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We construct an infinite system of non-linear duality equations, including fermions, that are invariant under global E11 and gauge invariant under generalised diffeomorphisms upon the imposition of a suitable section constraint. We use…

High Energy Physics - Theory · Physics 2021-03-26 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

In this article, we present a fermionic extension of the scalar Born-Infeld equation, which has been derived from the Nambu-Goto superstring action in (2+1) dimensions through the Cartesian parameterization. It is demonstrated that in the…

Mathematical Physics · Physics 2008-11-26 A. J. Hariton

The fundamental concepts of Riemannian geometry, such as differential forms, vielbein, metric, connection, torsion and curvature, are generalized in the context of non-commutative geometry. This allows us to construct the…

High Energy Physics - Theory · Physics 2009-11-07 Nguyen Ai Viet , Kameshwar C. Wali

We consider brane configurations in M-theory describing N=1 supersymmetric gauge theories and using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge…

High Energy Physics - Theory · Physics 2010-02-05 Soonkeon Nam , Kyungho Oh , Sang-Jin Sin

Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component…

High Energy Physics - Theory · Physics 2017-08-23 Yuichi Hoshino

The fake supergravity method is applied to 5-dimensional asymptotically AdS spacetimes containing gravity coupled to a real scalar and an abelian gauge field. The motivation is to obtain bulk solutions with R x S^3 symmetry in order to…

High Energy Physics - Theory · Physics 2009-10-08 Henriette Elvang , Daniel Z. Freedman , Hong Liu

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

A new, adiabatic phase choice is adopted for the overlap in the case of an infinite volume, noncompact abelian chiral gauge theory. This gauge choice obeys the same symmetries as the Brillouin-Wigner (BW) phase choice, and, in addition,…

High Energy Physics - Lattice · Physics 2009-10-31 Herbert Neuberger

Wigner's unitary representation of the Lorentz group is extended to a representation of the complex orthosymplectic Lie super group OSp_C(1|2) acting on Minkowski (3,1|4)-dimensional super space essentially by Hermitean conjugation. The…

Geometric Topology · Mathematics 2023-04-18 Robert Penner

The recent construction of the non-semisimple gaugings of maximal D=5 supergravity is reported here. This construction is worked out in the so-called rheonomic approach, based on Free Differential Algebras and the solution of their Bianchi…

High Energy Physics - Theory · Physics 2015-06-25 Laura Andrianopoli , Francesco Cordaro , Pietro Fre' , Leonardo Gualtieri

Several refinements are made in a theory which starts with a Planck-scale statistical picture and ends with supersymmetry and a coupling of fundamental fermions and bosons to SO(N) gauge fields. In particular, more satisfactory treatments…

High Energy Physics - Theory · Physics 2017-08-23 Roland E. Allen

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , D. G. C. McKeon

In the present letter we indicate an extension of the pure gravity inverse scattering integration technique to the case when fermions (introduced on the base of supersymmetry) are present. In this way the integrability technique for simple…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Vladimir A. Belinski

Starting from the usual bosonic membrane action, we develop the geometry suitable for the description of $p$-brane backgrounds. Using the tools of generalized geometry we derive the generalization of string open-closed relations.…

High Energy Physics - Theory · Physics 2014-09-05 Branislav Jurco , Peter Schupp , Jan Vysoky

We present a formalism for spatial averaging in cosmology applicable to general spacetimes and coordinates, and allowing the easy incorporation of a wide variety of matter sources. We apply this formalism to a…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Iain A. Brown , Juliane Behrend , Karim A. Malik

We compute part of the superfield in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion' in 2nd-order formalism. The result is the same as was derived recently in 1.5-order formalism by B. de…

High Energy Physics - Theory · Physics 2007-05-23 Yuuichirou Shibusa

The adS_{p+2} x S^{d-p-2} geometry of the near horizon branes is promoted to a supergeometry: the solution of the supergravity constraints for the vielbein, connection and form superfields are found. This supergeometry can be used for the…

High Energy Physics - Theory · Physics 2010-02-03 R. Kallosh , J. Rahmfeld , A. Rajaraman

A natural N=1 supersymmetric extension of the Euler top, which introduces exactly one fermionic counterpart for each bosonic degree of freedom, is considered. The equations of motion, their symmetries and integrals of motion are given. It…

High Energy Physics - Theory · Physics 2022-02-09 Anton Galajinsky

The canonical structure of supergravity with a cosmological constant is analyzed in 2 + 1 dimensions using the Dirac constraint formalism. The first class constraints are used to find two Bosonic and one Fermionic gauge symmetries that…

General Relativity and Quantum Cosmology · Physics 2020-08-26 D. G. C. McKeon

In this series of lectures I present a review of the geometric structures of supergravity in diverse dimensions mostly relevant to p-brane physics and to pinpoint the correspondence between the macroscopic and microscopic description of…

High Energy Physics - Theory · Physics 2007-05-23 Pietro Fré