Francesco Benini

Scuola Internazionale Superiore di Studi Avanzati

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Sergio Benvenuti

Scuola Internazionale Superiore di Studi Avanzati

Christian Copetti

Scuola Internazionale Superiore di Studi Avanzati

Matteo Bertolini

Scuola Internazionale Superiore di Studi Avanzati

Stefano Cremonesi

Durham University

Yuji Tachikawa

The University of Tokyo

Alberto Zaffaroni

University of Milano-Bicocca

Cyril Closset

University of Birmingham

Riccardo Argurio

Université Libre de Bruxelles

Andrea Antinucci

Scuola Internazionale Superiore di Studi Avanzati

Paolo Milan

University of Milan

Cooperative Institutions

Scuola Internazionale Superiore di Studi Avanzati

Institute for Advanced Study

Istituto Nazionale di Fisica Nucleare, Sezione di Trieste

University of Trieste

Princeton University

Stony Brook University

Albert Einstein College of Medicine

Harvard University

Université Libre de Bruxelles

State University of New York

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Exact microstate counting for dyonic black holes in AdS4

Physics Letters B (2017)

Francesco Benini Kiril Hristov Alberto Zaffaroni

We present a counting of microstates of a class of dyonic BPS black holes in AdS$_4$ which precisely reproduces their Bekenstein-Hawking entropy. The counting is performed in the dual boundary description, that provides a non-perturbative definition of quantum gravity, in terms of a twisted and mass-deformed ABJM theory. We evaluate its twisted index and propose an extremization principle to extract the entropy, which reproduces the attractor mechanism in gauged supergravity.

Ministate

Black hole (networking)

Gauged supergravity

10.1016/j.physletb.2017.05.076

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Citations (143)

Exact Two-Dimensional SuperconformalRSymmetry andcExtremization

Physical Review Letters (2013)

Francesco Benini Nikolay Bobev

We uncover a general principle, dubbed c-extremization, which determines the exact R-symmetry of a two-dimensional unitary superconformal field theory with N=(0,2) supersymmetry. To illustrate its utility, we study superconformal theories obtained by twisted compactifications of four-dimensional N=4 super-Yang-Mills on Riemann surfaces, and construct their gravity duals.

Dual polyhedron

10.1103/physrevlett.110.061601

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Citations (159)

Elliptic Genera of 2d $${\mathcal{N}}$$ N = 2 Gauge Theories

Communications in Mathematical Physics (2014)

Francesco Benini Richard Eager Kentaro Hori Yuji Tachikawa

10.1007/s00220-014-2210-y

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Citations (259)

$$ \mathcal{N} $$ = 1 dualities in 2+1 dimensions

Journal of High Energy Physics (2018)

Francesco Benini Sergio Benvenuti

A bstract We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions. We propose an infrared SU( N ) ↔ U( k ) duality involving gauge-singlet fields on one of the two sides. It shares qualitative features both with 3 d bosonization and with 4 d Seiberg duality. We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the ε -expansion.

10.1007/jhep11(2018)197

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Citations (57)

Superconformal index of low-rank gauge theories via the Bethe Ansatz

Journal of High Energy Physics (2021)

Francesco Benini Giovanni Rizi

We study the Bethe Ansatz formula for the superconformal index, in the case of 4d $\mathcal{N}=4$ super-Yang-Mills with gauge group $SU(N)$. We observe that not all solutions to the Bethe Ansatz Equations (BAEs) contribute to the index, and thus formulate "reduced BAEs" such that all and only their solutions contribute. We then propose, sharpening a conjecture of Arabi Ardehali et al. [arXiv:1912.04169], that there is a one-to-one correspondence between branches of solutions to the reduced BAEs and vacua of the 4d $\mathcal{N}=1^*$ theory. We test the proposal in the case of $SU(2)$ and $SU(3)$. In the case of $SU(3)$, we confirm that there is a continuous family of solutions, whose contribution to the index is non-vanishing.

Bethe ansatz

Gauge group

Ansatz

Rank (graph theory)

Special unitary group

10.1007/jhep05(2021)061

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Gravity interpretation for the Bethe Ansatz expansion of the N=4 SYM index

Physical review. D/Physical review. D. (2021)

Ofer Aharony Francesco Benini Ohad Mamroud Paolo Milan

The superconformal index of the $\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On one hand, this index may be related to the Euclidean partition function of the theory on $S^3\times S^1$ with complex chemical potentials, which maps by the AdS/CFT correspondence to a sum over Euclidean gravity solutions. On the other hand, the index may be expressed as a sum over solutions to Bethe Ansatz Equations (BAEs). We show that the known solutions to the BAEs that have a good large $N$ limit, for the case of equal chemical potentials for the two angular momenta, have a one-to-one mapping to (complex) Euclidean black hole solutions on the gravity side. This mapping captures both the leading contribution from the classical gravity action (of order $N^2$), as well as non-perturbative corrections in $1/N$, which on the gravity side are related to wrapped D3-branes. Some of the BA solutions map to orbifolds of the standard Euclidean black hole solutions (that obey exactly the same boundary conditions as the other solutions). A priori there are many more gravitational solutions than Bethe Ansatz solutions, but we show that by considering the non-perturbative effects, the extra solutions are ruled out, leading to a precise match between the solutions on both sides.

Bethe ansatz

Ansatz

10.1103/physrevd.104.086026

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Citations (39)

On the Symmetry TFT of Yang-Mills-Chern-Simons theory

arXiv (Cornell University) (2024)

Riccardo Argurio Francesco Benini Matteo Bertolini Giovanni Galati Pierluigi Niro

Three-dimensional Yang-Mills-Chern-Simons theory has the peculiar property that its one-form symmetry defects have non-trivial braiding, namely they are charged under the same symmetry they generate, which is then anomalous. This poses a few puzzles in describing the corresponding Symmetry TFT in a four-dimensional bulk. First, the braiding between lines at the boundary seems to be ill-defined when such lines are pulled into the bulk. Second, the Symmetry TFT appears to be too trivial to allow for topological boundary conditions encoding all the different global variants. We show that both of these puzzles can be solved by including endable (tubular) surfaces in the class of bulk topological operators one has to consider. In this way, we are able to reproduce all global variants of the theory, with their symmetries and their anomalies. We check the validity of our proposal also against a top-down holographic realization of the same class of theories.

Chern–Simons theory

Realization (probability)

10.48550/arxiv.2404.06601

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Fixing moduli in exact Type IIA flux vacua

Fortschritte der Physik (2007)

Francesco Benini B. S. Acharya Roberto Valandro

Abstract Type IIA flux compactifications with O6‐planes have been argued from a four dimensional effective theory point of view to admit stable, moduli free solutions. We discuss in detail the ten dimensional description of such vacua and present exact supersymmetric solutions in the case when the O6‐charge is smoothly distributed: the geometry is Calabi‐Yau and the dilaton is constant. In the localized case, the solution is a half‐flat, non‐Calabi‐Yau metric but still with constant dilaton. Finally, using the ten dimensional description we show how all moduli are stabilized and reproduce precisely the results of de Wolfe et al. [arXiv:hep‐th/0505160]. This talk is based on [arXiv:hep‐th/0607223].

10.1002/prop.200610341

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Citations (8)

A quantum mechanics for magnetic horizons

Journal of High Energy Physics (2023)

Francesco Benini Saman Soltani Ziruo Zhang

A bstract We construct an $$ \mathcal{N} $$ N = 2 supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS 4 × S 6 , and Kaluza-Klein reducing on S 2 with a background that is dual to the asymptotics of static dyonic BPS black holes in AdS 4 . The background involves a choice of gauge fluxes, that we fix via a saddle-point analysis of the 3d topologically twisted index at large N . The ground-state degeneracy of the effective quantum mechanics reproduces the entropy of BPS black holes, and we expect its low-lying spectrum to contain information about near-extremal horizons. Interestingly, the model has a large number of statistically-distributed couplings, reminiscent of SYK models.

Saddle point

M-theory

Gauged supergravity

10.1007/jhep05(2023)070

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Citations (7)

Gauge/gravity duality and the interplay of various fractional branes

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology (2008)

Riccardo Argurio Francesco Benini Matteo Bertolini Cyril Closset Stefano Cremonesi

We consider different types of fractional branes on a ${\mathbb{Z}}_{2}$ orbifold of the conifold and analyze in detail the corresponding gauge/gravity duality. The gauge theory possesses a rich and varied dynamics, both in the UV and in the IR. We find the dual supergravity solution, which contains both untwisted and twisted 3-form fluxes, related to what are known as deformation and $\mathcal{N}=2$ fractional branes, respectively. We analyze the resulting renormalization group flow from the supergravity perspective, by developing an algorithm to easily extract it. We find hints of a generalization of the familiar cascade of Seiberg dualities due to a nontrivial interplay between the different types of fractional branes. We finally consider the IR behavior in several limits, where the dominant effective dynamics is either confining in a Coulomb phase or runaway, and discuss the resolution of singularities in the dual geometric background.

Conifold

Orbifold

Duality (order theory)

Seiberg duality

10.1103/physrevd.78.046008

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Citations (12)