152 citations · 749 across the 35 of their papers we have counts for
33 papers · 1 filter
Supersymmetric extension of the Hull--Lambert--Sen chiral boson on the 2-Torus
Amine El Amri, Pietro Antonio Grassi
We present a supersymmetric extension of the Hull-Lambert-Sen chiral boson model. The two-metric formulation developed by Hull provides a powerful and tractable framework for the q…
On Spinning Particles, their Partition Functions and Picture Changing Operators
Eugenia Boffo, Pietro Antonio Grassi, Ondřej Hulík +1
We compute the partition function for the spinning particle, including pictures and the large Hilbert space, and show that it counts the dimension of the BRST cohomology in t…
Local Operator Algebras of Charged States in Gauge Theory and Gravity
Pietro Antonio Grassi, Massimo Porrati
Powerful techniques have been developed in quantum field theory that employ algebras of local operators, yet local operators cannot create physical charged states in gauge theory o…
BV Formalism and Partition Functions
Pietro Antonio Grassi, Ondrej Hulik
The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of ga…
On Superparticles and their Partition Functions
Eugenia Boffo, Pietro Antonio Grassi, Ondrej Hulik +1
We describe a family of twisted partition functions for the relativistic spinning particle models. For suitable choices of fugacities this computes a refined Euler characteristics…
Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace
L. Castellani, R. Catenacci, P. A. Grassi
We reconstruct the action of Wess-Zumino and super-Yang-Mills theories, using integral top forms on the supermanifold . Choosing differen…
Super Quantum Mechanics in the Integral Form Formalism
L. Castellani, R. Catenacci, P. A. Grassi
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…
The Integral Form of Supergravity
L. Castellani, R. Catenacci, P. A. Grassi
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 opera…
Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms
L. Castellani, R. Catenacci, P. A. Grassi
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…
The Hodge Operator Revisited
L. Castellani, R. Catenacci, P. A. Grassi
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 Geometry of Supermanifolds and New Supersymmetric Actions
L. Castellani, R. Catenacci, P. A. Grassi
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 s…
Supergravity Actions with Integral Forms
L. Castellani, R. Catenacci, P. A. Grassi
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 consisten…
Fermions, Wigs, and Attractors
L. G. C. Gentile, P. A. Grassi, A. Marrani +1
We compute the modifications to the attractor mechanism due to fermionic corrections. In N=2, D=4 supergravity, at the fourth order, we find a new contribution to the horizon value…
Fermionic Wigs for BTZ Black Holes
L. G. C. Gentile, P. A. Grassi, A. Mezzalira
We compute the wig for the BTZ black hole, namely the complete non-linear solution of supergravity equations with all fermionic zero modes. We use a "gauge completion" method start…
Fermionic Wigs for AdS-Schwarzschild Black Holes
L. G. C. Gentile, P. A. Grassi, A. Mezzalira
We provide the metric, the gravitino fields and the gauge fields to all orders in the fermionic zero modes for D=5 and D=4, N=2 gauged supergravity solutions starting from non-extr…
BCJ and KK Relations from BRST Symmetry and Supergravity Amplitudes
P. A. Grassi, A. Mezzalira, L. Sommovigo
We use Pure Spinor string theory to construct suitable kinematical factors which explicitly satisfy the Kleiss-Kuijf (KK) relations. Using the formula conceived by Bern et al. and…
On Projections to the Pure Spinor Space
P. A. Grassi, S. Guttenberg
A family of covariant non-linear projections from the space of SO(10) Weyl spinors onto the space of pure SO(10) Weyl spinors is presented. The Jacobian matrices of these projectio…
Supersymmetric Fluid Dynamics
P. A. Grassi, A. Mezzalira, L. Sommovigo
Recently Navier-Stokes (NS) equations have been derived from the duality between the black branes and a conformal fluid on the boundary of AdS_5. Nevertheless, the full corresponde…
Fluid Super-Dynamics from Black Hole Superpartners
L. G. C. Gentile, P. A. Grassi, A. Mezzalira
Recently the Navier-Stokes equations have been derived from the duality with the black branes in AdS_5. The zero modes of black branes are reinterpreted as dynamical degrees of fre…
Aspects of Quantum Fermionic T-duality
P. A. Grassi, A. Mezzalira
We study two aspects of fermionic T-duality: the duality in purely fermionic sigma models exploring the possible obstructions and the extension of the T-duality beyond classical ap…
Pure Spinor Strings in TsT Deformed Background
P. A. Grassi, J. Kluson
We consider pure spinor strings that propagate in the background generated by a sequence of TsT transformations. We use the fact that U(1) isometry variables of TsT-transformed bac…
N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
P. A. Grassi
The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric…
Super-Chern-Simons Theory as Superstring Theory
P. A. Grassi, G. Policastro
Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus co…
The Background Field Method and the Linearization Problem for Poisson Manifolds
P. A. Grassi, A. Quadri
The background field method (BFM) for the Poisson Sigma Model (PSM) is studied as an example of the application of the BFM technique to open gauge algebras. The relationship with S…