12,288 research outputs found
New nilpotent superfields
We propose new off-shell models for spontaneously broken local
supersymmetry, in which the supergravity multiplet couples to nilpotent
Goldstino superfields that contain either a gauge one-form or a gauge two-form
in addition to spin-1/2 Goldstone fermions and auxiliary fields. In the case of
Poincar\'e supersymmetry, we elaborate on the concept of twisted
chiral superfields and present a nilpotent superfield that
underlies the cubic nilpotency conditions given in arXiv:1707.03414 in terms of
constrained superfields.Comment: 20 pages; V3: typos correcte
Conformally flat supergeometry in five dimensions
Using the superspace formulation for the 5D N = 1 Weyl supermultiplet
developed in arXiv:0802.3953, we elaborate the concept of conformally flat
superspace in five dimensions. For a large family of supersymmetric theories
(including sigma-models and Yang-Mills theories) in the conformally flat
superspace, we describe an explicit procedure to formulate their dynamics in
terms of rigid 4D N = 1 superfields. The case of 5D N = 1 anti-de Sitter
superspace is discussed as an example.Comment: 16 pages, no figures; V2: typos corrected, comments added; V3: typo
in eq. (79) correcte
Symmetries of curved superspace in five dimensions
We develop a formalism to construct supersymmetric backgrounds within the
superspace formulation for five-dimensional (5D) conformal supergravity given
in arXiv:0802.3953. Our approach is applicable to any off-shell formulation for
5D minimal Poincare and anti-de Sitter supergravity theories realized as the
Weyl multiplet coupled with two compensators. For those superspace backgrounds
which obey the equations of motion for (gauged) supergravity, we naturally
reproduce the supersymmetric solutions constructed a decade ago by Gauntlett et
al. For certain supersymmetric backgrounds with eight supercharges, we
construct a large family of off-shell supersymmetric sigma models such that the
superfield Lagrangian is given in terms of the Kahler potential of a real
analytic Kahler manifold.Comment: 47 pages; V2: references added, minor modifications, published
versio
Higher derivative couplings and massive supergravity in three dimensions
We develop geometric superspace settings to construct arbitrary higher
derivative couplings (including R^n terms) in three-dimensional supergravity
theories with N=1,2,3 by realising them as conformal supergravity coupled to
certain compensators. For all known off-shell supergravity formulations, we
construct supersymmetric invariants with up to and including four derivatives.
As a warming-up exercise, we first give a new and completely geometric
derivation of such invariants in N=1 supergravity. Upon reduction to
components, they agree with those given in arXiv:0907.4658 and arXiv:1005.3952.
We then carry out a similar construction in the case of N=2 supergravity for
which there exist two minimal formulations that differ by the choice of
compensating multiplet: (i) a chiral scalar multipet; (ii) a vector multiplet.
For these formulations all four derivative invariants are constructed in
completely general and gauge independent form. For a general supergravity model
(in the N=1 and minimal N=2 cases) with curvature-squared and lower order
terms, we derive the superfield equations of motion, linearise them about
maximally supersymmetric backgrounds and obtain restrictions on the parameters
that lead to models for massive supergravity. We use the non-minimal
formulation for N = 2 supergravity (which corresponds to a complex linear
compensator) to construct a novel consistent theory of massive supergravity. In
the case of N = 3 supergravity, we employ the off-shell formulation with a
vector multiplet as compensator to construct for the first time various higher
derivative invariants. These invariants may be used to derive models for N = 3
massive supergravity. As a bi-product of our analysis, we also present
superfield equations for massive higher spin multiplets in (1,0), (1,1) and
(2,0) anti-de Sitter superspaces.Comment: 84 pages; V3: references added, minor modifications, published
versio
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