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We continue the investigation of symmetries and anomalies of $T[M]$ theories obtained by compactifying 6d SCFTs on an internal manifold $M$. We extend the notion of "polarizations on a manifold $M$" to cases where $M$ may have boundaries or…

High Energy Physics - Theory · Physics 2026-03-03 Sergei Gukov , Po-Shen Hsin , Du Pei

We consider compactifications of ${\cal M}$-theory to four-dimensional Minkowski space on seven-dimensional non-compact manifolds. These compactifications include a warp factor which is non-constant due to the presence of sources coming…

High Energy Physics - Theory · Physics 2009-10-31 Katrin Becker , Melanie Becker

We consider the compactification of Matrix theory on tori with background antisymmetric tensor field. Douglas and Hull have recently discussed how noncommutative geometry appears on the tori. In this paper, we demonstrate the concrete…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

We describe how to calculate the amount of supersymmetry associated to a class of supergravity theories obtained by compactification on T-folds. We illustrate our discussion by calculating the degree of supersymmetry enjoyed by a particular…

High Energy Physics - Theory · Physics 2009-11-11 James Gray , Emily Hackett-Jones

Building on recent progress in the study of compactifications of $6d$ $(1,0)$ superconformal field theories (SCFTs) on Riemann surfaces to $4d$ $\mathcal{N}=1$ theories, we initiate a systematic study of compactifications of $5d$…

High Energy Physics - Theory · Physics 2021-10-11 Matteo Sacchi , Orr Sela , Gabi Zafrir

We propose a universal geometric formulation of gauged supergravity in terms of a twisted doubled torus. We focus on string theory (M-theory) reductions with generalized Scherk-Schwarz twists residing in the O(n,n) (E_{7(7)}) duality group.…

High Energy Physics - Theory · Physics 2008-11-26 Gianguido Dall'Agata , Nikolaos Prezas , Henning Samtleben , Mario Trigiante

We compactify four-dimensional N=1 gauged supergravity theories on a circle including fluxes for shift-symmetric scalars. Four-dimensional Taub-NUT gravitational instantons universally correct the three-dimensional superpotential in the…

High Energy Physics - Theory · Physics 2013-05-30 Thomas W. Grimm , Raffaele Savelli

Generalised geometry studies structures on a d-dimensional manifold with a metric and 2-form gauge field on which there is a natural action of the group SO(d,d). This is generalised to d-dimensional manifolds with a metric and 3-form gauge…

High Energy Physics - Theory · Physics 2009-01-30 C M Hull

We study the quantization of the M-theory G-flux on elliptically fibered Calabi-Yau fourfolds with singularities giving rise to unitary and symplectic gauge groups. We seek and find its relation to the Freed-Witten quantization of…

High Energy Physics - Theory · Physics 2015-06-04 Andres Collinucci , Raffaele Savelli

Compactifications of M-theory to two dimensional space-time on ${(K3\times \T^5)}/ \Z_2$ and ${(K3\times K3\times \S^1)}/ \Z_2$ orientifolds are presented. These orientifolds provide examples of anomaly free chiral supergravity models in…

High Energy Physics - Theory · Physics 2009-10-30 Alok Kumar , Koushik Ray

We discuss a novel strategy to construct 4D N=0 stable flux vacua of type II string theory, based on the existence of BPS bounds for probe D-branes in some of these backgrounds. In particular, we consider compactifications where D-branes…

High Energy Physics - Theory · Physics 2009-11-13 Dieter Lust , Fernando Marchesano , Luca Martucci , Dimitrios Tsimpis

We consider topological twists of four-dimensional $\mathcal{N}=2$ supersymmetric QCD with gauge group SU(2) and $N_f\leq 3$ fundamental hypermultiplets. The twists are labelled by a choice of background fluxes for the flavour group, which…

High Energy Physics - Theory · Physics 2023-12-21 Johannes Aspman , Elias Furrer , Jan Manschot

This note discusses the connection between generalised geometry and flux compactifications of string theory. Firstly, we explain in a pedestrian manner how the supersymmetry constraints of type II ${\mathcal{N}}=1$ flux compactifications…

High Energy Physics - Theory · Physics 2016-11-03 Magdalena Larfors

In this paper we study compactifications of ADE type conformal matter, N M5 branes probing ADE singularity, on torus with flux for global symmetry. We systematically construct the four dimensional theories by first going to five dimensions…

High Energy Physics - Theory · Physics 2018-10-17 Hee-Cheol Kim , Shlomo S. Razamat , Cumrun Vafa , Gabi Zafrir

In this thesis, we study moduli in compactifications of ten-dimensional heterotic supergravity. We consider supersymmetric compactifications to four-dimensional maximally symmetric space, commonly referred to as the Strominger system. The…

High Energy Physics - Theory · Physics 2015-12-28 Eirik Eik Svanes

We discuss compactifications of rank $Q$ E-string theory on a torus with fluxes for abelian subgroups of the $E_8$ global symmetry of the $6d$ SCFT. We argue that the theories corresponding to such tori are built from a simple model we…

High Energy Physics - Theory · Physics 2020-01-29 Sara Pasquetti , Shlomo S. Razamat , Matteo Sacchi , Gabi Zafrir

We study toroidal compactification of Matrix theory, using ideas and results of non-commutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification of these backgrounds, and argue that…

High Energy Physics - Theory · Physics 2010-11-19 Alain Connes , Michael R. Douglas , Albert Schwarz

In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give…

High Energy Physics - Theory · Physics 2015-11-05 Hagen Triendl

We review our present understanding of heterotic compactifications on non-Kahler complex manifolds with torsion. Most of these manifolds can be obtained by duality chasing a consistent F-theory compactification in the presence of fluxes. We…

High Energy Physics - Theory · Physics 2017-08-23 Melanie Becker , Keshav Dasgupta

We construct and analyse holographic duals to a class of four-dimensional N = 1 SU($N_c$) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to…

High Energy Physics - Theory · Physics 2025-08-28 Niall T. Macpherson , Paul Merrikin , Carlos Nunez , Ricardo Stuardo