17 citations · 67 across the 16 of their papers we have counts for
17 papers
On Duality Invariant Yang-Mills Theory
Carlo Alberto Cremonini, Erik Hundeshagen, Ivo Sachs
We provide an explicit construction of a manifestly duality invariant, interacting deformation of Maxwell theory in four dimensions in terms of mutually local, but interacting 1- a…
Yang-Mills Theory and the Spinning Path Integral
Carlo Alberto Cremonini, Ivo Sachs
We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the supersymmetric world line and evalua…
Yang-Mills Theory From Super Moduli Space
Carlo Alberto Cremonini, Ivo Sachs
For the spinning superparticle we construct the pull-back of the world-line path integral to super moduli space in the Hamiltonian formulation. We describe the underlying geometric…
Fermionic Spencer Cohomologies of D=11 Supergravity
C. A. Cremonini, P. A. Grassi, R. Noris +2
We combine the theory of Cartan-Tanaka prolongations with the Molien-Weyl integral formula and Hilbert-Poincaré series to compute the Spencer cohomology groups of the Poinca…
An Alternative to Homotopy Transfer for -Algebras
C. A. Cremonini, V. E. Marotta
In this work, we propose a novel approach to the homotopy transfer procedure starting from a set of homotopy data such that the first differential complex is a differential graded…
The Geometry of Picture Changing Operators
Carlo Alberto Cremonini
This note aims at clarifying some mathematical aspects of what is known in Physics as \emph{Picture Changing Operator} (PCO). In particular, we want to show that PCOs are chain map…
Supergravities and Branes from Hilbert-Poincaré Series
C. A. Cremonini, P. A. Grassi, R. Noris +1
The Molien-Weyl integral formula and the Hilbert-Poincaré series have proven to be powerful mathematical tools in relation to gauge theories, allowing to count the number of gauge…
M5-brane in the superspace approach
L. Andrianopoli, C. A. Cremonini, R. D'Auria +5
Motivated by Sen's spacetime prescription for the construction of theories with self-dual field strengths, we present a rigid superspace Lagrangian describing noninteracting tensor…
Generalised Cocycles and Super p-Branes
C. A. Cremonini, P. A. Grassi
We study the cohomology (cocycles) of Lie superalgebras for the generalised complex of forms: superforms, pseudoforms and integral forms. We argue that these cocycles might be inte…
Power to Integral Forms
C. A. Cremonini, P. A. Grassi
A novel reformulation of D=4, N=1 supergravity action in the language of integral forms is given. We illustrate the construction of the Berezinian in the supergeometric framework,…
Cohomology of Lie Superalgebras: Forms, Integral Forms and Coset Superspaces
R. Catenacci, C. A. Cremonini, P. A. Grassi +1
We study Chevalley-Eilenberg cohomology of physically relevant Lie superalgebras related to supersymmetric theories, providing explicit expressions for their cocycles in terms of t…
Self-Dual Forms in Supergeometry I: The Chiral Boson
C. A. Cremonini, P. A. Grassi
Recent results of A. Sen on quantum field theory models with self-dual field strengths use string field theory as a starting point. In the present work, we show that combining stri…
Surface Operators in Superspace
Carlo Alberto Cremonini, Pietro Antonio Grassi, Silvia Penati
We generalize the geometrical formulation of Wilson loops recently introduced in arXiv:2003.01729v2 to the description of Wilson Surfaces. For N=(2,0) theory in six dimensions, we…
Supersymmetric Wilson Loops via Integral Forms
C. A. Cremonini, P. A. Grassi, S. Penati
We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the imm…
Chern-Simons Supergravity on Supergroup Manifolds
L. Castellani, C. A. Cremonini, P. A. Grassi
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…
Super Chern-Simons Theory: BV-formalism and -algebras
C. A. Cremonini, P. A. Grassi
This is a companion paper of a long work appeared in [1] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the BV formalism is naturally formu…
Pictures from Super Chern-Simons Theory
C. A. Cremonini, P. A. Grassi
We study super-Chern-Simons theory on a generic supermanifold. After a self-contained review of integration on supermanifolds, the complexes of forms (superforms, pseudo-forms and…