# MI12: Gauge and String Theories S. Bellucci (Resp.), S. Ferrara (Ass

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MI12: Gauge and String Theories S. Bellucci (Resp.), S. Ferrara (Ass

MI12: Gauge and String Theories S. Bellucci (Resp.), S. Ferrara (Ass.), E. Latini (Dott.), S. Krivonos (Osp.), A. Marrani (Bors. PD), V. Ohanyan (Osp.), A. Shcherbakov (Bors. PD), A. Saharian (Oosp.), A. Sutulin (Osp.), A. Yeranyan (Bors. PD) 1 Research Activity The topics covered are current issues in the theory of elementary particle interactions and of the theory of the gravitational force. Most of on-going research is on several aspects of extremal black holes, on their underlying supersymmetry in superstring effective theories, and their behaviour near the horizon, where a flow equation for the scalar fields (attractor mechanism) determines the Bekenstein-Hawking entropy in terms of topological properties of the theory (Ferrara, Kallosh, Strominger). In the study of black-hole evolution toward the horizon, scalar fields get fixed in terms of the electric and magnetic charges, giving rise to the study of “attractor varieties”, which are of mathematical interest in algebraic geometry (Moore). An interesting outcome is the discovery of moduli spaces for non-BPS N=2 attractors, and their classification in terms of coset spaces in the case of special geometries based on symmetric homogeneous manifolds. This investigation has also been performed for all NN>2-extended supergravities, in which also 1/N-BPS attractors exhibit a related moduli space. The interconnection of moduli spaces of black holes and strings in 4, 5 and 6 dimensions has also been studied. Another line of research is the structure of N = 6 supergravity in 4D anti de Sitter space and its holographic connection to 3D Cher-Simons Yang-Mills theories. The main research activity is on the following topics: 1) Study of BPS and non-BPS black hole attractors and their interpretation in the “fake supergravity”; 2) Study of the classes of perturbative quantum corrections to the N=2 Attractor Equations encompassed by modifications of the holomorphic prepotential; 3) Relation between the black brane potential and the entropy function for intersecting branes and their attractors; 4) Structure of N = 6 gauged supergravity at D = 4 and its dual theory with N = 2 supersymmetry; 5) Attractors and extremal black holes in 4-dimensional asymptotically non-flat backgrounds. Active collaborations include: JINR-Dubna, Russia Tomsk Univ. Russia Univ. Hannover, Germany Turin Polytechnic, Italy CERN, Switzerland Annecy, LAPTH, France Valencia U., Spain Prof. Ferrara, a distinguished member of the group, received several awards in 2008: 1) 2008 recipient of an ”Advanced Research Grant” from ERC (European Research Council) in Frontier Research; 2) Recipient of the 2008 Amaldi Medal, European Prize awarded by the The Italian Society of General Relativity and Gravitational Physics (SIGRAV); 3) Miller Visiting Professor Award (Fall 2008), awarded by the Miller Institute for Basic Research in Science, University of California, Berkeley; 4) Gold Medal delivered by the Accademia dei Lincei, Rome, in the occasion of the 2008 Avogadro Lecture (Conferenza Lincea). We published the Proceedings of the School SAM2006, with the title: Supersymmetric Mechanics - Vol. 3: Attractors and Black Holes in Supersymmetric Gravity, Stefano Bellucci Editor, Springer Lecture Notes in Physics 755, November 2008, ISBN: 3540795227, ISBN-13: 9783540795223, 373 pages. We participated as a main node to the Project MRTN-CT-2004-005104 Constituents, Fun- damental Forces and Symmetries of the Universe (Short title: ForcesUniverse), a Marie Curie Research Training Network supported by the European Community’s Sixth Framework Programme and coordinated by Dieter Luest. The network contract was completed on 1st November 2008 after a period of 48 months. Within this network a School was organized at CERN in Geneva, January 21 - 25, 2008, http://www.unine.ch/phys/string/rtn-school/08/index.php and a Workshop was organized at Varna, September 11 - 17, 2008, http://theo.inrne.bas.bg/ dobrev/FU-4.htm with talks by A. Shcherbakov and A. Yeranyan. Another important and related event has been String phenomenology in Frascati 4-8 June 2007, with invited talks by S. Ferrara and S. Bellucci on N>2 attractors and N=2 attractors respectively. We coordinate an INTAS project “Extended supersymmetry, strings and noncommutativity in field theory”, involving a consortium of 12 international Institutions, with duration of 30 months starting Nov. 2006, until October 2009. 2 List of Conference Talks 1. S. Ferrara, Frascati LNF workshop on “Strings and Strong Interactions”, September 2008. 2. S. Ferrara, International school of Subnuclear Physics, 45th Course on “Searching for the totally unexpected in the LHC era”, Erice, Italy, August 2008. 3. S. Ferrara, UCLA Conference on “Symmetry in Mathematics and Physics”, January 2008. 4. S. Ferrara, Meeting of the INFN Networks MI12, PI14, TS11 and TV12, “Theories of the fundamental interactions”, Villa Mondragone, Monte Porzio Catone (Rome), June 2008. 5. A. Shcherbakov,“N = 4 Superconformal Mechanics and Black Holes”, 4-th EU RTN Workshop, Constituents, Fundamental Forces and Symmetries of the Universe, Varna (Bulgaria), 12 September 2008. 6. A. Shcherbakov, “Supersymmetric and conformal aspects of the attractor mechanism”, talk at the University of Torino, 29 April 2008. 7. A. Shcherbakov, “Black Holes, Geometry and Quantum Corrections”, International School of Subnuclear Physics 46th Course, Erice (Italy), 29 Aug - 7 Sep 2008. 8. A. Yeranyan, “The STU Black Holes and Beyond”, 4-th EU RTN Workshop, Constituents, Fundamental Forces and Symmetries of the Universe, Varna (Bulgaria), 12 September 2008. 9. A. Yeranyan, “Generalized potential for black hole attractors”, International School of Subnuclear Physics 46th Course, Erice (Italy), 29 Aug - 7 Sep 2008. References 1. S. Bellucci, S. Krivonos, A. Shcherbakov, and A. Sutulin, Phys. Rev. D 78, 125001 (2008). 2. S. Bellucci, S. Krivonos, O. Lechtenfeld, and A. Shcherbakov. Phys. Rev. D 77 045026 (2008). 3. S. Bellucci, S. Ferrara, A. Marrani, and A. Yeranyan. Phys. Rev. D 77, 085027 (2008). 4. S. Bellucci, D. O’Reilly, Phys. Lett. B 666, 193 (2008). 5. S. Bellucci, S. Krivonos, and A. Sutulin, Nucl. Phys. B 805, 24 (2008). 6. S. Ferrara and A. Marrani, Nucl. Phys. B 788, 63 (2008). 7. S. Bellucci, S. Ferrara, and A. Marrani, Fortsch. Phys. 56, 761 (2008). 8. G. Iovane, S. Bellucci, and E. Benedetto, Chaos, Solitons Fractals 37, 49 (2008). 9. S. Bellucci and A. A. Saharian, Phys. Rev. D 77, 124010 (2008). 10. S. Bellucci, V. Ohanyan. Phys. Lett. A 372, 5765 (2008). 11. S. Bellucci, S. Ferrara, R. Kallosh, and A. Marrani, Lect. Notes Phys. 755, 115 (2008). 12. S. Bellucci, S. Ferrara, A. Marrani, and A. Shcherbakov, JHEP 0802, 088 (2008). 13. S. Bellucci, S. Ferrara, A. Marrani, and A. Yeranyan, Entropy 10, 507 (2008); arXiv:0807.3503. 14. S. Ferrara, A.Gnecchi, and A. Marrani, Phys. Rev. D 78, 065003 (2008). 15. S. Ferrara, K. Hayakawa, and A. Marrani, Fortsch. Physik, 54, 956 (2008). 16. F. Bastianelli, O. Corradini, and E. Latini, JHEP 0811, 054 (2008).