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We review a geometrical, so called superembedding, approach to the description of the dynamics of point-like and extended supersymmetric objects (superbranes) in String Theory. The approach is based on a supersymmetric extension of the…

High Energy Physics - Theory · Physics 2024-03-12 Igor A. Bandos , Dmitri P. Sorokin

Supersymmetry transformations may be represented by unitary operators in a formulation of supersymmetry without numbers that anti-commute. The physical relevance of this formulation hinges on whether or not one may add states of even and…

High Energy Physics - Theory · Physics 2010-02-03 Kevin Cahill

I review the covariant quantization of the critical $N{=}2$ fermionic string with and without a global ${\bf Z}_2$ twist. The BRST analysis yields massless bosonic and fermionic vertex operators in various ghost and picture number sectors,…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld

The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body positive--semidefinite operator that corresponds to the canonical convex decomposition into the extreme elements of the dual cone of the set of fermion…

Quantum Physics · Physics 2009-10-28 Hubert Grudzinski

We present a general derivation of semi-fermionic representation for spin operators in terms of a bilinear combination of fermions in real and imaginary time formalisms. The constraint on fermionic occupation numbers is fulfilled by means…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Kiselev

We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of…

High Energy Physics - Theory · Physics 2013-05-29 Holger Gies , Franziska Synatschke , Andreas Wipf

We use the additional variables of suitably enlarged superspaces to write new actions for extended objects, with kappa-symmetry, in such a way that the tension emerges from them as an integration constant. Our actions correspond to the…

High Energy Physics - Theory · Physics 2009-11-10 Jose A. de Azcarraga , Jose M. Izquierdo , Cesar Miquel-Espanya

An action for the ten-dimensional Green-Schwarz superstring with N=2 worldsheet superconformal invariance has recently been used to calculate superstring scattering amplitudes and prove their finiteness. In this paper, it is shown that the…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

A novel approach is proposed to analyze a rather vast counter-rotating Hamiltonian interaction in the context of cavity quantum electrodynamics. The method relies upon the supersymmetric mapping of the corresponding rotating interaction and…

Quantum Physics · Physics 2025-01-28 Ivan A. Bocanegra-Garay , L. Hernández Sánchez , H. M. Moya-Cessa

In this manuscript we consider the transformations of the oscillators of the bosonic fields of the superstring in terms of the fermions oscillators and vice versa. We demand the exchange of the commutation and anti-commutation relations of…

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

It is known that the transformations of fermionic T-duality, derived from the worldsheet theory, generically transform real supergravity backgrounds to complex supergravity backgrounds. We consider the low-energy target space theory and…

High Energy Physics - Theory · Physics 2011-01-20 Hadi Godazgar , Malcolm J. Perry

We present the complete supersymmetric and $\kappa$--symmetric action for the 4-dimensional interacting system of open supermembrane, dynamical supergravity and 3--form matter multiplets. The cases of a single 3-form matter multiplet and a…

High Energy Physics - Theory · Physics 2020-01-29 Igor Bandos

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any…

High Energy Physics - Theory · Physics 2009-11-10 P. A. Grassi , L. Tamassia

A model for $n$ superparticles in $(d-n,n)$ dimensions is studied. The target space supersymmetry involves a product of $n$ momentum generators, and the action has $n(n+1)/2$ local bosonic symmetries and $n$ local fermionic symmetries. The…

High Energy Physics - Theory · Physics 2009-10-30 I. Rudychev , E. Sezgin

The computation of $\kappa$-anomalies in the Green-Schwarz heterotic superstring sigma-model and the corresponding Wess-Zumino consistency condition constitute a powerful alternative approach for the derivation of manifestly supersymmetric…

High Energy Physics - Theory · Physics 2009-10-28 A. Candiello , K. Lechner , M. Tonin

Diagrammatic perturbation theory is a powerful tool for the investigation of interacting many-body systems, the self-energy operator $\Sigma$ encoding all the variety of scattering processes. In the simplest scenario of correlated electrons…

Strongly Correlated Electrons · Physics 2020-07-22 Y. Pavlyukh , G. Stefanucci , R. van Leeuwen

We formulate target space duality symmetry of NSR superstring from the perspectives of worldsheet. The worldsheet action is presented in the superspace formalism in the presence of massless backgrounds. We start from a ${\hat…

High Energy Physics - Theory · Physics 2015-06-04 Jnanadeva Maharana

We derive parametric integral representations for the general $n$-point function of scalar operators in momentum-space conformal field theory. Recently, this was shown to be expressible as a generalised Feynman integral with the topology of…

High Energy Physics - Theory · Physics 2023-03-21 Francesca Caloro , Paul McFadden

We illustrate the various ways in which the algebraic framework of noncommutative geometry naturally captures the short-distance spacetime properties of string theory. We describe the noncommutative spacetime constructed from a vertex…

High Energy Physics - Theory · Physics 2010-11-19 Fedele Lizzi , Richard J. Szabo

The $N=2$ fermionic string theory is revisited in light of its recently proposed equivalence to the non-compact $N=4$ fermionic string model. The issues of space-time Lorentz covariance and supersymmetry for the BRST quantized $N=2$ strings…

High Energy Physics - Theory · Physics 2010-04-06 S. V. Ketov