# Next seminar

# Spindles, Toric Orbifolds and Holography

Alessio Fontanarossa

MAT/07 – Fisica Matematica

## Abstract

Since the AdS CFT has been proposed, several examples of this conjecture involving branes wrapped on smooth Riemann surfaces Σ appeared in literature. In all these constructions, the D=10, 11 supergravity solution has boundary of the schematic form AdSd+1 x MD-(d+1) and near-horizon geometry of the type AdSd+1-n x Σn x MD-(d+1), with M a compact manifold. After reducing the higher-dimensional theory on M, these solutions are interpreted as black branes living in AdSd+1 wrapped on Σ. In this setup, supersymmetry is always preserved by the so-called topological twist, for which (there is a coordinate system such that) the supersymmetry spinor is independent on the coordinates of Σ. The seminal work arXiv: 2011.10579 changed drastically the landscape, in that it was shown that it makes sense to wrap branes on orbifolds (specifically, the spindle). The output is that supersymmetry can be preserved in a total novel way, by the anti-twist (which is the orbifold version of the no-twist). From this paper, conspicuous efforts have been made to construct similar and even more involved solutions. Specifically, the d=1 case is of particular interest since the metric is expected to correspond to the near-horizon limit of supersymmetric black holes in string theory. In the first part of this seminar I will introduce the main characters of this game, devoting some time to the reasons for which black holes are central to the study of quantum gravity. Then, I will briefly focus on my actual research on spindles, with reference to arXiv:2210.16128 and arXiv:2402.08724.

27.03.2024, h. 16.30

Aula A (Palazzo Campana)

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