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Gauge theories form the foundation of the Standard Model of particle physics. These theories can exhibit confinement, where charged particles only occur in bound states, connected by flux strings whose energy grows linearly with separation.…

We review and develop the general properties of $L_\infty$ algebras focusing on the gauge structure of the associated field theories. Motivated by the $L_\infty$ homotopy Lie algebra of closed string field theory and the work of Roytenberg…

高能物理 - 理论 · 物理学 2017-04-26 Olaf Hohm , Barton Zwiebach

The gauge/gravity duality conjecture claims the equivalence between gauge theory and superstring/M-theory. In particular, the one-dimensional gauge theory of D0-branes and type IIA string theory should agree on properties of hot black…

高能物理 - 理论 · 物理学 2016-06-17 Evan Berkowitz , Enrico Rinaldi , Masanori Hanada , Goro Ishiki , Shinji Shimasaki , Pavlos Vranas

A clear separation of the time scales governing the dynamics of "slow" and "fast" degrees of freedom often serves as a prerequisite for the emergence of an independent low-energy theory. Here, we consider (slow) classical spins exchange…

介观与纳米尺度物理 · 物理学 2022-09-30 Nicolas Lenzing , Alexander I. Lichtenstein , Michael Potthoff

The presence of non-Abelian discrete gauge symmetries in four-dimensional F-theory compactifications is investigated. Such symmetries are shown to arise from seven-brane configurations in genuine F-theory settings without a weak string…

高能物理 - 理论 · 物理学 2016-03-23 Thomas W. Grimm , Tom G. Pugh , Diego Regalado

We show that the ${\cal N}=1$ supergravity theories in ten dimensions with gauge groups $U(1)^{496}$ and $E_8 \times U(1)^{248}$ are not consistent quantum theories. Cancellation of anomalies cannot be made compatible with supersymmetry and…

高能物理 - 理论 · 物理学 2014-10-30 Allan Adams , Oliver DeWolfe , Washington Taylor

In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the…

高能物理 - 理论 · 物理学 2009-10-22 Xenia C. de la Ossa , Fernando Quevedo

F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their…

高能物理 - 理论 · 物理学 2015-05-28 Thomas W. Grimm , Max Kerstan , Eran Palti , Timo Weigand

We propose a general notion of algebraic gauge theory obtained via extracting the main properties of classical gauge theory. Building on a recent work on transferring curved $A_{\infty}$-structures we show that, under certain technical…

数学物理 · 物理学 2017-03-20 Svetoslav Zahariev

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

高能物理 - 理论 · 物理学 2009-11-07 Grigorii B. Pivovarov , James P. Vary

The topological properties of field configurations in gauge theory contain important data about the (generalized) global symmetries of the theory as well as potential inconsistencies in the form of gauge anomalies. In this work we modify…

高能物理 - 理论 · 物理学 2026-04-03 Markus Dierigl , Ruben Minasian , Dušan Novičić

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

高能物理 - 理论 · 物理学 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

We review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite-dimensional) Lie algebra $\frak{g}$ and a choice of representation…

高能物理 - 理论 · 物理学 2021-07-28 Olaf Hohm , Henning Samtleben

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

高能物理 - 理论 · 物理学 2008-12-19 Anders K. H. Bengtsson

We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal $SO(8)$ gauged supergravities, and of an analogous family of seven-dimensional half-maximal $SO(4)$ gauged supergravities.…

高能物理 - 理论 · 物理学 2015-06-12 Kanghoon Lee , Charles Strickland-Constable , Daniel Waldram

We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no globally defined ("geometric") T-duals…

代数拓扑 · 数学 2022-02-25 Thomas Nikolaus , Konrad Waldorf

In the context of gauge/gravity duality, we try to understand better the proposed duality between the fractional D2-brane supergravity solutions of (Nucl. Phys. B 606 (2001) 18, hep-th/0101096) and a confining 2+1 dimensional gauge theory.…

高能物理 - 理论 · 物理学 2009-11-07 Christopher P. Herzog

Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples…

高能物理 - 理论 · 物理学 2010-05-28 Steven B. Giddings , Shamit Kachru , Joseph Polchinski

It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The…

高能物理 - 理论 · 物理学 2009-10-22 Sudhakar Panda , Shibaji Roy

We extend the construction of lattice chiral gauge theories based on non-perturbative gauge fixing to the non-abelian case. A key ingredient is that fermion doublers can be avoided at a novel type of critical point which is only accessible…

高能物理 - 格点 · 物理学 2009-11-10 Maarten Golterman , Yigal Shamir