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Areas of research: Supersymmetric theory of gravity

MI12: Supersymmetry, black holes and quantum gravity. Motivation: All theories of grand unification are based on the concepts of supersymmetry and extra dimensionality. They can show up only under critical conditions such as high energy density or/and astrophysical singularities.

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Areas of research: Supersymmetric theory of gravity

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  1. MI12: Supersymmetry, black holes and quantum gravity Motivation: All theories of grand unification are based on the concepts of supersymmetry and extra dimensionality. They can show up only under critical conditions such as high energy density or/and astrophysical singularities. Areas of research: Supersymmetric theory of gravity Higher order derivative corrections to Einstein-Maxwell action Multicenter black hole systems High energy experiments LHC, Tevatron ecc. Astronomical observations Black holes, galaxy cores ecc.

  2. Main Results of MI12 LNF • Extremal supersymmetric black hole solutions in the presence of higher orderderivative corrections stemming fromcompactifications of superstring actionon three tori • Study of the stability of extremal supersymmetric black hole solutions in the framework of the entropy function formalism • Study the stability of small black holes • SU(2) Hamiltonian reduction of N=4 supersymmetric quantum mechanics from a simple free theory to obtain non-trivial dynamics of particles in 5-dimensional background. The fact that the SU(2) Hamiltonian reduction does not break supersymmetry, which would be impossible for QFTs in higher dimension, but possible in quantum mechanics.Possible physical application offered by the authors is the non-abelian quantum Hall effect! • Exact intrinsic thermodynamic geometric account of canonical energy fluctuations and box counting entropy in microcanonical representations of black holes: implications of correlated states for the 1/2-BPS supergravity black holes.

  3. Selected References MI12 LNF • N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background. S. Bellucci, S. Krivonos, A. Sutulin. arXiv:1006.4770 • SU(2) reductions in N=4 multidimensional supersymmetric mechanics.S. Bellucci, S. Krivonos, A. Sutulin. arXiv:1006.0376 • Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole. S. Bellucci, S. Krivonos, A. SutulinPhys.Rev.D81:105026,2010. • An Exact Fluctuating 1/2-BPS Configuration.S.Bellucci, B.N.TiwariJHEP 1005:023,2010. • State-space Correlations and Stabilities.S. Bellucci, B.N.TiwariarXiv:0910.5309 • On Quantum Special Kaehler Geometry. S. Bellucci,A. Marrani, R. RoychowdhuryInt.J.Mod.Phys.A25:1891-1935,2010. • S. Bellucci, S. Ferrara, M. Gunaydin, A. Marrani“SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity,” Springer Proceedings in Physics, Vol. 134 July 2010 • S. Bellucci, F. Toppan, V. Yeghikyan “Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere,” J.Phys.A43:045205,2010.

  4. Selected References MI12 LNF • First order flows for N=2 extremal black holes and duality invariants.A. Ceresole, G. Dall'Agata, S. Ferrara, A. Yeranyan,Nucl.Phys.B824:239-253,2010. • Universality of the superpotential for d = 4 extremal black holes.A. Ceresole, G. Dall'Agata, S. Ferrara, A. Yeranyan,arXiv:0910.2697 • Perturbative and Non-perturbative N =8 Supergravity.M. Bianchi, S. Ferrara, R. Kallosh, Phys.Lett.B690:328-331,2010. • Maurer-Cartan Equations and Black Hole Superpotentials in N = 8 Supergravity.S. Ferrara, A. Marrani, E. Orazi, Phys.Rev.D81:085013,2010. • B.L. Cerchiai, S. Ferrara, A. Marrani, B. Zumino, “Charge Orbits of Extremal Black Holes in Five Dimensional Supergravity” arXiv:1006.3101 • A. Ceresole, S. Ferrara, A. Marrani, “Small N=2 Extremal Black Holes in Special Geometry” arXiv:0905.4633

  5. Quaternionic Kaehler Detour Complexes & N=2 Supersymmetric Black Holes.D. Cherney, E. Latini, A. Waldron, arXiv:1003.2234  • Generalized Einstein Operator Generating Functions.D. Cherney, E. Latini, A. Waldron,Phys.Lett.B682:472-475,2010. • A Special road to AdS vacua D. Cassani, S. Ferrara, A. Marrani, J. F. Morales, H. SamtlebenJHEP 1002:027,2010. • Observations on Arithmetic Invariants and U-Duality Orbits in N =8 Supergravity,M. Bianchi, S. Ferrara, R. Kallosh, JHEP 1003:081,2010. • S. Ferrara, R. Kallosh, A. Linde, A. Marrani, A. Van Proeyen“Jordan Frame Supergravity and Inflation in NMSSM” arXiv:1004.0712 • L. Andrianopoli, R. D'Auria, S. Ferrara, M. Trigiante,“Fake Superpotential for Large and Small Extremal Black Holes” arXiv:1002.4340 • L. Borsten, D. Dahanayake, M.J. Duff, S. Ferrara, A. Marrani, W. Rubens“Observations on Integral and Continuous U-duality Orbits in N=8 Supergravity” arXiv:1002.4223 Selected References MI12 LNF

  6. Stefano Bellucci is the main organizer of the School on Attractor Mechanism INFN-LNF July 2009 We published the Proceedings of the School SAM2007, with the title: The Attractor Mechanism Proceedings of the INFN-Laboratori Nazionali di Frascati School 2007 Series: Springer Proceedings in Physics, Vol. 134 Stefano Bellucci Editor, July 2010

  7. SUPERFIELDS Grant 2009-2014 European Research Council - Advanced Investigator Grant no. 226455 Supersymmetry, Quantum Gravity and Gauge Fields (SUPERFIELDS) Principal Investigator PI: Sergio Ferrara (PH-TH CERN, Geneva, Switzerland) Participants: CERN, European Organization for Nuclear Research, Switzerland (Host Institution), INFN, Istituto Nazionale di Fisica Nucleare, Italy Two members are from MI12, the PI and a team member, S.Bellucci See also : http://superfields.web.cern.ch/Superfields/index.html

  8. INFN Team Members Carlo AngelantonjUniversity & INFN Torino Stefano Bellucci INFN, Frascati National Laboratories Massimo BianchiUniversity & INFN Roma "Tor Vergata“ Anna CeresoleINFN & University Torino Gianguido Dall'AgataUniversity & INFN Padova Jose Francisco Morales MoreraINFN Roma "Tor Vergata“ Massimo PorratiNew York University & INFN Pisa Augusto Sagnotti(Scientist in charge) Scuola Normale Superiore & INFN Pisa

  9. The project aims at investigating some crucial issues in globally supersymmetric and Supergravity theories: 1) perturbative and non-perturbative sources of supersymmetry breaking in the low-energy effective Supergravity description of Superstrings and M-theory. 2) Physics of extremal Black Holes by means of the attractor mechanism, that relates their Entropy to the extrema of an Effective Potential. 3) The holographic (AdS/CFT) correspondence conjectured by Maldacena between (super)conformal Yang-Mills theories and certain (super)gravity theories in Anti De Sitter spaces . 4) A possible link between higher-spin theories and an unbroken phase of Superstring or M-theory

  10. The ERC Advanced Grant Supersymmetry, Quantum Gravity and Gauge Fields will organize a number of "Seminar Days". These "Seminar Days" will include three seminars by distinguished speakers who will be invited to report on their current research, and will take place every other month at the Italian Institutes hosting the members of the research team. Interested people non belonging to the team are also encouraged to participate. The schedule of the "Seminar days" is October 23, 2009: Scuola Normale Superiore, Pisa December 16, 2009: University of Padova, Padova February 12, 2010: INFN-Laboratori Nazionali di Frascati, Frascati May 13, 2010: University of Rome "Tor Vergata", Roma 37 publications April 2009 – June 2010

  11. S. Bellucci A. Shcherbakov, A. Yeranyan organized the Third Joint Seminar of the Grant SUPERFIELDS February 12, 2010

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