Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Castellani, L"'
We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the Chern-Simons
Externí odkaz:
http://arxiv.org/abs/2002.09400
We reconstruct the action of $N=1, D=4$ Wess-Zumino and $N=1, 2, D=4$ super-Yang-Mills theories, using integral top forms on the supermanifold ${\cal M}^{(4|4)}$. Choosing different Picture Changing Operators, we show the equivalence of their rheonom
Externí odkaz:
http://arxiv.org/abs/1711.07194
We reformulate Super Quantum Mechanics in the context of integral forms. This framework allows to interpolate between different actions for the same theory, connected by different choices of Picture Changing Operators (PCO). In this way we retrieve c
Externí odkaz:
http://arxiv.org/abs/1706.04704
By using integral forms we derive the superspace action of D=3, N=1 supergravity as an integral on a supermanifold. The construction is based on target space picture changing operators, here playing the role of Poincare' duals to the lower-dimensiona
Externí odkaz:
http://arxiv.org/abs/1607.05193
We present few types of integral transforms and integral representations that are very useful for extending to supergeometry many familiar concepts of differential geometry. Among them we discuss the construction of the super Hodge dual, the integral
Externí odkaz:
http://arxiv.org/abs/1603.01092
We present a new construction for the Hodge operator for differential manifolds based on a Fourier (Berezin)-integral representation. We find a simple formula for the Hodge dual of the wedge product of differential forms, using the (Berezin)-convolut
Externí odkaz:
http://arxiv.org/abs/1511.05105
We construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In the case of supermanifolds it is known that the superforms are not sufficient to construct a consistent integration theory and that the in
Externí odkaz:
http://arxiv.org/abs/1503.07886
Integral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical appro
Externí odkaz:
http://arxiv.org/abs/1409.0192
Autor:
Aschieri, P., Castellani, L.
We present a noncommutative (NC) version of the action for vielbein gravity coupled to gauge fields. Noncommutativity is encoded in a twisted star product between forms, with a set of commuting background vector fields defining the (abelian) twist. A
Externí odkaz:
http://arxiv.org/abs/1205.1911
Publikováno v:
Int.J.Mod.Phys. A19 (2004) 1961-1986
We study de Rham cohomology for various differential calculi on finite groups G up to order 8. These include the permutation group S_3, the dihedral group D_4 and the quaternion group Q. Poincare' duality holds in every case, and under some assumptio
Externí odkaz:
http://arxiv.org/abs/math-ph/0211008