1,750 research outputs found
Radion effective theory in the detuned Randall-Sundrum model
We compute the two-derivative low-energy effective action for the radion in
the (supersymmetric) Randall-Sundrum scenario with detuned brane tensions. At
the classical level, a potential automatically stabilizes the distance between
the branes. In the supersymmetric case, supersymmetry can be broken
spontaneously by a vacuum expectation value for the fifth component of the
graviphoton.Comment: 17 pages. JHEP class. New Appendix. Published versio
Mass Deformation of the Multiple M2 Branes Theory
Based on recent developments, in this letter we study the one parameter
deformation of 2+1 dimensional gauge theories with scale invariance and N = 8
supersymmetry, which is expected to be the field theory living on a stack of M2
branes. The deformed gauge theory is defined by a Lagrangian and is based on an
infinite set of novel 3-algebras constructed by relaxing the assumption that
the invariant metric is positive definite. Under the Higgs mechanism, we can
obtain the D-branes world volume theory in the presence of background fluxes.Comment: 13pages, no figures, reference adde
Fermions and Supersymmetry Breaking in the Interval
We study fermions, such as gravitinos and gauginos in supersymmetric
theories, propagating in a five-dimensional bulk where the fifth dimensional
component is assumed to be an interval. We show that the most general boundary
condition at each endpoint of the interval is encoded in a single complex
parameter representing a point in the Riemann sphere. Upon introducing a
boundary mass term, the variational principle uniquely determines the boundary
conditions and the bulk equations of motion. We show the mass spectrum becomes
independent from the Scherk-Schwarz parameter for a suitable choice of one of
the two boundary conditions. Furthermore, for any value of the Scherk-Schwarz
parameter, a zero-mode is present in the mass spectrum and supersymmetry is
recovered if the two complex parameters are tuned.Comment: 10 pages. v2: Paragraph on off-shell globally supersymmetric
Lagrangian added. Version published in PL
Unifying N=5 and N=6
We write the Lagrangian of the general N=5 three-dimensional superconformal
Chern-Simons theory, based on a basic Lie superalgebra, in terms of our
recently introduced N=5 three-algebras. These include N=6 and N=8
three-algebras as special cases. When we impose an antisymmetry condition on
the triple product, the supersymmetry automatically enhances, and the N=5
Lagrangian reduces to that of the well known N=6 theory, including the ABJM and
ABJ models.Comment: 19 pages. v2: Published version. Minor typos corrected, references
adde
Classification of N=6 superconformal theories of ABJM type
Studying the supersymmetry enhancement mechanism of Aharony, Bergman,
Jafferis and Maldacena, we find a simple condition on the gauge group
generators for the matter fields. We analyze all possible compact Lie groups
and their representations. The only allowed gauge groups leading to the
manifest N=6 supersymmetry are, up to discrete quotients, SU(n) x U(1), Sp(n) x
U(1), SU(n) x SU(n), and SU(n) x SU(m) x U(1) with possibly additional U(1)'s.
Matter representations are restricted to be the (bi)fundamentals. As a
byproduct we obtain another proof of the complete classification of the three
algebras considered by Bagger and Lambert.Comment: 18 page
Three-dimensional topologically gauged N=6 ABJM type theories
In this paper we construct the conformal supergravity in three
dimensions from a set of Chern-Simons-like terms one for each of the graviton,
gravitino, and R-symmetry gauge field and then couple this theory to the
superconformal ABJM theory. In a first step part of the coupled
Lagrangian for this topologically gauged ABJM theory is derived by demanding
that all terms of third and second order in covariant derivatives cancel in the
supersymmtry variation of the Lagrangian. To achieve this the transformation
rules of the two separate sectors must be augmented by new terms. In a second
step we analyze all terms in that are of first order in covariant
derivatives. The cancelation of these terms require additional terms in the
transformation rules as well as a number of new terms in the Lagrangian. As a
final step we check that all remaining terms in which are bilinear
in fermions cancel which means that the presented Lagrangian and transformation
rules constitute the complete answer. In particular we find in the last step
new terms in the scalar potential containing either one or no structure
constant. The non-derivative higher fermion terms in that have not
yet been completely analyzed are briefly discussed.Comment: 26 pages, v.2 minor corrections, comment on relation to chiral
gravity added
On superpotentials for nonlinear sigma-models with eight supercharges
Using projective superspace techniques, we consider 4D N = 2 and 5D N = 1
gauged supersymmetric nonlinear sigma-models for which the hyper-Kahler target
space is (an open domain of the zero section of) the cotangent bundle of a
real-analytic Kahler manifold. As in the 4D N = 1 case, one may gauge those
holomorphic isometries of the base Kahler manifold (more precisely, their
lifting to the cotangent bundle) which are generated by globally defined
Killing potentials. In the U(1) case, by freezing the background vector
(tropical) multiplet to a constant value of its gauge-invariant superfield
strength, we demonstrate the generation of a chiral superpotential, upon
elimination of the auxiliary superfields and dualisation of the complex linear
multiplets into chiral ones. Our analysis uncovers a N = 2 superspace origin
for the results recently obtained in hep-th/0601165.Comment: 8 pages, no figures. V2: comments, references adde
New Goldstone multiplet for partially broken supersymmetry
The partial spontaneous breaking of rigid N=2 supersymmetry implies the
existence of a massless N=1 Goldstone multiplet. In this paper we show that the
spin-(1/2,1) Maxwell multiplet can play this role. We construct its full
nonlinear transformation law and find the invariant Goldstone action. The
spin-1 piece of the action turns out to be of Born-Infeld type, and the full
superfield action is duality invariant. This leads us to conclude that the
Goldstone multiplet can be associated with a D-brane solution of superstring
theory for p=3. In addition, we find that N=1 chirality is preserved in the
presence of the Goldstone-Maxwell multiplet. This allows us to couple it to N=1
chiral and gauge field multiplets. We find that arbitrary Kahler and
superpotentials are consistent with partially broken N=2 supersymmetry.Comment: Latex, 13 pages. Version to appear in Phys. Rev.
Nonholomorphic Corrections to the One-Loop N=2 Super Yang-Mills Action
In addition to the familiar contribution from a holomorphic function \FF,
the K\"ahler potential of the scalars in the nonabelian vector multiplet
receives contributions from a real function \HH. We determine the latter at
the one-loop level, taking into account both supersymmetric matter and gauge
loops. The function \HH characterizes the four-point coupling of the
vector-multiplet vectors for constant values of their scalar superpartners. We
discuss the consequences of our results.Comment: 11 pages, Latex, one Postscript figure. Corrections to equation (24):
1 missing term added and one pair of indices interchange
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