nLab Pietro Fré

Pietro Guiseppe Fré

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Selected writings

The original articles on the D'Auria-Fré-Regge formulation of supergravity:

• Riccardo D'Auria, Pietro Fré, Tullio Regge, Geometrical formulation of supergravity as a theory on a supergroup manifold, contribution to Supergravity Workshop, Stony Brook (1979) 85-92 [inspire:148583]

• Riccardo D'Auria, Pietro Fré, Tullio Regge, Supergravity and Cohomology Theory: Progress and Problems in $D = 5$, in Unification of the Fundamental Particle Interactions, Ettore Majorana International Science Series, 7 Springer (1980) [doi:10.1007/978-1-4613-3171-1_12, pdf]

• Riccardo D'Auria, Pietro Fré Tullio Regge, Graded Lie algebra, cohomology and supergravity, Riv. Nuov. Cim. 3, fasc. 12 (1980) [spire7rbrack;

• Riccardo D'Auria, Pietro Fré, About bosonic rheonomic symmetry and the generation of a spin-1 field in $D=5$ supergravity, Nuclear Physics B

  173 3 (1980) 456-476 [doi:10.1016/0550-3213(80)90013-9]

  (on D=4 N=1 supergravity)

• Pietro Fré, Extended supergravity on the supergroup manifold: $N=3$ and $N=2$ theories, Nuclear Physics B

  186 1 (1981) 44-60 [doi:10.1016/0550-3213(81)90092-4]

  (on D=4 N=2 and D=4 N=3 supergravity)

• Riccardo D'Auria, Pietro Fré, A. J. da Silva, Geometric structure of $N=1$, $D=10$ and $N=4$, $D=4$ super Yang-Mills theory, Nuclear Physics B 196 2 (1982) 205-239 [doi:10.1016/0550-3213(82)90036-0]

  (on D=10 and D=4 N=4 super Yang-Mills theory)

• Riccardo D'Auria, Pietro Fré, Geometric Supergravity in D=11 and its hidden supergroup, Nuclear Physics B 201 (1982) 101-140 [doi:10.1016/0550-3213(82)90376-5, errata]

  (on D=11 supergravity)

• Leonardo Castellani, Pietro Fré, F. Giani, Krzysztof Pilch, Peter van Nieuwenhuizen, Gauging of $d = 11$ supergravity?, Annals of Physics 146 1 (1983) 35-77 [spire:11998, doi:10.1016/0003-4916(83)90052-0]

• Riccardo D'Auria, Pietro Fré, Paul Townsend, Invariance of actions, rheonomy and the new minimal $N=1$ supergravity in the group manifold approach, Ann. Phys. 155 (1984) 423-446 [cds:143990, doi:10.1016/0003-4916(84)90007-1, pdf]

• Leonardo Castellani, Riccardo D'Auria, Pietro Fré, Supergravity and Superstrings - A Geometric Perspective, World Scientific (1991)

• Riccardo D'Auria, Pietro Fré, Pietro A. Grassi, Mario Trigiante: Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds, J. High Energy Physics 2008 07 (2008) [arXiv:0803.1703, doi:10.1088/1126-6708/2008/07/059]

  (type IIA supergravity)

On Fierz identities in (D=5) supergravity:

• Riccardo D'Auria, Pietro Fré, E. Maina, Tullio Regge, A New Group Theoretical Technique for the Analysis of Bianchi Identities and Its Application to the Auxiliary Field Problem of $D=5$ Supergravity, Annals Phys. 139 (1982) 93 [doi:10.1016/0003-4916(82)90007-0, spire:167640]

On Freund-Rubin compactifications of 11d supergravity and identifying super $AdS_4\times S^7$ with a coset space of $OSp(8 \vert 4)$:

• Riccardo D'Auria, Pietro Fré: Spontaneous generation of symmetry in the spontaneous compactification of $D=11$ supergravity, Physics Letters B 121 2–3 (1983) 141-146 [doi:10.1016/0370-2693(83)90903-6]

• Riccardo D'Auria, Pietro Fre, Peter van Nieuwenhuizen, Symmetry Breaking in $d=11$ Supergravity on the Parallelized Seven Sphere, Phys. Lett. B 122 (1983) 225 (spire:181634, doi:10.1016/0370-2693(83)90689-5)

On the M2-brane sigma-model on a target-super AdS spacetime:

• Gianguido Dall'Agata, Davide Fabbri, Christophe Fraser, Pietro Fré, Piet Termonia, Mario Trigiante, §4.1 in: The $Osp(8|4)$ singleton action from the supermembrane, Nucl. Phys. B 542 (1999) 157-194 [arXiv:hep-th/9807115, doi:10.1016/S0550-3213(98)00765-2]

On the work of Tullio Regge (Regge calculus, D'Auria-Fré-Regge formulation of supergravity, …):

• Leonardo Castellani, Anna Ceresole, Riccardo D'Auria, Pietro Fré (eds.): Tullio Regge: An Eclectic Genius, World Scientific 2019 (doi:10.1142/11643)

On D=7 supergravity:

• Pietro Fré, Pietro Antonio Grassi, Lucrezia Ravera, Mario Trigiante, Minimal $D=7$ Supergravity and the supersymmetry of Arnold-Beltrami Flux branes, JHEP 1606 (2016) 018 (arXiv:1511.06245)

On N=1 D=4 super Yang-Mills theory via D3 branes at resolved orbifold singularities and invoking a generalized McKay correspondence:

• Pietro G. Fré, Lectures on resolutions à la Kronheimer of orbifold singularities, McKay quivers for Gauge Theories on D3 branes, and the issue of Ricci flat metrics on the resolved three-folds [arXiv:2308.14022]

On special geometry

• Pietro Fré, Lectures on special Kähler geometry and electric-magnetic duality rotations, Nucl. Phys. B Proc. Suppl. 45:2-3, pp. 59–114 (1996) (hep-th/9512043 "https://doi.org/10.1016/0920-5632(95)00629-X">doi)

Textbook on gravity:

• Pietro Fré, Gravity, a Geometrical Course, Volume 1: Development of the Theory and Basic Physical Applications, Spinger (2013) [doi:10.1007/978-94-007-5361-7]

and specifically on black holes, cosmology and the (D'Auria-Fré formulation of) supergravity:

• Pietro Fré, Gravity, a Geometrical Course, Volume 2: Black Holes, Cosmology and Introduction to Supergravity, Springer (2013) [doi:10.1007/978-94-007-5443-0]

Related entries

• D'Auria-Fre formulation of supergravity

• gauged supergravity

• brane

• M2-brane, AdS-CFT

• 7d supergravity

• M-theory super Lie algebra

• 11-dimensional supergravity

• 12-dimensional supergravity

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