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5-brane configurations describing 5d field theories are promoted to an M theory description a la Witten in terms of polynomials in two complex variables. The coefficients of the polynomials are the Coulomb branch. This picture resolves…

High Energy Physics - Theory · Physics 2009-10-30 Barak Kol

We show how to cast an interacting system of M--branes into manifestly gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M--theory has a cohomologically nontrivial and noncommutative set of gauge…

High Energy Physics - Theory · Physics 2009-11-10 J. Kalkkinen , K. S. Stelle

A number of background independent quantizations procedures have recently been employed in 4d nonperturbative quantum gravity. We investigate and illustrate these techniques and their relation in the context of a simple 2d topological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Etera R. Livine , Alejandro Perez , Carlo Rovelli

We build two-dimensional quantum field theories on spin surfaces starting from theories on oriented surfaces with networks of topological defect lines and junctions. The construction uses a combinatorial description of the spin structure in…

High Energy Physics - Theory · Physics 2015-06-26 Sebastian Novak , Ingo Runkel

We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of G_2-holonomy. The solutions preserve 2 supercharges and are first constructed in D=7 gauged supergravity…

High Energy Physics - Theory · Physics 2009-10-31 Bobby S. Acharya , Jerome P. Gauntlett , Nakwoo Kim

We derive a scalar field theory of the deformed special relativity type, living on non-commutative kappa-Minkowski spacetime and with a kappa-deformed Poincare symmetry, from the SO(4,1) group field theory defining the transition amplitudes…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Florian Girelli , Etera R. Livine , Daniele Oriti

We discuss the superconformal quantum mechanics arising from the M2-branes. We begin with a comprehensive review on the superconformal quantum mechanics and emphasize that conformal symmetry and supersymmetry in quantum mechanics contain a…

High Energy Physics - Theory · Physics 2015-03-16 Tadashi Okazaki

We review developments in the theory of multiple, parallel membranes in M-theory. After discussing the inherent difficulties pertaining to a maximally supersymmetric lagrangian formulation with the appropriate field content and symmetries,…

High Energy Physics - Theory · Physics 2015-06-04 Jonathan Bagger , Neil Lambert , Sunil Mukhi , Constantinos Papageorgakis

Motivated by the description of $\mathcal{N}=1$ M-theory compactifications to four-dimensions given by Exceptional Generalized Geometry, we propose a way to geometrize the M-theory fluxes by appropriately relating the compactification space…

High Energy Physics - Theory · Physics 2015-04-07 Mariana Graña , C. S. Shahbazi

While M- and F-theory compactifications describe a much larger class of vacua than perturbative string compactifications, they typically need singularities to generate non-abelian gauge fields and charged matter. The physical explanation…

High Energy Physics - Theory · Physics 2023-10-10 R. Donagi , M. Wijnholt

In the context of spin foam models for quantum gravity, group field theories are a useful tool allowing on the one hand a non-perturbative formulation of the partition function and on the other hand admitting an interpretation as…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Etera R. Livine

Fermion fields on an M-theory five-brane carry a representation of the double cover of the structure group of the normal bundle. It is shown that, on an arbitrary oriented Lorentzian six-manifold, there is always an Sp(2) twist that allows…

High Energy Physics - Theory · Physics 2009-11-11 Jussi Kalkkinen

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

Group field theory is a background-independent approach to quantum gravity whose starting point is the definition of a quantum field theory on an auxiliary group manifold (not interpreted as spacetime, but rather as the finite-dimensional…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Steffen Gielen

Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D 88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of matter…

High Energy Physics - Theory · Physics 2015-03-12 Bin Guo , Yu-Xiao Liu , Ke Yang

We propose an explicit spin-foam amplitude for Lorentzian gravity in three dimensions, allowing for both space- and time-like boundaries. The model is based on two main requirements: that it should be structurally similar to its well-known…

General Relativity and Quantum Cosmology · Physics 2024-09-04 José Diogo Simão

We introduce a new class of non-compact backgrounds of Type IIB string theory preserving eight supercharges by combining S-folds and non-perturbative 7-branes wrapping orbifolds, and study the four-dimensional superconformal field theories…

High Energy Physics - Theory · Physics 2024-11-13 Simone Giacomelli , Raffaele Savelli , Gianluca Zoccarato

Using the covariant M5-brane action, we construct configurations corresponding to supertubes with three and four charges. We derive the BPS equations and study the full structure of the solutions. In particular, we find new solutions…

High Energy Physics - Theory · Physics 2009-11-11 Dongsu Bak , Kyungyu Kim , Nobuyoshi Ohta

Six-dimensional N=(1,0) superconformal field theories can be engineered geometrically via F-theory on elliptically-fibered Calabi-Yau 3-folds. We include torsional sections in the geometry, which lead to a finite Mordell-Weil group. This…

High Energy Physics - Theory · Physics 2020-12-02 Markus Dierigl , Paul-Konstantin Oehlmann , Fabian Ruehle

We study the noncommutative superspace of arbitrary dimensions in a systematic way. Superfield theories on a noncommutative superspace can be formulated in two folds, through the star product formalism and in terms of the supermatrices. We…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park