1,030 research outputs found
A Computer Algorithm For Engineering Off-Shell Multiplets With Four Supercharges On The World Sheet
We present an adinkra-based computer algorithm implemented in a Mathematica
code and use it in a limited demonstration of how to engineer off-shell,
arbitrary N-extended world-sheet supermultiplets. Using one of the outputs from
this algorithm, we present evidence for the unexpected discovery of a
previously unknown 8 - 8 representation of N = 2 world sheet supersymmetry. As
well, we uncover a menagerie of (p, q) = (3, 1) world sheet supermultiplets.Comment: 52 pages, 64 figures, LaTeX twice, added note in proof, addition of
comments about gauge invariance for 4D vector & tensor supermultiplet
Non-Abelian Tensors with Consistent Interactions
We present a systematic method for constructing consistent interactions for a
tensor field of an arbitrary rank in the adjoint representation of an arbitrary
gauge group in any space-time dimensions. This method is inspired by the
dimensional reduction of Scherk-Schwarz, modifying field strengths with certain
Chern-Simons forms, together with modified tensorial gauge transformations. In
order to define a consistent field strength of a r-rank tensor
B_{\mu_1...\mu_r}^I in the adjoint representation, we need the multiplet
(B_{\mu_1...\mu_r}^I, B_{\mu_1...\mu_{r-1}}^{I J}, ..., B_\mu^{I_1...I_r},
B^{I_1... I_{r+1}}). The usual problem of consistency of the tensor field
equations is circumvented in this formulation.Comment: 15 pages, no figure
Non-Minimal String Corrections And Supergravity
We reconsider the well-known issue of string corrections to Supergravity
theory. Our treatment is carried out to second order in the string slope
parameter. We establish a procedure for solving the Bianchi identities in the
non minimal case, and we solve a long standing problem in the perturbative
expansion of D=10, N=1 string corrected Supergravity, obtaining the H sector
tensors, torsions and curvatures.Comment: 19 pages, PACS number: 04.65.+
Comparison of Some Exact and Perturbative Results for a Supersymmetric SU() Gauge Theory
We consider vectorial, asymptotically free supersymmetric
SU() gauge theories with copies of massless chiral super fields in
various representations and study how perturbative predictions for the lower
boundary of the infrared conformal phase, as a function of , compare with
exact results. We make use of two-loop and three-loop calculations of the beta
function and anomalous dimension of the quadratic chiral super field operator
product for this purpose. The specific chiral superfield contents that we
consider are copies of (i) , (ii) , (iii) ,
and (iv) , where , , , and denote,
respectively, the fundamental, adjoint, and symmetric and antisymmetric rank-2
tensor representations. We find that perturbative results slightly overestimate
the value of relative to the respective exact results for these
representations, i.e., slightly underestimate the interval in for which
the theory has infrared conformal behavior. Our results provide a measure of
how closely perturbative calculations reproduce exact results for these
theories.Comment: 16 pages, 3 figure
Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace
We study the structure of the gauge sector of the Bagger-Lambert-Gustavsson
(BLG) theory in the form proposed by van Raamsdonk, adapted to 3D, N=1
superspace. By using the novel Higgs mechanism proposed by Mukhi and
Papageorgakis, we derive the manifestly N=1 supersymmetric higher-order terms
(beyond the supersymmetric Yang-Mills action) that follow from the BLG theory
in its expansion with respect to the inverse gauge coupling constant squared.
We find that all those terms have at least one anti-commutator of the super-YM
field strength superfields as a factor, and thus are reducible to the SYM terms
with the higher (spacetime) derivatives.Comment: 13 pages, LaTeX2e, no figures (title changed, few comments and
references added
Dynamical Equations from a First-Order Perturbative Superspace Formulation of 10D N=1 String-Corrected Supergravity (I)
Utilizing a first-order perturbative superspace approach, we derive the
bosonic equations of motion for the 10D, N = 1 supergravity fields. We give the
Lagrangian corresponding to these equations derived from superspace geometry.
Moreover, the equivalence of this Lagrangian to the first-order perturbative
component level Lagrangian of anomaly-free supergravity is proven. Our
treatment covers both the two-form and six-form formulations.Comment: 20 pages, no figures, references and note in proof adde
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