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We give an elementary proof of the following property of unitary, interacting four-dimensional $\mathcal{N}=2$ superconformal field theories: at large central charge $c$, there exist at least $\sqrt{c}$ single-trace, scalar superconformal…

High Energy Physics - Theory · Physics 2024-03-01 Eric Perlmutter

We study holomorphic foliations of codimension $k\geq 1$ on a complex manifold $X$ of dimension $n+k$ from the point of view of the exceptional minimal set conjecture. For $n\geq 2$ we show in particular that if the holomorphic normal…

Complex Variables · Mathematics 2021-07-07 Judith Brinkschulte

We classify orbifold geometries which can be interpreted as moduli spaces of four-dimensional $\mathcal{N}\geq 3$ superconformal field theories up to rank 2 (complex dimension 6). The large majority of the geometries we find correspond to…

High Energy Physics - Theory · Physics 2020-12-09 Philip C. Argyres , Antoine Bourget , Mario Martone

Microstrata are the non-extremal analogues of superstrata: they are smooth, non-extremal (non-BPS) solitonic solutions to IIB supergravity whose deep-throat limits approximate black holes. Using perturbation theory and numerical methods, we…

High Energy Physics - Theory · Physics 2023-10-11 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo , Nicholas P. Warner

By using the approach introduced in arXiv:2107.09677 we construct non-BPS solutions of 6D $(1,0)$ supergravity coupled to two tensor multiplets as a perturbation of AdS$_3\times S^3$. These solutions are both regular and asymptotically…

High Energy Physics - Theory · Physics 2022-03-15 Bogdan Ganchev , Stefano Giusto , Anthony Houppe , Rodolfo Russo

Known examples of the holographic dictionary in asymptotically Anti-de Sitter spacetimes equate moduli spaces of bulk vacua with conformal manifolds in the dual quantum field theory. We demonstrate that the same identification holds for…

High Energy Physics - Theory · Physics 2023-03-15 Daniel Kapec , Y. T. Albert Law , Sruthi A. Narayanan

We study the emergence of $q$-deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a $q$-deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose…

High Energy Physics - Theory · Physics 2025-07-21 Andreas Belaey , Thomas G. Mertens , Jacopo Papalini

We show that a compact Kahler manifold admitting a nondegenerate holomorphic 2-form valued in a line bundle is a finite cyclic cover of a hyperkahler manifold. With respect to the connection induced by the locally hyperkahler metric, the…

Differential Geometry · Mathematics 2018-05-16 Nicolina Istrati

The class of 2d minimal model CFTs with higher spin AdS3 duals is extended to theories with large N=4 superconformal symmetry. We construct a higher spin theory based on the global D(2,1|alpha) superalgebra, and propose a large N family of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias R. Gaberdiel , Rajesh Gopakumar

In this paper, we propose a new gravity dual for a $2$d BCFT with two conformal boundaries by introducing a defect that connects the two End-of-the-World branes. We demonstrate that the BCFT dual to this bulk model exhibits a richer lowest…

High Energy Physics - Theory · Physics 2022-12-01 Masamichi Miyaji , Chitraang Murdia

In this paper we address the general problem of including inflationary models exhibiting Starobinsky-like potentials into (symmetric) $\mathcal{N}=2$ supergravities. This is done by gauging suitable abelian isometries of the hypermultiplet…

High Energy Physics - Theory · Physics 2016-01-20 P. Fré , A. S. Sorin , M. Trigiante

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

High Energy Physics - Theory · Physics 2018-01-30 Stefan Prohazka , Max Riegler

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

High Energy Physics - Theory · Physics 2024-04-29 Machiko Fukada , Akihiro Miyata

We construct and study the supersymmetry properties of the weighted projective spaces $\mathbb{WCP}^2$ and $\mathbb{WCP}^3$. These are topologically $\mathbb{CP}^n$ with $n+1$ orbifold singularities and as such are higher dimensional…

High Energy Physics - Theory · Physics 2025-12-02 Andrea Conti , Niall T. Macpherson

We study the celestial CFT dual to theories with bulk supersymmetry. The boundary theory realizes supersymmetry in the spirit of the Green-Schwarz superstring: there is manifest 4d super-Poincar\'e symmetry, but no 2d superconformal…

High Energy Physics - Theory · Physics 2025-07-16 Adam Tropper

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal…

High Energy Physics - Theory · Physics 2024-12-10 Andrea Antinucci , Francesco Benini , Giovanni Rizi

We find new supersymmetric backgrounds of ${\cal N} = 8$ gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on $S^3$. The deformations encode the most general choice of $U(1)_R$ symmetry used to…

High Energy Physics - Theory · Physics 2015-06-15 Daniel Z. Freedman , Silviu S. Pufu

We propose a class of N=2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kahler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kahler potentials and Ricci-flat metrics for these…

High Energy Physics - Theory · Physics 2007-05-23 Kiyoshi Higashijima , Tetsuji Kimura , Muneto Nitta

I discuss recent supergravity constructions of type IIB holographic interfaces in four-dimensional ${\cal N}=1$ and ${\cal N}=4$ field theories. I explain how each holographic interface can be compactified on a circle with an SL$(2,{\bf…

High Energy Physics - Theory · Physics 2020-05-13 Fridrik Freyr Gautason

We study a bottom-up, holographic description of a field theory yielding the spontaneous breaking of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six-dimensional gravity dual has regular geometry. One of…

High Energy Physics - Theory · Physics 2023-06-28 Daniel Elander , Ali Fatemiabhari , Maurizio Piai