Subhash Rajpoot

Gauged N=2 supergravity in nine dimensions and domain wall solutions

Abstract We present massive N=2 supergravity with SO(2)-gauging in nine dimensions by direct construction. Axa0full Lagrangian and transformation rules are fixed, respectively, up to quartic and quadratic fermion terms. Corresponding to the generalized Scherk–Schwarz dimensional reduction utilizing SL(2, R ) symmetry, this theory allows three arbitrary mass parameters m0, m1 and m2 in addition to the minimal gauge coupling g, so that our system has the most general form compared with other results in the past. Unlike ordinary gauged maximal supergravity theories in other dimensions, the scalar potential is positive definite for arbitrary values of the mass parameters. As an application, we also analyze the stability and supersymmetry for 7-brane domain wall solutions for this gauged maximal supergravity, keeping the three mass parameters.

Teleparallel complex gravity as foundation for noncommutative gravity

Abstract We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory. The negative energy ghosts in the conventional formulation with U (1,3)xa0 local Lorentz connection no longer exists, since the local Lorentz invariance is broken down to U (1,3)xa0 global Lorentz symmetry. As desired, our teleparallel complex gravity theory also passes the key classical test of perihelion advance of Mercury. Based on this result, we present a Lagrangian for the noncommutative teleparallel gravity theory.

Alternative N=2 supergravity in five dimensions with singularities☆

Abstract We present an alternative N=2 supergravity multiplet coupled to n copies of vector multiplets and n′ copies of hypermultiplets in five dimensions. Our supergravity multiplet contains a single antisymmetric tensor and a dilaton, which are natural Neveu–Schwarz massless fields in superstring theory. The absence of the explicit Chern–Simons terms in our Lagrangian deletes the non-trivial constraints on the couplings of vector multiplets in the conventional formulation. The scalars in the vector multiplets form the σ-model for the coset SO(n,1)/SO(n), like those in the vector multiplets coupled to N=1 supergravity in nine dimensions, while the scalars in the hypermultiplets form that for the quaternionic Kahler manifold Sp(n′,1)/Sp(n′)×Sp(1). We also perform the gauging of the SO(2) subgroup of the Sp(1)=SL(2, R ) automorphism group of N=2 supersymmetry. Our result is also generalized to singular 5D space–time as in the conventional formulation, as a preliminary for supersymmetric Randall–Sundrum brane world scenario.

Alternative N=2 supergravity in singular five dimensions with matter/gauge couplings

Abstract We present an extended study of our previous work on an alternative five-dimensional N =2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu–Schwarz massless fields in superstring theory. Our total matter multiplets include n copies of vector multiplets forming the sigma-model coset space SO ( n ,1)/ SO ( n ), and n ′ copies of hypermultiplets forming the quaternionic Kahler manifold Sp ( n ′,1)/ Sp ( n ′)× Sp (1). We complete the couplings of matter multiplets to supergravity with the gauged group of the type SO (2)× Sp ( n ′)× Sp (1)× H ×[ U (1)] n − p +1 for an arbitrary gauge group H with p ≡ dim H +1, and the isotropy group Sp ( n ′)× Sp (1) of the coset Sp ( n ′,1)/ Sp ( n ′)× Sp (1) formed by the hypermultiplets. We also describe the generalization to singular 5D spacetime as in the conventional formulation.

Gauge and gravitational interactions with local scale invariance

Local scale invariance as a fundamental symmetry of Nature is proposed. This necessitates the existence of a new vector boson associated with local scale invariance. The new boson is referred to as the Weylon. The local gauge action is taken to be that of the Standard Model with SU(3)⊗SU(2)⊗U(1) gauge symmetry. For gravitational interactions, two actions are considered, one linear in curvature and the other quadratic in torsion. In both types of theories breaking of the local gauge and scale invariance is achieved through the usual doublet of scalars and leads to massive vector bosons with the remarkable result that all Higgs degrees of freedom are entirely eliminated. In both models, the Weylon acquires a mass of around 1019u2009GeV.

Teleparallel superspace in eleven-dimensions coupled to supermembranes

We present a superspace formulation of

Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity

N=1

Weyl’s Scale Invariance: Inflation, Dark Matter and Dark Energy Connections

eleven-dimensional supergravity with no manifest local Lorentz covariance, which we call teleparallel superspace. This formulation will be of great importance, when we deal with other supergravity theories in dimensions higher than eleven dimensions, or a possible formulation of noncommutative supergravity. As an illustrative example, we apply our teleparallel superspace formulation to the case of

Supersymmetric E8(+8)/SO(16) sigma-model coupled to N=1 supergravity in three dimensions

N=1

Nonholonomic jet deformations, exact solutions for modified Ricci soliton and Einstein equations

supergravity in twelve dimensions. We also show the advantage of teleparallel superspace as backgrounds for supermembrane action.