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We construct the four-derivative supersymmetric extension of $(1,0), 6D$ supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space…

High Energy Physics - Theory · Physics 2023-07-12 Hao-Yuan Chang , Ergin Sezgin , Yoshiaki Tanii

In this paper we give a new proof of the Quantum Unique Ergodicity conjecture for holomorphic integral weight modular forms on the upper half plane. The proof requires only partial results towards the Ramanujan conjecture and the shifted…

Number Theory · Mathematics 2021-12-21 Krishnarjun Krishnamoorthy

We investigate the interior of the moduli space of four-dimensional $\mathcal{N}=1$ theories of gravity arising from compactifications of the $E_8\times E_8$ heterotic string on Calabi-Yau threefolds. By studying the threshold corrections…

High Energy Physics - Theory · Physics 2024-12-02 Mirjam Cvetič , Max Wiesner

Classical linearized gravity admits a dual formulation in terms of a higher-rank tensor field. Proposing a prescription for the instanton sectors of linearized gravity and its dual, we show that they may be quantum inequivalent in even…

High Energy Physics - Theory · Physics 2025-08-28 Leron Borsten , Michael J. Duff , Dimitri Kanakaris , Hyungrok Kim

We compute the supersymmetric Renyi entropy across an entangling three-sphere for five-dimensional superconformal field theories using localization. For a class of USp(2N) gauge theories we construct a holographic dual 1/2 BPS black hole…

High Energy Physics - Theory · Physics 2015-06-23 Luis F. Alday , Paul Richmond , James Sparks

We obtain the bosonic Lagrangians of vector and hypermultiplets coupled to four-dimensional $\mathcal{N}=2$ supergravity in signatures $(0,4)$, $(1,3)$ and (2,2) by compactification of type-II string theories in signatures (0,10), (1,9) and…

High Energy Physics - Theory · Physics 2022-02-23 M. Medevielle , T. Mohaupt , G. Pope

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term…

High Energy Physics - Theory · Physics 2009-12-10 Changhyun Ahn

In the low-energy limit, M-theory compactified on S1/Z2 is formulated in terms of Bianchi identities with sources localized at orbifold singularities and anomaly-cancelling counterterms to the Wilson effective Lagrangian. Compactifying to…

High Energy Physics - Theory · Physics 2010-11-19 J. -P. Derendinger , R. Sauser

We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the $\mathbb Z$-graded subalgebras…

High Energy Physics - Theory · Physics 2017-04-10 José Figueroa-O'Farrill , Andrea Santi

As shown by Ho\v{r}ava and Witten, there are gravitational anomalies at the boundaries of $M^{10}\times S^1/Z_2$ of 11 dimensional supergravity. They showed that only 10 dimensional vector multiplets belonging to $E_8$ gauge group can be…

High Energy Physics - Theory · Physics 2009-10-30 F. Aldabe

In this paper, we present a systematic analysis of eleven-dimensional supergravity on a manifold with boundary, which is believed to be relevant to the strong coupling limit of the $E_8\times E_8$ heterotic string. Gauge and gravitational…

High Energy Physics - Theory · Physics 2010-04-07 Petr Horava , Edward Witten

We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an $S^8$ sphere. The theory captures the low-lying fluctuations around the non-conformal D0-brane near-horizon geometry, dual to operators in…

High Energy Physics - Theory · Physics 2025-06-03 Alfred Bovon , Henning Samtleben , Dimitrios Tsimpis

A class of abelian fibered Calabi-Yau threefolds X_{m,n} is shown yield SU(2) structure, in addition to the standard SU(3) holonomy. Compactification of type II string theory on a manifold in this class give a 4D effective supergravity…

High Energy Physics - Theory · Physics 2012-06-19 Michael B. Schulz

The holographic dictionary is well developed for gravity in asymptotically anti de Sitter $A(AdS_{d+1})$ spacetimes. However, this approach is limited, since many physically relevant configurations, such as bubbling geometries dual to heavy…

High Energy Physics - Theory · Physics 2025-12-16 Raquel Izquierdo García

In the framework of special Kahler geometry we consider the supergravity-matter system which emerges on a K3-fibered Calabi-Yau manifold. By applying the rigid limit procedure in the vicinity of a conifold singularity we compute the Kahler…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Cacciatori , Daniela Zanon

The SO(32) heterotic superstring on a Calabi-Yau manifold can spontaneously break supersymmetry at one-loop order even when it is unbroken at tree-level. It is known that calculating the supersymmetry-breaking effects in this model gives a…

High Energy Physics - Theory · Physics 2015-06-19 Nathan Berkovits , Edward Witten

Supersymmetric solutions of 11-dimensional supergravity can be classified according to the holonomy of the supercovariant derivative arising in the Killing spinor condition. It is shown that the holonomy must be contained in $\SL(32,\R)$.…

High Energy Physics - Theory · Physics 2007-05-23 Chris Hull

We give a twisted holomorphic superspace description for the super-Yang-Mills theory, using holomorphic and antiholomorphic decompositions of twisted spinors. We consider the case of the N=1 super-Yang-Mills theory in four dimensions. We…

High Energy Physics - Theory · Physics 2010-02-03 Laurent Baulieu , Alexis Martin

A new canonical Hopf algebra called the quantum pseudo-K\"ahler plane is introduced. This quantum group can be viewed as a deformation quantization of the complex two-dimensional plane $\mathbb{C}^2$ with a pseudo-K\"ahler metric, or as a…

Representation Theory · Mathematics 2023-07-06 Hyun Kyu Kim

On-shell Pauli-Villars regularization of the one-loop divergences of supergravity theories is used to study the anomaly structure of supergravity and the cancellation of field theory anomalies under a $U(1)$ gauge transformation and under…

High Energy Physics - Theory · Physics 2015-06-23 Daniel Butter , Mary K. Gaillard
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