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Using the tool of Hodge-Morrey decomposition of forms, we prove a new decomposition of symmetric rank-2 tensors on Ricci flat manifolds with boundary. Using this we reconstruct a new cosmological perturbation theory that allows for the…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Emine Şeyma Kutluk

We briefly review the description of the internal sector of supergravity theories in the language of generalised geometry and how this gives rise to a description of supersymmetric backgrounds as integrable geometric structures. We then…

High Energy Physics - Theory · Physics 2021-07-28 Charles Strickland-Constable

We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by…

High Energy Physics - Theory · Physics 2008-11-26 R. D'Auria , S. Ferrara , M. Trigiante

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 four- and five-dimensional effective actions of Calabi-Yau threefold compactifications are derived with a focus on terms involving up to four space-time derivatives. The starting points for these reductions are the ten- and…

High Energy Physics - Theory · Physics 2018-04-04 Thomas W. Grimm , Kilian Mayer , Matthias Weissenbacher

In this paper, the classical and quantum theory of $\mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical analysis of the supergravity Holst action as…

General Relativity and Quantum Cosmology · Physics 2021-02-22 Konstantin Eder , Hanno Sahlmann

We discuss a new covariant scalar-tensor system aimed to realise Ho\v{r}ava proposal for a power-counting renormalizable theory of gravity, with the special feature of not propagating scalar degrees of freedom in an appropriate gauge. The…

High Energy Physics - Theory · Physics 2019-02-28 Javier Chagoya , Gianmassimo Tasinato

We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of K\"ahler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami…

Differential Geometry · Mathematics 2014-02-18 Kefeng Liu , Sheng Rao , Xiaokui Yang

Type IIB supergravity can be consistently truncated to the metric and the self-dual 5-form. We obtain the complete non-linear Kaluza-Klein S^5 reduction Ansatz for this theory, giving rise to gravity coupled to the fifteen Yang-Mills gauge…

High Energy Physics - Theory · Physics 2008-11-26 M. Cvetic , H. Lu , C. N. Pope , A. Sadrzadeh , T. A. Tran

We present a simple mechanism to eliminate cosmological constants both in supersymmetric and non-supersymmetric theories. This mechanism is based on the Hodge (Poincare) duality between a 0-form and D-form field strengths in D-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Hitoshi Nishino , Subhash Rajpoot

We study localization of gravity in flat space in superstring theory. We find that an induced Einstein-Hilbert term can be generated only in four dimensions, when the bulk is a non-compact Calabi-Yau threefold with non-vanishing Euler…

High Energy Physics - Theory · Physics 2014-11-18 Ignatios Antoniadis , Ruben Minasian , Pierre Vanhove

We explore the holographic proposal involving spacetimes with linear dilaton asymptotics in three dimensions from a gravity perspective. The holographic dual shares some properties with a symmetric product conformal field theory deformed by…

High Energy Physics - Theory · Physics 2023-07-05 Chih-Kai Chang , Christian Ferko , Savdeep Sethi

We perform a Kaluza-Klein reduction of IIB supergravity including purely gravitational $\alpha '^3$-corrections on a Calabi-Yau threefold, and perform the orientifold projection accounting for the presence of $O3/O7$-planes. We consider…

High Energy Physics - Theory · Physics 2017-05-24 Matthias Weissenbacher

We study supersymmetric and super Poincar\'e invariant deformations of ten-dimensional super Yang-Mills theory and of its dimensional reductions. We describe all infinitesimal super Poincar\'e invariant deformations of equations of motion…

High Energy Physics - Theory · Physics 2015-05-14 M. Movshev , A. Schwarz

We construct consistent Kaluza--Klein reductions of D=11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal…

High Energy Physics - Theory · Physics 2009-05-01 Jerome P. Gauntlett , Seok Kim , Oscar Varela , Daniel Waldram

We propose a new method to solve the Killing spinor equations of eleven-dimensional supergravity based on a description of spinors in terms of forms and on the Spin(1,10) gauge symmetry of the supercovariant derivative. We give the…

High Energy Physics - Theory · Physics 2009-10-09 Joe Gillard , Ulf Gran , George Papadopoulos

The generalisation of the rigid special geometry of the vector multiplet quantum moduli space to the case of supergravity is discussed through the notion of a dynamical Calabi--Yau threefold. Duality symmetries of this manifold are…

High Energy Physics - Theory · Physics 2009-10-28 A. Ceresole , M. Billo' , R. D'Auria , S. Ferrara , P. Fre' , T. Regge , P. Soriani , A. Van Proeyen

This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early…

High Energy Physics - Theory · Physics 2016-07-26 Edward Witten

The effective action in four dimensions resulting from the ten-dimensional N=1 heterotic supergravity coupled to N=1 supersymmetric Yang-Mills upon dimensional reduction over nearly-Kaehler manifolds is discussed. Nearly-Kaehler manifolds…

High Energy Physics - Theory · Physics 2014-11-20 Athanasios Chatzistavrakidis , George Zoupanos

The restrictions of target--space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in $N=2, D=4$ heterotic string compactifications. A crucial…

High Energy Physics - Theory · Physics 2009-10-07 Bernard de Wit , Gabriel Lopes Cardoso , Dieter Lüst , Thomas Mohaupt , Soo-Jong Rey