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For every positively curved Kahler-Einstein manifold in four dimensions we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of AdS_3 with a compact seven-dimensional…

High Energy Physics - Theory · Physics 2009-09-29 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna , Toni Mateos , Daniel Waldram

We explicitly construct and classify all Jordanian solutions of the classical Yang-Baxter equation on $\mathfrak{psu}(2,2|4)$, corresponding to Jordanian Yang-Baxter deformations of the $AdS_5\times S^5$ superstring. Such deformations…

High Energy Physics - Theory · Physics 2023-06-14 Riccardo Borsato , Sibylle Driezen

The Stenzel space fourfold is a non-compact Calabi-Yau which is a higher dimensional analogue of the deformed conifold. We consider N = (1,1) type IIA, N = 1 M-theory and N = (2,0) type IIB compactifications on this Stenzel space, thus…

High Energy Physics - Theory · Physics 2016-01-05 Daniël Prins

We construct Bridgeland stability conditions on the the following hyper-K\"ahler or strict Calabi--Yau manifolds: - Generalized Kummer varieties associated to an abelian surface that is isogenous to a product of elliptic curves. - Universal…

Algebraic Geometry · Mathematics 2025-10-28 Yiran Cheng

This manuscript from August 1995 (revised February 1996) studies the Kaehler cone of Calabi-Yau threefolds via symplectic methods. For instance, it is shown that if two Calabi-Yau threefolds are general in complex moduli and are symplectic…

alg-geom · Mathematics 2016-08-30 P. M. H. Wilson

We construct two commuting N=2 structures on the space of sections of the chiral de Rham complex (CDR) of a Calabi-Yau manifold. We use this extra supersymmetry to construct a non-linear automorphism of CDR preserving these N=2 structures.…

Quantum Algebra · Mathematics 2008-06-06 Reimundo Heluani

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

High Energy Physics - Theory · Physics 2008-12-19 Anders K. H. Bengtsson

We study general linear perturbations of a class of 4d real-dimensional hyperkahler manifolds obtainable by the (generalized) Legendre transform method. Using twistor methods, we show that deformations can be encoded in a set of holomorphic…

High Energy Physics - Theory · Physics 2009-03-12 Sergei Alexandrov , Boris Pioline , Frank Saueressig , Stefan Vandoren

We discuss supersymmetry breaking in the field-theoretical limit of the strongly-coupled heterotic string compactified on a Calabi-Yau manifold, from the different perspectives of four and five dimensions. The former applies to light…

High Energy Physics - Theory · Physics 2008-11-26 John Ellis , Zygmunt Lalak , Stefan Pokorski , Steven Thomas

We consider $d=3$, $\mathcal{N}=2$ gauge theories arising on membranes sitting at the apex of an arbitrary toric Calabi-Yau 4-fold cone singularity that are then further compactified on a Riemann surface, $\Sigma_g$, with a topological…

High Energy Physics - Theory · Physics 2019-06-28 Jerome P. Gauntlett , Dario Martelli , James Sparks

Candidate counterterms break E7 type U-duality symmetry of $N \geq 5$ supergravity theories in four dimensions \cite{Kallosh:2011dp}. A proposal was made in \cite{Bossard:2011ij} to restore it, starting with a double set of vector fields…

High Energy Physics - Theory · Physics 2019-10-02 Murat Gunaydin , Renata Kallosh

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to…

High Energy Physics - Theory · Physics 2016-09-16 Sibasish Banerjee

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

High Energy Physics - Theory · Physics 2021-10-28 Kevin Costello , Brian R. Williams

We study solvable deformations of two-dimensional quantum field theories driven by a bilinear operator constructed from a pair of conserved $U(1)$ currents $J^a$. We propose a quantum formulation of these deformations, based on the gauging…

High Energy Physics - Theory · Physics 2023-06-14 Sergei Dubovsky , Stefano Negro , Massimo Porrati

We study two phases of a heterotic standard model, obtained from a Calabi-Yau compactification of the E8xE8 heterotic string, in the context of the associated four-dimensional effective theories. In the first phase we have a standard model…

High Energy Physics - Theory · Physics 2015-07-22 Evgeny I. Buchbinder , Andrei Constantin , Andre Lukas

Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper,…

High Energy Physics - Theory · Physics 2018-12-27 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

In this report, we present a concise review on the various moduli stabilisation schemes proposed in the context of type IIB superstring compactifications using Calabi-Yau orientifolds. We discuss the details of the known schemes by…

High Energy Physics - Theory · Physics 2023-11-21 George K. Leontaris , Pramod Shukla

We construct non-K\"ahler Calabi-Yau manifolds of dimension $\ge$ 4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have K3 fibrations over smooth projective varieties and their algebraic…

Algebraic Geometry · Mathematics 2021-11-09 Taro Sano

We systematically construct a class of two-dimensional $(2,2)$ supersymmetric gauged linear sigma models with phases in which a continuous subgroup of the gauge group is totally unbroken. We study some of their properties by employing a…

High Energy Physics - Theory · Physics 2015-06-17 Kentaro Hori , Johanna Knapp

The moduli spaces of Calabi--Yau (CY) manifolds are the special K\"ahler manifolds. The special K\"ahler geometry determines the low-energy effective theory which arises in Superstring theory after the compactification on a CY manifold. For…

High Energy Physics - Theory · Physics 2018-08-17 Alexander Belavin