7 research outputs found
Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet
We present the superfield action for the dynamical N=1 D=4 supermembrane in
interaction with a dynamical scalar multiplet and use it to derive the
superfield equations of motion. These include the supermembrane equations,
which formally coincide with equations of supermembrane in a background of the
(off-shell) scalar multiplet, and the special chiral superfield equations with
supermembrane source. In the case when the scalar supermultiplet part of the
action contains only the simplest kinetic term we have also extracted the
spacetime component field equations from the superfield equations and solve
these in the leading order on supermembrane tension. The inclusion of
nontrivial superpotential and relation with known supersymmetric domain wall
solutions is briefly discussed.Comment: 26 pages. V2: misprints corrected, references and an acknowledgment
added, minor changes, in particular in sec. 4.2.1. V.3. discussion on the
relation with known solutions added; to appear in Nucl.Phys. B (2011
Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent
This contribution begins the study of the complete superfield Lagrangian
description of the interacting system of D=4 N=1 supergravity (SUGRA) and
supermembrane. Firstly, we review a 'three form supergravity' by Ovrut and
Waldram, which we prefer to call 'special minimal supergravity'. This off-shell
formulation of simple SUGRA is appropriate for our purposes as the
supermembrane action contains the so-called Wess-Zumino term given by the
integral over a three form potential in superspace, C3. We describe this
formulation in the frame of Wess--Zumino superfield approach, showing how the
basic variations of minimal SUGRA are restricted by the conditions of the
existence of a three-form potential C3 in its superspace. In this language the
effect of dynamical generation of cosmological constant, known to be
characteristic for this formulation of SUGRA, appears in its superfield form,
first described by Ogievetsky and Sokatchev in their formulation of SUGRA as a
theory of axial vector superfield. Secondly, we vary the supermembrane action
with respect to the special minimal SUGRA superfields (basic variations) and
obtain the supercurrent superfields as well as the supergravity superfield
equations with the supermembrane contributions.Comment: 18 pages, no figures. V2: Important references added. The abstract
and presentation have been changed to reflect the overloop with that.
Submitted to the QTS7 Proceedings. J. Phys. style use
Supermembrane interaction with dynamical D=4 N=1 supergravity. Superfield Lagrangian description and spacetime equations of motion
We obtain the complete set of equations of motion for the interacting system
of supermembrane and dynamical D=4 N = 1 supergravity by varying its complete
superfield action and writing the resulting superfield equations in the special
gauge where the supermembrane Goldstone field is set to zero. We solve the
equations for auxiliary fields and discuss the effect of dynamical generation
of cosmological constant in the Einstein equation of interacting system and its
renormalization due to some regular contributions from supermembrane. These two
effects (discussed in late 70th and 80th, in the bosonic perspective and in the
supergravity literature) result in that, generically, the cosmological constant
has different values in the branches of the spacetime separated by the
supermembrane worldvolume.Comment: 23 pages, no figures. V2 two references added, 24 page
Extended supersymmetry in massless conformal higher spin theory
We propose superfield equations in tensorial N-extended superspaces to
describe the N=2,4,8 supersymmetric generalizations of free conformal higher
spin theories. These can be obtained by quantizing a superparticle model in
N-extended tensorial superspace. The N-extended higher spin supermultiplets
just contain scalar and 'spinor' fields in tensorial space so that, in contrast
with the standard (super)space approach, no nontrivial generalizations of the
Maxwell or Einstein equations to tensorial space appear when N>2. For N=4,8,
the higher spin-tensorial components of the extended tensorial superfields are
expressed through additional scalar and spinor fields in tensorial space which
obey the same free higher spin equations, but that are axion-like in the sense
that they possess Peccei-Quinn-like symmetries.Comment: 0ne reference added; to appear in Nucl. Phys. B. 18 pages, plain
late