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We employ supersymmetric localization to determine the exact partition function of 3d $\mathcal{N}=2$ gauge theories on a background given by a round $S^2$ fibered over a circle and certain complexified background fields. The Coulomb branch…

High Energy Physics - Theory · Physics 2024-10-03 Jun Nian , Leopoldo A. Pando Zayas

The maximally supersymmetric Freund-Rubin vacua for eleven dimensional supergravity, namely $AdS_4 \times S^7$ and $AdS_7 \times S^4$, admit an analytic continuation to $S^4 \times S^7$. From the full harmonic expansions on $S^4 \times…

High Energy Physics - Theory · Physics 2020-03-04 Ergin Sezgin

We construct new classes of supersymmetric AdS$_2 \times {\Sigma}$ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with ${\Sigma}$ the complex weighted projective space known as a spindle. These solutions…

High Energy Physics - Theory · Physics 2023-10-31 Kiril Hristov , Minwoo Suh

Firstly, we study the state space of a massless particle on a supergroup with a reparameterization invariant action. After gauge fixing the reparameterization invariance, we compute the physical state space through the BRST cohomology and…

High Energy Physics - Theory · Physics 2011-07-13 Jan Troost

We study graviton scattering on $AdS_4\times S^7$, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d $U(N)_1\times U(N)_{-1}$ ABJM theory. We compute 1-loop corrections to this holographic…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester , Himanshu Raj

We investigate a new approach to holography in asymptotically AdS spacetimes, in which time rather than space is the emergent dimension. By making a sufficiently large T^2-deformation of a Euclidean CFT, we define a holographic theory that…

High Energy Physics - Theory · Physics 2023-03-22 Goncalo Araujo-Regado , Rifath Khan , Aron C. Wall

In this paper we describe an approach to construct semiclassical partition functions in gravity which are complete in the sense that they contain a complete description of the differentiable structures of the underlying 4-manifold. In…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Christopher L. Duston

We outline a holographic recipe to reconstruct $\alpha'$ corrections to AdS (quantum) gravity from an underlying CFT in the strictly planar limit ($N\rightarrow\infty$). Assuming that the boundary CFT can be solved in principle to all…

High Energy Physics - Theory · Physics 2017-11-01 Shubho R. Roy , Debajyoti Sarkar

We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Nakwoo Kim , Stathis Pakis , Daniel Waldram

The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With…

High Energy Physics - Theory · Physics 2019-03-27 Joseph P. Conlon , Fernando Quevedo

We consider supergravity in five-dimensional Anti-De Sitter space $AdS_{5}$ with minimal supersymmetry, encoded by a Sasaki-Einstein metric on a five-dimensional compact manifold $M$. Our main result reveals how the Sasaki-Einstein metric…

High Energy Physics - Theory · Physics 2020-08-28 Robert J. Berman , Tristan C. Collins , Daniel Persson

We use conformal supergravity techniques to study four-derivative corrections in four-dimensional gauged supergravity. We show that the four-derivative Lagrangian for the propagating degrees of freedom of the $\mathcal{N}=2$ gravity…

High Energy Physics - Theory · Physics 2023-02-22 Nikolay Bobev , Anthony M. Charles , Kiril Hristov , Valentin Reys

In a previous paper two of us (D.M. and A.Z.) proposed that a vast class of gravitational extremization problems in holography can be formulated in terms of the equivariant volume of the internal geometry, or of the cone over it. We…

High Energy Physics - Theory · Physics 2024-01-24 Edoardo Colombo , Federico Faedo , Dario Martelli , Alberto Zaffaroni

Exponential regularization of orthogonal and Anti-de Sitter (AdS) space is presented based on noncommutative geometry. We show that an adequately adopted noncommutative deformation of geometry makes the holography of higher dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang

Finding a concrete example holography in four dimensional asymptotically flat space is an important open problem. A natural strategy is to take the flat space limit of the celebrated AdS$_4$/CFT$_3$ correspondence, which relates M-theory in…

High Energy Physics - Theory · Physics 2025-06-18 Arthur Lipstein , Romain Ruzziconi , Akshay Yelleshpur Srikant

We study the behavior of holonomy spin foam partition functions, a form of lattice gauge gravity, on generic 4d-triangulations using micro local analysis. To do so we adapt tools from the renormalization theory of quantum field theory on…

General Relativity and Quantum Cosmology · Physics 2012-10-22 Frank Hellmann , Wojciech Kaminski

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)\ltimes \mathbf{T}^6$ gauge group. Depending on the values of the gauge coupling constants, the…

High Energy Physics - Theory · Physics 2015-12-24 Parinya Karndumri

We simplify and extend the construction of half-BPS solutions to 11-dimensional supergravity, with isometry superalgebra D(2,1;\gamma) \oplus D(2,1;\gamma). Their space-time has the form AdS_3 x S^3 x S^3 warped over a Riemann surface…

High Energy Physics - Theory · Physics 2015-06-18 Constantin Bachas , Eric D'Hoker , John Estes , Darya Krym

Certain difficulties of quantum gravity can be avoided if we embed the spacetime $V_4$ into a higher dimensional space $V_N$; then our spacetime is merely a 4-surface in $V_N$.What remains is conceptually not so difficult: just to quantise…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Matej Pavšič

We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the…

High Energy Physics - Theory · Physics 2018-08-01 Leonardo Rastelli , Xinan Zhou
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