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We address problems associated with compactification near and on the light front. In perturbative scalar field theory we illustrate and clarify the relationships among three approaches: (1) quantization on a space-like surface close to a…

High Energy Physics - Theory · Physics 2009-10-31 A. Harindranath , L. Martinovic , J. P. Vary

We establish the relation between the structure governing supersymmetric and non-supersymmetric four- and five-dimensional black holes and multicenter solutions and Calabi-Yau flux compactifications of M-theory and type IIB string theory.…

High Energy Physics - Theory · Physics 2015-06-05 Iosif Bena , Hagen Triendl , Bert Vercnocke

In this paper we present three new families of smooth Type II string theory backgrounds. These are dual to supersymmetry-preserving deformations of 4d SCFTs. The deformations include a VEV for a global current and a `twisted…

High Energy Physics - Theory · Physics 2024-07-30 Dimitrios Chatzis , Ali Fatemiabhari , Carlos Nunez , Peter Weck

We give a short overview over recent work on finding constraints on partition functions of 2d CFTs from modular invariance. We summarize the constraints on the spectrum and their connection to Calabi-Yau compactifications.

High Energy Physics - Theory · Physics 2013-12-30 Christoph A. Keller

We consider Scherk-Schwarz compactifications of M-theory (toroidal compactifications with a non-trivial spin structure) in various dimensions and find isolated critical points of the potential on the moduli space. We demonstrate this by…

High Energy Physics - Theory · Physics 2026-05-19 Zihni Kaan Baykara , Shi Chen , Cumrun Vafa

We propose Type IIB 5-brane configurations that engineer the 6d $\mathcal{N}=(1,0)$ SCFTs with $SO(N)$ gauge symmetry coupled to a single tensor multiplet on a circle, by considering RG flows on Higgs branches of $D$-type conformal matter…

High Energy Physics - Theory · Physics 2020-10-28 Hee-Cheol Kim , Sung-Soo Kim , Kimyeong Lee

By analyzing the decategorification of bordered sutured Heegaard Floer homology, we reinterpret and generalize the classical Frohman-Nicas TQFT for the Alexander polynomial in the setting of 3d sutured cobordisms between sutured surfaces.…

Geometric Topology · Mathematics 2026-02-17 Andrew Manion , Elijah Rutter

In this talk we report on recent progress in describing compactifications of string theory and M-theory on G_2 and Spin(7) manifolds. We include the infinite set of alpha'-corrections and describe the entire tower of massless and massive…

High Energy Physics - Theory · Physics 2015-10-28 Katrin Becker , Melanie Becker , Daniel Robbins

We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Sadov

In this paper, we introduce and study the concepts of semi open SOM) and semi closed (SCM) M-sets in multiset topological spaces.With this generalization of the notions of open and closed sets in M-topology, we generalize the concept of…

General Mathematics · Mathematics 2014-11-24 J. Mahanta , D. Das

We study reductions of 6d theories on a $d$-dimensional manifold $M_d$, focusing on the interplay between symmetries, anomalies, and dynamics of the resulting $(6-d)$-dimensional theory $T[M_d]$. We refine and generalize the notion of…

High Energy Physics - Theory · Physics 2021-08-09 Sergei Gukov , Po-Shen Hsin , Du Pei

In this paper we study the compactification conditions of the M theory on D-dimensional noncommutative tori. The main tool used for this analysis is the algebra A(Z^D) of the projective representations of the abelian group Z^D. We exhibit…

High Energy Physics - Theory · Physics 2009-10-31 R. Casalbuoni

We consider F-theory and M-theory compactifications on singular Calabi-Yau fourfolds with an SU(5) singularity. On the M-theory side this realizes three-dimensional N=2 supersymmetric gauge theories with matter, and compactification on a…

High Energy Physics - Theory · Physics 2015-06-15 Hirotaka Hayashi , Craig Lawrie , Sakura Schafer-Nameki

We study equivariant projective compactifications of reductive groups obtained by closing the image of a group in the space of operators of a projective representation. We describe the structure and the mutual position of their orbits under…

Algebraic Geometry · Mathematics 2015-06-26 Dmitri A. Timashev

We investigate compactifications of M-theory from $11\to 5\to 4$ dimensions and discuss geometrical properties of 4-d moduli fields related to the structure of 5-d theory. We study supersymmetry breaking by compactification of the fifth…

High Energy Physics - Theory · Physics 2014-11-18 E. Dudas , C. Grojean

M(atrix) theory description is investigated for M-theory compactified on non-orientable manifolds. Relevant M(atrix) theory is obtained by Fourier transformation in a way consistent with T-duality. For nine-dimensional compactification on…

High Energy Physics - Theory · Physics 2007-05-23 N. Kim , Soo-Jong Rey

Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), together with the higher-categorical structure of 6D N =(2,0) SCFTs, we prove that the total quantum dimension of the relative gaugeable algebra…

High Energy Physics - Theory · Physics 2025-10-29 Veronica Pasquarella

We study M(atrix) theory description of M theory compactified on T5/Z2 orbifold. In the large volume limit we show that M theory dynamics is described by N=8 supersymmetric USp(2N) M(atrix) quantum mechanics. Via zero-brane parton…

High Energy Physics - Theory · Physics 2009-10-30 N. Kim , Soo-Jong Rey

The mathematical features of a string theory compactification determine the physics of the effective four-dimensional theory. For this reason, understanding the mathematical structure of the possible compactification spaces is of profound…

High Energy Physics - Theory · Physics 2018-11-01 Aaron Kennon

Deformation theory of complex manifolds is a classical subject with recent new advances in the noncompact case using both algebraic and analytic methods. In this note, we recall some concepts of the existing theory and introduce new notions…

Algebraic Geometry · Mathematics 2021-01-12 Edoardo Ballico , Elizabeth Gasparim , Francisco Rubilar
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