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We review the actions of the supergravity theory in eleven dimensions as well as the type IIA and IIB supergravities in ten dimensions and derive the bosonic equations of motion in a coordinate-free notation. We also consider the existence…

Differential Geometry · Mathematics 2016-07-20 M. J. D. Hamilton

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. The superalgebra os0(1,2) is considered as subalgebra of sl(1,2); the latter may be considered as the algebra of…

High Energy Physics - Theory · Physics 2015-06-26 Bodo Geyer , Dietmar Mülsch

We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic operator between two states. We proceed by…

High Energy Physics - Theory · Physics 2010-02-03 Michael Chesterman

We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincar\'e and conformal quantum…

Quantum Algebra · Mathematics 2012-07-06 D. Cervantes , R. Fioresi , M. A. Lledo

In this paper, two things are done. (i) First, it is shown that any global symmetry of a gauge-invariant theory can be extended to the ghosts and the antifields so as to leave invariant the solution of the master-equation (before gauge…

High Energy Physics - Theory · Physics 2016-08-15 Friedemann Brandt , Marc Henneaux , André Wilch

We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown…

Quantum Physics · Physics 2009-10-31 V. M. Tkachuk , P. Roy

In this manuscript we study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them "fictitious coordinates". The worldsheet supersymmetry and…

High Energy Physics - Theory · Physics 2020-08-21 Davoud Kamani

Unitarity of scale-invariant coupled theory of higher-derivative gravity and matter is investigated. A scalar field coupled with dirac fermion is taken as matter sector.Following the idea of induced gravity Einstein-Hilbert term is…

High Energy Physics - Theory · Physics 2017-10-23 Gaurav Narain

We initiate a systematic study of the solutions of three-dimensional matter-coupled half-maximal (N=8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a…

High Energy Physics - Theory · Physics 2011-02-07 Nihat Sadik Deger , Henning Samtleben , Ozgur Sarioglu

We describe a new realization of supersymmetry, called scalar supersymmetry, acting in spaces of differential forms (bi-spinors), where transformation parameters are Lorentz scalars instead of spinors. The realization is related but is not…

High Energy Physics - Phenomenology · Physics 2015-06-11 Alex Jourjine

We review the BRST analysis of the system of a (super)conformal matter coupled to 2D (super)gravity. The spectrum and its operator realization are reported. In particular, the operators associated with the states of nonzero ghost number are…

High Energy Physics - Theory · Physics 2008-11-26 Katsumi Itoh , Nobuyoshi Ohta

We develop techniques for computing superconformal blocks in 4d superconformal field theories. First we study the super-Casimir differential equation, deriving simple new expressions for superconformal blocks for 4-point functions…

High Energy Physics - Theory · Physics 2014-12-05 A. Liam Fitzpatrick , Jared Kaplan , Zuhair U. Khandker , Daliang Li , David Poland , David Simmons-Duffin

We present a detailed investigation of scattering processes in $W_3$ string theory. We discover further physical states with continuous momentum, which involve excitations of the ghosts as well as the matter, and use them to gain a better…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , S. Schrans , X. J. Wang

The relativistic complex-ghost field theory is covariantly formulated in terms of Wightman functions. The Fourier transform of the 2-point Wightman function of a complex-ghost pair is explicitly calculated, and its spontaneous breakdown of…

High Energy Physics - Theory · Physics 2008-11-26 Noboru Nakanishi

We study $c<1$ matter coupled to gravity in the Coulomb gas formalism using the double cohomology of the string BRST and Felder BRST charges. We find that states outside the primary conformal grid are related to the states of non-zero ghost…

High Energy Physics - Theory · Physics 2010-11-01 S. Govindarajan , T. Jayaraman , V. John , P. Majumdar

We study the cohomology of the massless BRST complex of the Type IIB pure spinor superstring in flat space. In particular, we find that the cohomology at the ghost number three is nontrivial and transforms in the same representation of the…

High Energy Physics - Theory · Physics 2015-10-27 Andrei Mikhailov

We work out the quantization of the massless vector field by introducing quantum supersymmetric ghosts. We prove positivity in the physical Fock space.

High Energy Physics - Theory · Physics 2007-05-23 Florin Constantinescu

We obtain the correct cohomology at any ghost number for the open and closed covariant superstring, quantized by an approach which we recently developed. We define physical states by the usual condition of BRST invariance and a new…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

We make some considerations and remarks on D=11 supergravity and its integral form. We start from the geometrical formulation of supergravity and by means of the integral form technique we provide a superspace action that reproduces (at the…

High Energy Physics - Theory · Physics 2023-04-05 Pietro Antonio Grassi

We study the low-energy effective actions for gauge superfields induced by quantum N=2 and N=4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N=2 superspace we propose a…

High Energy Physics - Theory · Physics 2014-11-20 I. L. Buchbinder , N. G. Pletnev , I. B. Samsonov