

Aula 500

Seminar
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Since the proposal of the AdS/CFT correspondence, several examples of this conjecture involving branes wrapped on smooth Riemann surfaces $\Sigma$ have appeared in the literature. In all these constructions, the $D=10,11$ supergravity solutions exhibit a boundary of the schematic form $\AdS_{d+1}\times M_{D(d+1)}$ and a nearhorizon geometry of the type $\AdS_{d+1n}\times \Sigma_n\times M_{D(d+1)}$, where $M$ is a compact manifold. After reducing the higherdimensional theory on $M$, these solutions are interpreted as black branes in $\AdS_{d+1}$ wrapped on $\Sigma$. In this setup, supersymmetry is preserved via the socalled topological twist, which ensures that the supersymmetry spinor is independent of the coordinates on $\Sigma$.
A pivotal shift occurred with the work arXiv:2011.10579, which showed that branes could also be wrapped on orbifolds (specifically, the spindle). This breakthrough revealed that supersymmetry can be preserved in a completely novel way through the antitwist, an orbifold generalization of the notwist. Following this, significant efforts have been devoted to constructing similar and even more intricate solutions. Of particular interest is the case $d=1$, as the resulting metric is expected to correspond to the nearhorizon limit of supersymmetric black holes in string theory.