63,987 research outputs found
Linearizing N = 3 nonlinear supersymmetry in two dimensions
We investigate for N = 3 supersymmetry (SUSY) in D = 2 the algebraic relation
between the Volkov-Akulov (VA) model of nonlinear (NL) SUSY and a
(renormalizable) SO(3) vector supermultiplet of linear (L) SUSY. We derive SUSY
and SO(3) invariant relations between component fields of the vector
supermultiplet and Nambu-Goldstone (NG) fermions of the VA model at leading
orders by using three arbitrary dimensionless parameters which can be recasted
as the vacuum expectation values of auxiliary fields in the vector
supermultiplet. Two different irreducible representations of SO(3)
super-Poincar\'e symmetry which appear in the same massless state are
compatible with each other in the linearization of NL SUSY. The equivalence of
a NL SUSY VA action to a free L SUSY action containing the Fayet-Iliopoulos
(FI) D term which indicates a spontaneously SUSY breaking is also discussed
explicitly according to the SUSY invariant relations.Comment: 7 pages, Late
BRST gauge fixing and the algebra of global supersymmetry
A global supersymmetry (SUSY) in supersymmetric gauge theory is generally
broken by gauge fixing. A prescription to extract physical information from
such SUSY algebra broken by gauge fixing is analyzed in path integral
framework. If
for a gauge fixing ``fermion'' , the SUSY charge density is written as a
sum of the piece which is naively expected without gauge fixing and a BRST
exact piece. If , the equal-time anti-commutator of
SUSY charge is written as a sum of a physical piece and a BRST exact piece. We
illustrate these properties for N=1 and N=2 supersymmetric Yang-Mills theories
and for a D=10 massive superparticle (or ``D-particle'') where the
-symmetry provides extra complications.Comment: 18 pages, Latex, analysis of N=2 SYM is adde
Conformal Gauge Mediation
We propose a one-parameter theory for gauge mediation of supersymmetry (SUSY)
breaking. The spectrum of SUSY particles such as squarks and sleptons in the
SUSY standard-model and the dynamics of SUSY-breaking sector are, in principle,
determined only by one parameter in the theory, that is, the mass of
messengers. Above the messenger threshold all gauge coupling and Yukawa
coupling constants in the SUSY-breaking sector are on the infrared fixed point.
We find that the present theory may predict a split spectrum of the
standard-model SUSY particles, m_{gaugino} < m_{sfermion}, where m_{gaugino}
and m_{sfermion} are SUSY-breaking masses for gauginos and squarks/sleptons,
respectively.Comment: 17 page
Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
We consider the self-adjoint extensions (SAE) of the symmetric supercharges
and Hamiltonian for a model of SUSY Quantum Mechanics in with a
singular superpotential. We show that only for two particular SAE, whose
domains are scale invariant, the algebra of N=2 SUSY is realized, one with
manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the
N=1 SUSY algebra is obtained, with spontaneously broken SUSY and non degenerate
energy spectrum.Comment: LaTeX. 23 pages and 1 figure (minor changes). Version to appear in
the Journal of Physics A: Mat. and Ge
Search for Supersymmetry Signatures at the LHC
Supersymmetry (SUSY) is one of the most interesting and comprehensively
studied models for new physics beyond the Standard Model. If SUSY exists in
nature the Large Hadron Collider will provide excellent opportunities to search
for SUSY. SUSY discovery strategies of the ATLAS and CMS experiments are
presented with a focus on early data. SUSY mass measurement techniques and
determination of SUSY model parameters are also demonstrated.Comment: To be published in the proceedings of DPF-2009, Detroit, MI, July
2009, eConf C09072
Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect
Based on the recently proposed SUSY quantum Hall effect, we show that
Laughlin and Moore-Read states are related by a hidden SUSY transformation.
Regarding the SUSY Laughlin wavefunction as a master wavefunction, Laughlin and
Moore-Read states appear as two extreme limits of component wavefunctions.
Realizations of topological excitations on Laughlin and Moore-Read states are
also discussed in the SUSY formalism. We develop a streographically projected
formulation of the SUSY quantum Hall effect. With appropriate interpretation of
Grassmann odd coordinates, we illustrate striking analogies between SUSY
quantum Hall effect and superfluidity.Comment: 5 pages, 1 figure, typos fixe
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