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Publications Influence

On the body of supermanifolds

- R. Catenacci, C. Reina, P. Teofilatto
- Mathematics
- 1 April 1985

The problem of constructing the body of a G∞ manifold is considered. It is shown that any such manifold is foliated, and the body is defined to be the space of the leaves of this foliation. Under… Expand

27 2

Čech and de Rham cohomology of integral forms

- R. Catenacci, M. Debernardi, P. Grassi, D. Matessi
- Physics, Mathematics
- 12 March 2010

Abstract We present a study on the integral forms and their Cech and de Rham cohomology. We analyze the problem from a general perspective of sheaf theory and we explore examples in superprojective… Expand

19 1- PDF

Pseudospheres in geometry and physics: from Beltrami to De Sitter and beyond ∗

- B. Bertotti, R. Catenacci, C. Dappiaggi
- Mathematics, Physics
- 20 June 2005

We review the extraordinary fertility and proliferation in mathematics and physics of the concept of a surface with constant and negative Gaussian curvature. In his outstanding 1868 paper Beltrami… Expand

1 1- PDF

On the classical energy spectrum of CP2 models

- R. Catenacci, M. Martellini, C. Reina
- Physics
- 23 September 1982

Abstract The classical energy spectrum of CP2 models is studied giving a possible interpretation of the excitated states. The non-topological degeneration of the instantonic levels is analyzed by… Expand

6 1

Super-Quantum Mechanics in the Integral Form Formalism

- L. Castellani, R. Catenacci, P. Grassi
- Physics, Mathematics
- 15 June 2017

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… Expand

8- PDF

The Geometry of Supermanifolds and New Supersymmetric Actions

- L. Castellani, R. Catenacci, P. Grassi
- Physics, Mathematics
- 26 March 2015

Abstract This is the first of two papers in which we construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In this paper we introduce the… Expand

31- PDF

Topological effective field theories for Dirac fermions from index theorem

- Giandomenico Palumbo, R. Catenacci, A. Marzuoli
- Physics
- 26 March 2013

Dirac fermions have a central role in high energy physics but it is well known that they emerge also as quasiparticles in several condensed matter systems supporting topological order. We present a… Expand

4- PDF

Integral representations on supermanifolds: super Hodge duals, PCOs and Liouville forms

- L. Castellani, R. Catenacci, P. Grassi
- Mathematics, Physics
- 3 March 2016

We present a 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… Expand

17- PDF

A note on Killing vectors in algebraically special vacuum space-times

- R. Catenacci, A. Marzuoli, F. Salmistraro
- Physics
- 1 July 1980

A study is made on the connection between the existence of a Killing vector whose associated bivector (Ka;b) is null and the Petrov type. A theorem of Debney is refined. Also considered is a… Expand

3

A note on a hermitian analog of Einstein spaces

- R. Catenacci, A. Marzuoli
- Mathematics
- 1984

It is shown that a Hermitian Einstein space, i.e. a hermitian space such that the Ricci tensor of the hermitian connection is proportional to the hermitian metric, is Kahlerian On montre qu'un espace… Expand

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