ $CFT_2$ with a seed $\mathcal{M}$ carrying a central charge $c=6k$. By analyzing the geodesics and tunneling rates of probe particles and winding long strings, we show that the emission probabilities for both positive and negative deformation couplings are universally governed by the change in the Bekenstein-Hawking entropy, $\Delta S_{BH}$. A central result of our analysis is that the consistency of long string emission within the grand canonical ensemble dictates a unique value for the background B-field at the origin. We demonstrate that this thermodynamically fixed value matches precisely the prediction required for the string excitation spectrum to agree with the $\mathbb{Z}_w$ twisted sector of a single-trace $T\overline{T}$ deformed symmetric product orbifold. Finally, we sketch the extension of these results to a broader class of black holes whose long string sector is dual to single-trace $T\overline{T} + J\overline{T} + T\overline{J}$ deformed theories.

hep-th

On String theory on deformed BTZ and $T\bar{T} + J\bar{T} + T\bar{J}$

Aspects of superstring theory on black-strings backgrounds, corresponding to deformed BTZ black holes, formed near $k$ NS5 branes by $p$ fundamental strings, and single-trace $T\bar T+J\bar T+T\bar J$ holography, are presented. It is shown that for a particular asymptotic value of the $B$-field, the excitation energy of a long string plus its contribution to the energy of the black hole is that in $T\bar T+J\bar T+T\bar J$ deformed $CFT_2$ with $c=6k$. The excitation energy of a winding $w>1$ long string plus its contribution to the background, a $w/p$ fraction of the black-hole energy, evolves according to that in a $Z_w$ twisted sector of a $p$-fold symmetric product of the latter.

hep-th

To $B$ or not to be in single-trace $T\bar T$ holography

Superstring theory on black-strings backgrounds, corresponding to deformed, rotating BTZ black holes, formed by $p$ fundamental strings or negative strings, is inspected. For non-rotating black strings, in the positive case, it was shown in [1] that the excitation energy of a probe long string, plus its contribution to the black-string background, is in harmony with single-trace $T\bar T$ holography, if the $B$-field vanishes at the origin. Here, we investigate the superstring on deformed, rotating BTZ black holes, for both the positive and negative cases, and find that for a particular value of the $B$-field, the harmony with single-trace $T\bar T$ holography persists.

hep-th