1,252 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
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
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
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.+
A Note on Embedding of M-Theory Corrections into Eleven-Dimensional Superspace
By analyzing eleven-dimensional superspace fourth-rank superfield strength
F-Bianchi identities, we show that M-theory corrections to eleven-dimensional
supergravity can not be embedded into the mass dimension zero constraints, such
as the (\g^{a b})_{\a\b} X_{a b}{}^c or i (\g^{a_1... a_5})_{\a\b} X_{a_1...
a_5}{}^c -terms in the supertorsion constraint T_{\a\b}{}^c. The only possible
modification of superspace constraint at dimension zero is found to be the
scaling of F_{\a\b c d} like F_{\a\b c d} = (1/2) \big(\g_{c d}\big)_{\a\b}
e^\Phi for some real scalar superfield \Phi, which alone is further shown not
enough to embed general M-theory corrections. This conclusion is based on the
dimension zero F-Bianchi identity under the two assumptions: (i) There are no
negative dimensional constraints on the F-superfield strength: F_{\a\b\g\d} =
F_{\a\b\g d} =0; (ii) The supertorsion T-Bianchi identities and F-Bianchi
identities are not modified by Chern-Simons terms. Our result can serve as a
powerful tool for future exploration of M-theory corrections embedded into
eleven-dimensional superspace supergravity.Comment: 14 pages, latex, some minor typos corrected, as well as old section 5
deleted, due to the subtlety about Chern-Simons term in F-Bianchi identitie
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