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In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge…

High Energy Physics - Theory · Physics 2015-05-18 John C. Baez , John Huerta

A key open problem in M-theory is the mechanism of "gauge enhancement", which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the…

High Energy Physics - Theory · Physics 2019-05-24 Vincent Braunack-Mayer , Hisham Sati , Urs Schreiber

We test the proposals for the worldvolume theory of M2-branes by studying its maximally supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed theory on N M2-branes: that there should be a set of discrete…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Gomis , Diego Rodriguez-Gomez , Mark Van Raamsdonk , Herman Verlinde

We study two aspects of M5-branes in N=6 U(N)xU(N) Chern-Simons gauge theory. We first examine multiple M2-branes ending on a M5-brane. We study Basu-Harvey type cubic equations, fuzzy funnel configurations, and derive the M5-brane tension…

High Energy Physics - Theory · Physics 2008-11-26 Kentaro Hanaki , Hai Lin

We describe a duality relation between configurations of M5-branes in M-theory and type IIB theory on Taub-NUT geometries with NSNS and RR 3-form field strength fluxes. The flux parameters are controlled by the angles between the M5-brane…

High Energy Physics - Theory · Physics 2009-11-10 Juan F. G. Cascales , Angel M. Uranga

We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of arXiv:0807.0808, this gives rise to a three-dimensional N=2 Chern-Simons-matter theory with exceptional gauge group G_2…

High Energy Physics - Theory · Physics 2008-12-03 Masahito Yamazaki

This thesis is based on two papers by the author and consists of two parts. We review the recent developments in the theory of multiple M2-branes and 3-algebras leading to multiple D2-brane theories. The inclusion of flux terms for the…

High Energy Physics - Theory · Physics 2012-06-29 Gurdeep S. Sehmbi

We reinterpret the generalised Lie derivative of M-theory $E_6$ generalised geometry as hamiltonian flow on a graded symplectic supermanifold. The hamiltonian acts as the nilpotent derivative of the tensor hierarchy of exceptional field…

High Energy Physics - Theory · Physics 2019-07-26 Alex S. Arvanitakis

I categorify the definition of fibre bundle, replacing smooth manifolds with differentiable categories, Lie groups with coherent Lie 2-groups, and bundles with a suitable notion of 2-bundle. To link this with previous work, I show that…

Category Theory · Mathematics 2007-05-23 Toby Bartels

We consider four dimensional ${\cal N}=1$ supersymmetric gauge theories obtained via orientifolds of Type IIB on Abelian C^3/G orbifolds. We construct all such theories that have well defined world-sheet expansion. The number of such…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

We perform a general reduction of an M5-brane on a spacetime that admits a null Killing vector, including couplings to background 4-form fluxes and possible twisting of the normal bundle. We give the non-abelian extension of this action and…

High Energy Physics - Theory · Physics 2020-12-30 Neil Lambert , Tristan Orchard

We construct supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap general supersymmetric cycles. The solutions are constructed in maximal D=7 gauged supergravity and then uplifted to D=11. Our…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Nakwoo Kim , Daniel Waldram

M-theory is known to possess supersymmetric solutions where the geometry is $\mathrm{AdS}_3\times S^3\times S^3$ warped over a Riemann surface $\Sigma_{2}$. The simplest examples in this class can be engineered by placing M2 and M5 branes…

High Energy Physics - Theory · Physics 2021-02-24 Giuseppe Dibitetto , Nicolò Petri

We establish a brane-brane duality connecting T-branes to collections of ordinary D-branes. T-branes are intrinsically non-Abelian brane configurations with worldvolume flux, whereas their duals consist of Abelian brane systems that encode…

High Energy Physics - Theory · Physics 2020-01-08 Iosif Bena , Johan Blåbäck , Raffaele Savelli , Gianluca Zoccarato

The field theories on the surface of non-supersymmetric D-brane constructions are identified. By moving to M-theory a semi-classical, strong coupling expansion to the IR non-supersymmetric gauge dynamics is obtained. The solution is…

High Energy Physics - Theory · Physics 2007-05-23 Nick Evans

We construct vacua of M-theory on S^1/Z_2 associated with Calabi-Yau three-folds. These vacua are appropriate for compactification to N=1 supersymmetry theories in both four and five dimensions. We allow for general E_8 x E_8 gauge bundles…

High Energy Physics - Theory · Physics 2016-08-25 Andre Lukas , Burt A. Ovrut , Daniel Waldram

In this paper, we study the equations of motion for non-Abelian N=(2,0) tensor multiplets in six dimensions, which were recently proposed by Lambert and Papageorgakis. Some equations are regarded as constraint equations. We employ a loop…

High Energy Physics - Theory · Physics 2015-05-27 Shoichi Kawamoto , Tomohisa Takimi , Dan Tomino

We review in a pedagogical manner some of the efforts aiming to extend the gauge/gravity correspondence to non-conformal supersymmetric gauge theories in four dimensions. After giving a general overview, we discuss in detail two specific…

High Energy Physics - Theory · Physics 2008-11-26 M. Bertolini

New forms of Born-Infeld, D-brane and M theory five-brane actions are found which are quadratic in the abelian field strength. The gauge fields couple both to a background or induced metric and a new auxiliary metric, whose elimination…

High Energy Physics - Theory · Physics 2009-10-31 M. Abou Zeid , C. M. Hull

We present a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric higher gauge theory in which self-duality is consistently implemented by physically trivial additional fields. The action contains both $\mathcal{N}=(1,0)$ tensor and vector…

High Energy Physics - Theory · Physics 2021-06-09 Dominik Rist , Christian Saemann , Miro van der Worp