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We introduce N=1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D=1+2 dimensions and being classically equivalent to the formulation based on the Dirac monopole two-form. The model…

High Energy Physics - Theory · Physics 2011-08-12 I. V. Gorbunov , S. M. Kuzenko , S. L. Lyakhovich

The antiferromagnetic Heisenberg chain is expected to have an extended symmetry, [SU(2)xSU(2)]/Z 2 , in the infrared limit, whose physical interpretation is that the spin and dimer order parameters form the components of a common…

Strongly Correlated Electrons · Physics 2018-07-18 Pranay Patil , Emanuel Katz , Anders W. Sandvik

We study the super and dynamical symmetries of a fermion in a monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by the gyromagnetic ratio. We construct the superinvariants…

High Energy Physics - Theory · Physics 2015-05-18 J. -P. Ngome , P. A. Horváthy , J. W. van Holten

In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended…

High Energy Physics - Theory · Physics 2007-05-23 P. C. West

This is an announcement of some of the results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin…

High Energy Physics - Theory · Physics 2011-07-19 Nikita A. Nekrasov , Samson L. Shatashvili

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in…

High Energy Physics - Theory · Physics 2010-04-05 J. Engquist , E. Sezgin , P. Sundell

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with vanishing or positive scalar potential have been denoted as no-scale. Of particular interest in the context of string theory are models which additionally possess a…

High Energy Physics - Theory · Physics 2016-01-27 David Ciupke , Lucila Zarate

Quantum theory is formulated as a probabilistic theory on a flat Minkowski space-time, while general theory of relativity is formulated on a curved manifold as a geometric theory. Bohmian Quantum Gravity approach indicates that one need to…

General Physics · Physics 2018-10-31 Sijo K. Joseph

We revisit the higher spin extensions of the anti de Sitter algebra in four dimensions that incorporate internal symmetries and admit representations that contain fermions, classified long ago by Konstein and Vasiliev. We construct the…

High Energy Physics - Theory · Physics 2015-06-11 Ergin Sezgin , Per Sundell

We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional geometries and spin configurations. We regularize this path…

High Energy Physics - Theory · Physics 2015-07-15 J. Ambjorn , Sh. Khachatryan , A. Sedrakyan

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

High Energy Physics - Theory · Physics 2014-11-18 B. M. Zupnik

We construct the states and symmetries of N = 4 super-Yang-Mills by tensoring two N = 1 chiral multiplets and introducing two extra SUSY generators. This allows us to write the maximal N = 8 supergravity as four copies of the chiral…

High Energy Physics - Theory · Physics 2016-08-29 S. Nagy

Manifestly Lorentz covariant Feynman rules are given in terms of a "scalar" field for each helicity, dramatically simplifying the calculation of amplitudes with massless particles. The spinor helicity formalism is properly identified as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gordon Chalmers , Warren Siegel

Package FeynGrav which provides a framework to deal with Feynman rules for gravity within FeynCalc is presented. We present a framework to deal with the corresponding Feynman rules for general relativity and non-supersymmetric matter…

High Energy Physics - Theory · Physics 2022-07-25 Boris Latosh

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

Gauged off-shell Maxwell-Einstein supergravity in six dimensions with N=(1,0) supersymmetry has a higher derivative extension afforded by a supersymmetrized Riemann squared term. This theory admits a supersymmetric Minkowski x S^2…

High Energy Physics - Theory · Physics 2012-11-16 Y. Pang , C. N. Pope , E. Sezgin

We study the spectrum of hadronic states made up of very massive complex scalar fields in a confining gauge theory admitting a supergravity dual background. We show that for a sub-sector of operators dual to certain spinning strings, the…

High Energy Physics - Theory · Physics 2010-10-27 A. L. Cotrone , L. Martucci , J. M. Pons , P. Talavera

We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the…

High Energy Physics - Theory · Physics 2017-09-12 Sergio Ferrara , Marine Samsonyan

One-dimensional sigma-models with N supersymmetries are considered. For conventional supersymmetries there must be N-1 complex structures satisfying a Clifford algebra and the constraints on the target space geometry can be formulated in…

High Energy Physics - Theory · Physics 2007-05-23 C. M. Hull
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