36 research outputs found
Rigid 4D N=2 supersymmetric backgrounds and actions
We classify all N=2 rigid supersymmetric backgrounds in four dimensions with
both Lorentzian and Euclidean signature that preserve eight real supercharges,
up to discrete identifications. Among the backgrounds we find specific warpings
of S^3 x R and AdS_3 x R, AdS_2 x S^2 and H^2 x S^2 with generic radii, and
some more exotic geometries. We provide the generic two-derivative rigid vector
and hypermultiplet actions and analyze the conditions imposed on the special
Kahler and hyperkahler target spaces.Comment: 50 + 17 pages; v2: minor corrections, published versio
Non-renormalization theorems and N=2 supersymmetric backgrounds
The conditions for fully supersymmetric backgrounds of general N=2 locally
supersymmetric theories are derived based on the off-shell superconformal
multiplet calculus. This enables the derivation of a non-renormalization
theorem for a large class of supersymmetric invariants with higher-derivative
couplings. The theorem implies that the invariant and its first order variation
must vanish in a fully supersymmetric background. The conjectured relation of
one particular higher-derivative invariant with a specific five-dimensional
invariant containing the mixed gauge-gravitational Chern-Simons term is
confirmed.Comment: 30 pages; v2: minor correction
dilaton Weyl multiplet in 4D supergravity
We construct the dilaton Weyl multiplet for conformal supergravity in
four dimensions. Beginning from an on-shell vector multiplet coupled to the
standard Weyl multiplet, the equations of motion can be used to eliminate the
supergravity auxiliary fields, following a similar pattern as in five and six
dimensions. The resulting 24+24 component multiplet includes two gauge vectors
and a gauge two-form and provides a variant formulation of conformal
supergravity. We also show how this dilaton Weyl multiplet is contained in the
minimal 32+32 Poincare supergravity multiplet introduced by Muller in
superspace.Comment: 15 page
Maximally -extended super-BMS algebras and Generalized 3D Gravity Solutions
We consider the maximal extended supergravity theory in 3
dimensions with fermionic generators transforming under real but non
necessarily irreducible representations of the internal algebra. We obtain the
symmetry algebra at null infinity preserving boundary conditions of
asymptotically flat solutions, i.e. the maximal extended
super-BMS algebra, which possesses non-linear correction in the
anti-commutators of supercharges. We present the supersymmetric energy bound
and derive the explicit form of the asymptotic Killing spinors. We also find
the most generic circular symmetric ground state of the theory, which
corresponds to a non-supersymmetric cosmological solutions and derive their
entropy.Comment: 29+1 pages, typos correcte