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We extend the computation of one-loop partition function in AdS$_{d+1}$ using the method in [arXiv:2201.09043] and [arXiv:2303.02711] for scalars and fermions to the case of $U(1)$ vectors. This method utilizes the eigenfunctions of the AdS…

High Energy Physics - Theory · Physics 2024-06-25 Astha Kakkar , Swarnendu Sarkar

We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its…

High Energy Physics - Theory · Physics 2024-11-01 Nihat Sadik Deger , Ceren Ayse Deral , Aritra Saha , Özgür Sarıoğlu

Via a challenging field-theory computation, we confirm a supergravity prediction for the non-supersymmetric D3-D7 probe-brane system with probe geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a certain…

High Energy Physics - Theory · Physics 2019-01-14 Aleix Gimenez Grau , Charlotte Kristjansen , Matthias Volk , Matthias Wilhelm

We derive a compact formula for the one-loop, bosonic string partition function of Euclideanized $J_3 \bar J_3$ deformed $AdS_3$ with periodic Euclidean time as an integral transform of the partition function of the undeformed Euclideanized…

High Energy Physics - Theory · Physics 2024-04-10 Soumangsu Chakraborty , Amit Giveon , Akikazu Hashimoto

We consider $\mathcal{N}=2$ supersymmetric pure gauge theories on toric K\"ahler manifolds, with particular emphasis on $\mathbb{CP}^2$. By choosing a vector generating a $U(1)$ action inside the torus of the manifold, we construct…

High Energy Physics - Theory · Physics 2014-12-16 Diego Rodriguez-Gomez , Johannes Schmude

Within the framework of (2,0) anti-de Sitter (AdS) supersymmetry in three dimensions, we propose a multiplet of higher-spin currents. Making use of this supercurrent, we construct two off-shell gauge formulations for a massless multiplet of…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko

We develop the spacetime aspects of the computation of partition functions for string/M-theory on AdS(3) xM. Subleading corrections to the semi-classical result are included systematically, laying the groundwork for comparison with CFT…

High Energy Physics - Theory · Physics 2010-10-27 Per Kraus , Finn Larsen

We perform a systematic analysis of soft supersymmetry breaking terms at the one loop level in a large class of string effective field theories. This includes the so-called anomaly mediated contributions. We illustrate our results for…

High Energy Physics - Phenomenology · Physics 2014-11-17 Pierre Binetruy , Mary K. Gaillard , Brent D. Nelson

Continuing the program initiated in arXiv:1304.1798 we investigate unitarity methods applied to two-dimensional integrable field theories. The one-loop computation is generalized to encompass theories with different masses in the asymptotic…

High Energy Physics - Theory · Physics 2015-06-19 Lorenzo Bianchi , Ben Hoare

The partition function of 3-dimensional quantum gravity has been argued to be 1-loop exact. Here, we verify the vanishing of higher-orders in perturbation theory by explicit computation in the second-order, metric formulation at 3-loops.…

High Energy Physics - Theory · Physics 2023-11-07 Mauricio Leston , Andrés Goya , Guillem Pérez-Nadal , Mario Passaglia , Gaston Giribet

Higher spin fields in four dimensions, and more generally conformal fields in arbitrary dimensions, can be described by spinning particle models with a gauged SO(N) extended supergravity on the worldline. We consider here the one-loop…

High Energy Physics - Theory · Physics 2010-10-27 Fiorenzo Bastianelli , Olindo Corradini , Emanuele Latini

The partition function of a three-dimensional $\mathcal{N} =2$ theory on the manifold $\mathcal{M}_{g,p}$, an $S^1$ bundle of degree $p$ over a closed Riemann surface $\Sigma_g$, was recently computed via supersymmetric localization. In…

High Energy Physics - Theory · Physics 2018-10-03 Chiara Toldo , Brian Willett

We reconsider the one loop divergence of ${\cal N}=8$ supergravity in four dimensions. We compute the finite effective potential of ${\cal N}=8$ anti-deSitter supergravity and interpret it as logarithmic running of the cosmological…

High Energy Physics - Theory · Physics 2016-02-17 Finn Larsen , Pedro Lisbao

We compute the quantum gravity partition function of M-theory on $AdS_4 \times X_7 $ by using localization techniques in four-dimensional gauged supergravity obtained by a consistent truncation on the Sasaki-Einstein manifold $X_{7}$. The…

High Energy Physics - Theory · Physics 2015-06-19 Atish Dabholkar , Nadav Drukker , Joao Gomes

We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro…

High Energy Physics - Theory · Physics 2025-05-21 Christian Ferko , Sameer Murthy , Mukund Rangamani

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

We study the large $N$ expansion of twisted partition functions of 3d $\mathcal{N}=2$ superconformal field theories arising from $N$ M5-branes wrapped on a hyperbolic 3-manifold, $M_3$. Via the 3d-3d correspondence, the partition functions…

High Energy Physics - Theory · Physics 2020-07-20 Dongmin Gang , Nakwoo Kim , Leopoldo A. Pando Zayas

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration…

High Energy Physics - Theory · Physics 2020-08-05 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

In this talk we will study the partial breaking of supersymmetry in flat and anti de Sitter space. We will see that partial breaking in flat space can be accomplished using either of two representations for the massive N=1 spin-3/2…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan A. Bagger , Richard Altendorfer

We consider the simplest four-point scattering amplitude of $SO(n)$ tensor multiplets in six-dimensional (2,0) supergravity on AdS$_3\times$S$^3$. Using crossing symmetry and the consistency of the operator product expansion in the dual…

High Energy Physics - Theory · Physics 2026-02-13 Francesco Aprile , Hynek Paul , Michele Santagata