16,313 research outputs found
Super Yang-Mills theory from nonlinear supersymmetry
The relation between a nonlinear supersymmetic (NLSUSY) theory and a SUSY
Yang-Mills (SYM) theory is studied for N = 3 SUSY in two-dimensional
space-time. We explicitly show the NL/L SUSY relation for the (pure) SYM theory
by means of cancellations among Nambu-Goldstone fermion self-interaction terms.Comment: 9 page
On Wess-Zumino gauge
In the relation between the linear (L) supersymmetry (SUSY) representation
and the nonlinear (NL) SUSY representation we discuss the role of the
Wess-Zumino gauge. We show in two dimensional spacetime that a spontaneously
broken LSUSY theory with mass and Yukawa interaction terms for a minimal
off-shell vector supermultiplet is obtained from a general superfield without
imposing any special gauge conditions in N = 2 NL/L SUSY relation.Comment: 9 page
On Origin of Mass and Supersymmetry
We show that the nonlinear supersymmetric general relativity gives new
insights into the origin of mass and elucidates the mysterious relations
between the cosmology and the (low energy) particle physics.Comment: 7 page
On SUSY breaking from NL/L SUSY relation
We show in two dimensional space-time (d = 2) the relation between a N = 2
nonlinear supersymmetric (NLSUSY) model and a N = 2 linear (L) SUSY Yang-Mills
(SYM) theory with matter (N = 2 LSUSY QCD theory). We give a new interpretation
of four Nambu-Goldstone fermion (superon) contact terms, which emerge from a N
= 2 general SUSY QCD (composite) action, as mass terms for LSUSY
supermultiplets and discuss the possible SUSY breaking mechanism in NL/L SUSY
relation for SUSY gauge theories in d = 2.Comment: 11 page
On vacuum structures of N = 2 LSUSY QED equivalent to N = 2 NLSUSY model
The vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED,
which is equivalent to N = 2 nonlinear supersymmetry (NLSUSY) model, is studied
explicitly in two dimensional space-time (d = 2). Two different isometries
SO(1,3) and SO(3,1) appear for the vacuum field configuration corresponding to
the various parameter regions. Two different field configurations of SO(3,1)
isometry describe the two different physical vacua, i.e. one breaks
spontaneously both U(1) and SUSY and the other breaks spontaneously SUSY alone.Comment: 10 pages, correct form of the potential given as a footnot
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
Analytic expression for pull-or-jerk experiment
This work focuses on a theoretical analysis of a well-known inertia
demonstration, which uses a weight suspended by a string with an extra string
that hangs below the weight. The point in question is which string, the upper
or lower, will break when pulling down on the bottom edge of the lower string
at a constant pulling speed. An analytic solution for the equation of motion
allows us to identify the critical value of the pulling speed, beyond which the
string breaking varies from one to the other. The analysis also provides us a
phase diagram that illustrates the interplay between the pulling speed and the
string's elasticity in the pull-or-jerk experiment.Comment: 12 pages, 5 figures; To appear in Eur. J. Phys. (2014
On Linearization of N=1 Nonlinear Supersymmetry
The N=1 Volkov-Akulov model of nonlinear supersymmetry is explicitly related
to a vector supermultiplet model with a Fayet-Iliopoulos D term of linear
supersymmetry. The physical significance of the results is discussed briefly.Comment: 10 pages, LaTeX, references added and minor correction
Nonlinear Supersymmetric General Relativity and Unity of Nature
Nonlinear supersymmetric(NLSUSY) general relativity(GR) is considered and a
new fundamental action of the vacuum Einstein-Hilbert(EH)-type is obtained by
the Einstein gravity analogue geomtrical arguments on new spacetime inspired by
NLSUSY. The new action of NLSUSY GR is unstable and breaks spontaneously to EH
action with matter(or New spacetime is unstable and induces spontaneously the
phase transition to Riemann spacetime with matter), which may be the real shape
of the big bang of the universe and give naturally the unified description of
spacetime and matter. Some implications for the low energy particle physics and
the cosmology are discussed.Comment: Based on the talk given at International Conference on Quantum Theory
and Symmetry, September 9-14, Cincinnati University, Ohio, US
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