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We consider the topological and geometric structures associated with cohomological and homological objects in M-theory. For the latter, we have M2-branes and M5-branes, the analysis of which requires the underlying spacetime to admit a…

Differential Geometry · Mathematics 2010-10-19 Hisham Sati

We show that charge-quantization of the M-theory C-field in J-twisted Cohomotopy implies emergence of a higher Sp(1)-gauge field on single heterotic M5-branes, which exhibits worldvolume twisted String structure.

High Energy Physics - Theory · Physics 2021-04-13 Domenico Fiorenza , Hisham Sati , Urs Schreiber

We study M5-branes wrapped on a multi-centred Taub-NUT space. Reducing to String Theory on the circle fibration leads to D4-branes intersecting with D6-branes. D-braneology shows that there are additional charged chiral fermions from the…

High Energy Physics - Theory · Physics 2018-05-09 Neil Lambert , Miles Owen

The effective action for five-dimensional heterotic M-theory in the presence of five-branes is systematically derived from Horava-Witten theory coupled to an M5-brane world-volume theory. This leads to a five-dimensional N=1 gauged…

High Energy Physics - Theory · Physics 2009-11-07 Matthias Brandle , Andre Lukas

We study the central charges of the supersymmetry algebra of branes in backgrounds corresponding to wrapped M5-branes. In the case of M5-branes wrapping a holomorphic 2-cycle in two complex-dimensional space, we find this allows for a…

High Energy Physics - Theory · Physics 2009-11-11 José Sánchez Loureda , Douglas J. Smith

We show how the topological string partition function, which is known to capture the degeneracies of a gas of BPS spinning M2-branes in M-theory compactified to 5 dimensions, is related to a 4-dimensional D-brane system that consists of…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Cumrun Vafa , Erik Verlinde

We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 4D, N=1 M-theory and the 3D Type II superstring. The worldvolume (5-brane) theory is that of a single 6D gauge 2-form $X_{MN}(\sigma^P)$ whose…

High Energy Physics - Theory · Physics 2015-02-03 William D Linch , Warren Siegel

We propose a simple form for the superalgebra of M2 and M5-brane probes in arbitrary supersymmetric backgrounds of 11D supergravity, extending previous results in the literature. In particular, we identify the topological charges in the…

High Energy Physics - Theory · Physics 2009-11-10 Emily J. Hackett-Jones , David C. Page , Douglas J. Smith

We study the 6d N=(0,2) superconformal field theory, which describes multiple M5-branes, on the product space S^2 x M_4, and suggest a correspondence between a 2d N=(0,2) half-twisted gauge theory on S^2 and a topological sigma-model on the…

High Energy Physics - Theory · Physics 2016-10-12 Benjamin Assel , Sakura Schafer-Nameki , Jin-Mann Wong

The actions, anomalies, and quantization conditions allow the M2-brane and the M5-brane to support, in a natural way, structures beyond Spin on their worldvolumes. The main examples are twisted String structures. This also extends to…

High Energy Physics - Theory · Physics 2011-10-18 Hisham Sati

In the presence of a D-brane a string theory develops a new subsector. We show that for curved D-branes the corresponding sector is a (partially twisted) topological field theory. We use this result to compute the degeneracy of 2-branes…

High Energy Physics - Theory · Physics 2009-10-28 M. Bershadsky , V. Sadov , C. Vafa

In this informal review for non-specalists we discuss the construction of maximally supersymmetric gauge theories that arise on the worldvolumes branes in String Theory and M-Theory. Particular focus is made on the relatively recent…

High Energy Physics - Theory · Physics 2015-06-04 Neil Lambert

Using a recently constructed M5-brane world-volume action, we demonstrate that wrapping the M5-brane on K3 gives the heterotic string in seven dimensions. To facilitate the comparison, a new version of the world-sheet action for the…

High Energy Physics - Theory · Physics 2009-02-11 Sergey Cherkis , John H. Schwarz

We classify rank zero 5d SCFTs geometrically engineered from M-theory on quasi-homogeneous compound Du Val isolated threefold singularities. For all such theories, we characterize the Higgs Branch, by computing the dimension, the continuous…

High Energy Physics - Theory · Physics 2023-05-08 Mario De Marco , Andrea Sangiovanni , Roberto Valandro

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we…

High Energy Physics - Theory · Physics 2021-04-28 Nikolay Bobev , Anthony M. Charles , Dongmin Gang , Kiril Hristov , Valentin Reys

We review how core structures of string/M-theory emerge as higher structures in super homotopy theory; namely from systematic analysis of the brane bouquet of universal invariant higher central extensions growing out of the superpoint.…

High Energy Physics - Theory · Physics 2019-06-04 Domenico Fiorenza , Hisham Sati , Urs Schreiber

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 5D, N=1 M-theory and the 4D type II superstring. This theory is a complexification of the fundamental 5-brane theory that embeds the 4D, N=1…

High Energy Physics - Theory · Physics 2015-03-04 William D. Linch , Warren Siegel

We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds. In this construction,…

High Energy Physics - Theory · Physics 2020-12-30 Gil Young Cho , Dongmin Gang , Hee-Cheol Kim

We study the worldvolume supersymmetric gauge theory of M-branes probing backgrounds corresponding to wrapped M5-branes. In the case of M5-branes wrapping a 2-cycle in two-dimensional complex space, we use M2-brane probes to compute the BPS…

High Energy Physics - Theory · Physics 2010-02-03 José Sánchez Loureda , Douglas J. Smith
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