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In any dimension, the positive level generators of the very-extended Kac-Moody algebra $E_{11}$ with completely antisymmetric spacetime indices are associated to the form fields of the corresponding maximal supergravity. We consider the…

High Energy Physics - Theory · Physics 2011-03-31 Fabio Riccioni

((1+1)-dimensional ${\cal N}=1$ super-symmetric field theory and (3+1)-dimensional ${\cal N}=2$ super-symmetric gauge theory are discussed in a, more or less, unified way, designed to identify the quantum BPS states in both systems.…

High Energy Physics - Theory · Physics 2016-02-29 Juan Mateos Guilarte

We present a framework to systematically investigate higher categorical symmetries in two-dimensional spin systems. Though exotic, such generalised symmetries have been shown to naturally arise as dual symmetries upon gauging invertible…

High Energy Physics - Theory · Physics 2024-04-24 Clement Delcamp , Apoorv Tiwari

The gauge symmetries that underlie string theory arise from inner automorphisms of the algebra of observables of the associated conformal field theory. In this way it is possible to study broken and unbroken symmetries on the same footing,…

High Energy Physics - Theory · Physics 2015-06-26 Mark Evans , Ioannis Giannakis

The low-energy effective theories describing string compactifications in the presence of fluxes are so-called gauged supergravities: deformations of the standard abelian supergravity theories. The deformation parameters can be identified…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben

Field theories with p-form gauge potentials can possess ``hidden'' symmetries leaving the field strengths invariant on-shell without being gauge symmetries on-shell. The relevance of such symmetries to supersymmetric models is discussed.…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt

In an ungauged supergravity theory, the presence of a \emph{scalar potential} is allowed only for the minimal $\N=1$ case. In extended supergravities, a non-trivial scalar potential can be introduced without explicitly breaking…

High Energy Physics - Theory · Physics 2018-10-15 Antonio Gallerati , Mario Trigiante

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

We present a generalised geometry framework for systematically constructing consistent truncations of ten- and eleven-dimensional supergravity preserving varying fractions of supersymmetry. Truncations arise when there is a reduced…

High Energy Physics - Theory · Physics 2020-01-08 Davide Cassani , Gregoire Josse , Michela Petrini , Daniel Waldram

We develop a systematic framework for understanding symmetries in topological phases in 2+1 dimensions using the string-net model, encompassing both gauge symmetries that preserve anyon species and global symmetries permuting anyon species,…

Strongly Correlated Electrons · Physics 2025-12-01 Yu Zhao , Yidun Wan

We describe topological gauge theories for which duality properties are encoded by construction. We study them for compact manifolds of dimensions four, eight and two. The fields and their duals are treated symmetrically, within the context…

High Energy Physics - Theory · Physics 2009-10-31 L Baulieu , S. L. Shatashvili

A large class of symmetries of topological quantum field theories is naturally described by functors into higher categories of topological defects. Here we study 2-group symmetries of 3-dimensional TQFTs. We explain that these symmetries…

Quantum Algebra · Mathematics 2026-05-20 Nils Carqueville , Benjamin Haake

The analysis of the extremal structure of the scalar potentials of gauged maximally extended supergravity models in five, four, and three dimensions, and hence the determination of possible vacuum states of these models is a computationally…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Fischbacher

We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the…

High Energy Physics - Theory · Physics 2022-10-05 Pietro Fré , Alfredo Giambrone , Daniele Ruggeri , Mario Trigiante , Petr Vaško

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)\ltimes \mathbf{T}^6$ gauge group. Depending on the values of the gauge coupling constants, the…

High Energy Physics - Theory · Physics 2015-12-24 Parinya Karndumri

Supersymmetric models with extended group structure beyond the standard model are revisited in the framework of general gauge mediation. Sum rules for sfermion masses are shown to depend genuinely on the group structure, which can serve as…

High Energy Physics - Phenomenology · Physics 2015-02-12 Mingxing Luo , Sibo Zheng

Within the context of top-down holography, we study a one-parameter family of regular background solutions of maximal gauged supergravity in seven dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional confining field…

High Energy Physics - Theory · Physics 2022-03-30 Daniel Elander , Maurizio Piai

The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges. The…

High Energy Physics - Theory · Physics 2012-10-25 M. P. Garcia del Moral , J. M. Pena , A. Restuccia

We describe higher-dimensional theories whose low-energy 4D descriptions contain larger gauge or global symmetry groups. As an example, we construct a Higgsless SU(2) x U(1) model of electroweak symmetry breaking. The 5D SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christopher D. Carone , Joshua Erlich , Marc Sher

We show that the half-maximal SU(2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives…

High Energy Physics - Theory · Physics 2009-11-11 E. Bergshoeff , D. C. Jong , E. Sezgin