Curriculum Vitæ Family Name: First Name: Date and place of birth: Nationality: Languages: Present Position: Address for correspondence: e-mail Address: Sommovigo Luca June 4th, 1974, Acqui Terme (AL), Italy Italian Italian (own language), English (fluent), French (basic) Post-Doc at the Politecnico di Torino, Torino, Italy Dipartimento di Fisica, Politecnico di Torino C.so Duca degli Abruzzi, 24 10129 Torino, Italy luca.sommovigo@polito.it Education and Qualifications Dec. 10th, 1999: University Degree (Laurea) in Physics at the Piemonte Orientale University of Alessandria with full marks and honors Supervisor : Prof. Leonardo Castellani (Piemonte Orientale University) Title of the Thesis : New Compactifications of chiral N=2 D=10 supergravity March 2000: Ph.D. examination entrance at University of Torino. Ph.D. courses attended: Renormalization of gauge theories (Prof. G. Passarino); Group Theory (Prof P. Frè); Conformal Field Theories (Prof. M. Caselle); Non Commutative Theories (Prof. L. Bonora); An Introduction to String Theory (Prof. P. Di Vecchia). Jan. 23rd, 2003: Ph.D. Degree in Physics. Supervisor: Prof. Leonardo Castellani Title of the Thesis: Gauge/Gravity correspondence and Penrose limits. Jan. 1st, 2003 Oct. 31st, 2004 Post Doctoral position at the Politecnico di Torino. Feb. 1st, 2005 Jan. 31st, 2006 Post Doctoral position at the Politecnico di Torino. Teaching Activities 2003: Tutor for the class of Fisica Generale I at Politecnico di Torino.
2004: Tutor for the class of Fisica Generale II at Politecnico di Torino. 2005: Tutor for the class of Fisica Generale I at Politecnico di Torino. 2005: Tutor for the class of Fisica Generale II at Politecnico di Torino.
Conferences VIII Seminario Nazionale di Fisica Teorica, Parma, Aug. 30 Sept. 10, 1999. European RTN Network School, Università di Torino, Feb. 1 8, 2000. Convegno annuale Problemi attuali di Fisica Teorica, IIASS E. Caianiello Vietri su mare (SA), Apr. 14 20, 2000. Convegno Informale di Fisica Teorica, Cortona, May 31 June 3, 2000 Brane New World and NC Geometry, Villa Gualino (Torino), Oct. 2 7, 2000. European RTN Network School, IHP Paris, Feb. 1 8, 2001. He gave a seminar entitled Supersymmetric domain wall * G/H solution of type IIB supergravity at Convegno informale di Fisica Teorica, Cortona, May 30 June 2, 2001. European RTN meeting. The Quantum Structure of Spacetime and geometrical nature of fundamental interactions, Corfu, Sept. 13 21, 2001. European RTN school. The Quantum Structure of Spacetime and geometrical nature of fundamental interactions, Utrecht, Jan. 17 22, 2002. Andrejewski Lectures on D-branes and solitons by Prof. A. Sen, Humboldt University, Berlin, Mar. 5 8, 2002 Convegno informale di Fisica Teorica, Cortona, May 29 June 1, 2002. European RTN school. The Quantum Structure of Spacetime and geometrical nature of fundamental interactions, Torino, Jan. 7 11, 2003. Spring school on superstring theory and related topics, at ICTP (Trieste) - April 2003. He gave a seminar entitled Penrose limit of a IIG supersymmetric background and the spectrum of the associated sigma model at Convegno informale di Fisica Teorica, Cortona, May 28 31, 2003. Summer school on mathematics in string and field theory, at ICTP (Trieste) - June 2003. European RTN meeting. The Quantum Structure of Spacetime and geometrical nature of fundamental interactions, Copenhagen, Sep. 15 20, 2003. RTN Winter School on Strings, Supergravity and Gauge Fields, Barcelona, 12 16 January 2004 Spring school on superstring theory and related topics, at ICTP (Trieste) - March, 15 23 2004. Convegno informale di Fisica Teorica, Cortona, May 26 29, 2004. RTN Winter School on Strings, Supergravity and Gauge Fields, at SISSA, Trieste, 31 Jan. 4 Feb. 2005 Spring school on superstring theory and related topics, at ICTP (Trieste) - 14 22 March 2005.
Convegno informale di Fisica Teorica, Cortona, May 25 28, 2005. Varia Course: An introduction to econophysics (Dr. A Pastorello), Mar. May 2001, Università di Torino Collaboration with SEI Casa Editrice for the CD Rom La fisica della realtà quotidiana addressed to secondary school students, 2001. Collaboration in building the www site Fisica in linea of the Politecnico di Torino, addressed to university students, http://www.polito.it/fil/, 2005 Collaboration in organizing the exhibition La relatività nel quotidiano, dal GPS al sistema Galileo, at Politecnico di Torino, 17 22 Oct. 2005.
Research Interests My research activity begun with the laurea degree thesis, under the supervision of Prof. L. Castellani (Università del Piemonte Orientale), where I studied, by means of algebraic techniques, the geometry of a set of 7 dimensional coset manifolds, and whose results are placed in a more general framework, in which a new class of solutions of IIB supergravity was studied; during my Ph.D. I focused my attention on the relation between quantum or conformal field theories and theories describing gravity in various regimes, such as superstring and brane theories and their low energy limit: supergravity. In the first year of Ph.D., my research activity was principally devoted to AdS/CF T conjecture [1, 2], explored on gravity side; in particular, in collaboration with Prof. L. Castellani, I found new supersymmetric solutions of type IIB supergravity which are the direct product of a 3 dimensional AdS space time and a generic 7 dimensional coset manifold G/H. The importance of this class of solutions is twofold: on the one hand they lead to new consistent supersymmetric compactifications of type IIB supergravity and, on the other hand, they can be seen as a good way to test Maldacena conjecture, due to the complete knowledge of correlators of any minimal 2-dimensional CF T ; this led to the publication of a paper [ ]. During the second year of Ph.D., my interest shifted towards the so called DW/QF T duality conjecture [3]: a generalization of AdS/CF T correspondence in which the gravitational backgrounds are no more constant, due to the presence of a non trivial dilaton, and hence the corresponding field theories are no more conformally invariant; in this framework, using some of the techniques developed in the preparation of the preceding paper, in collaboration with Prof. L. Castellani, I worked out new solutions of type IIB supergravity consisting of a warped product of a 3 dimensional DW times a compact coset manifold, together with the conditions needed to preserve some supersymmetry in the compactification [ ]. Then, during the last year of Ph.D., my attention was devoted both to the study of the new supersymmetric backgrounds of supergravity [4], and to the new dualities conjectured between pp waves and a certain sector of CF T, as a limit of AdS/CF T correspondence, according to the original idea by Berenstein, Maldacena and Nastase [6]. The background of [4] are particularly interesting because they give rise to superstring σ model always solvable [5] and hence are the natural playground to test gauge/gravity correspondence in full string theory and not only in low energy supergravity approzimation. In particular I focused on the study of the Penrose limit of a IIB background of the type AdS 3 S 3 S 3 S 1 studying both its geometrical properties, as a self consistent supersymmetric solution of IIB supergravity, its supersymmetry content, examining Killing spinor equations and their deformation after the limit and, from a group theoretical point of view, the basic characteristics of the conjectured dual CF T sector [ ]. During the first year at the Politecnico di Torino, I have collaborated with Prof. R. D Auria, Dr. G. Dall Agata (Humboldt Universität of Berlin) and Dr. S. Vaulà (Politecnico di Torino) on the study of N = 2 D = 4 supergravity implemented with massive tensor multiplets. It is well known that type II string theories compactified on Calabi Yau manifolds down to four dimensions, generate effective theories which can be described by means of N = 2 supergravity coupled to matter fields; these theories naturally contain tensor multiplets but, due to the duality relations which hold in four dimensions between tensors and scalars, one can use only the standard description in terms of hyperscalars. When, in addition to the metric, one gives non trivial expectation values to the other fields of the 10 dimensional theory, the effective 4 dimensional supergravity is deformed, and various fields become massive: among these there are the tensors, which one can no more dualize to scalars. These deformations are usually described by gauged supergravities, but the descriptions previously provided [7] do not include massive tensors, and hence it is difficult to establish their relations to flux compactifications of type II strings: for this reason we have written down the general expression
for N = 2 supergravity coupled to tensor multiplets and its gauging [ ]. Then, in collaboration with Dr. S. Vaulà, we have discussed the relation between standard N = 2 supergravity with gauging of translational isometries and N = 2 supergravities coupled to a scalar tensor multiplet with massive tensors and Abelian electric charges. The most general scalar potential we have constructed accomodates both electric and magnetic charges and is manifestly invariant under symplectic electric/magnetic duality transformations, this result can have interesting applications also in cosmology, as recently pointed out by Kallosh [9]. We have moreover shown that a symplectic covariant formulation of N = 2 supergravity can be achieved in the presence of tensor multiplets. Deepening our analysis, we have demonstrated that the formulation of the N = 2 theory as it comes from type IIB flux compactification is equivalent to a non perturbative phase of standard N = 2 supergravity, and that type IIB tadpole cancellation condition comes naturally in four dimensions as a consequence of supersymmetry [ ]. Subsequently, in collaboration with Prof. R. D Auria and Dr. S. Vaulà [ ], we have derived, by means of geometrical methods, the full N = 2 supergravity lagrangian coupled to n V vector multiplets and a tensor multiplet, which contains a symplectic invariant scalar potential, expressed in terms of electric and magnetic charges. As was lready shown in [ ], the appearance of magnetic charges is allowed only if tensor multiplets are present and a suitable Fayet Iliopoulos term is included in the fermion transformation laws. The procedure developed in the quoted reference has moreover been generalized by adding further a Fayet Iliopoulos term which allows the introduction of electric charges, so that the potential and the equations of motion of the theory are symplectic invariant. I have then studied, following the idea of [8], the duality between massive D tensors coupled to vectors, whose masses are given by an arbitrary number of electric and magnetic charges, and (D 1) massive tensors in an arbitrary number 2D of dimensions, thus generalizing the well-known 4 dimensional duality between massive 2 form tensors and massive vectors. Finally I have shown that, dualizing the massive tensors of [ ] to massive vectors and then reinterpreting the latter as massless scalars and vectors via a Stückelberg mechanism, one finds a standard N = 2 Lagrangian with a purely electric gauging, in which all the symplectic sections and the period matrix have been acted on by the symplectic transformation that rotates the electric magnetic charges vector to a purely electric one [ ]. Presently, in collaboration with Prof. R. D Auria and L. Andrianopoli, I am working on Poincaré dualization of the scalars in the vector multiplets in 4 dimensional gauged supergravity, and, together with S. Vaulà, on black holes in supergravity models with tensor fields. List of Scientific Publications L. Castellani, L. Sommovigo, New AdS(3) x G/H compactifications of chiral IIB supergravity, JHEP 0007 (2000) 044, [arxiv:hep-th/0003102]. L. Castellani, L. Sommovigo, Supersymmetric domain wall x G/H solutions of IIB supergravity, [arxiv:hep-th/0104194]. L. Sommovigo, Penrose limit of AdS(3) x S**3 x S**3 x S**1 and its associated sigmamodel, JHEP 0307 (2003) 035, [arxiv:hep-th/0305151]. R. D Auria, G. Dall Agata, L. Sommovigo and S. Vaula, D = 4, N = 2 gauged supergravity in the presence of tensor multiplets, Nucl. Phys. B 682 (2004) 243, [arxiv:hep-th/0312210]. L. Sommovigo and S. Vaula, D = 4, N = 2 supergravity with Abelian electric and magnetic charge, Phys. Lett. B 602 (2004) 130 [arxiv:hep-th/0407205].
R. D Auria, L. Sommovigo and S. Vaula, N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes, JHEP 0411 (2004) 028 [arxiv:hepth/0409097]. L. Sommovigo, Poincare dual of D = 4 N = 2 supergravity with tensor multiplets, Nucl. Phys. B 716 (2005) 248 [arxiv:hep-th/0501048]. References [1] J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [arxiv:hep-th/9711200]. [2] O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [arxiv:hep-th/9905111]. [3] H. J. Boonstra, K. Skenderis and P. K. Townsend, The domain wall/qft correspondence, JHEP 9901 (1999) 003 [arxiv:hep-th/9807137]. [4] M. Blau, J. Figueroa-O Farrill, C. Hull and G. Papadopoulos, A new maximally supersymmetric background of IIB superstring theory, JHEP 0201 (2002) 047 [arxiv:hep-th/0110242]. [5] R. R. Metsaev, Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70 [arxiv:hep-th/0112044]. [6] D. Berenstein, J. M. Maldacena and H. Nastase, Strings in flat space and pp waves from N = 4 super Yang Mills, JHEP 0204 (2002) 013 [arxiv:hep-th/0202021]. [7] L. Andrianopoli, M. Bertolini, A. Ceresole, R. D Auria, S. Ferrara, P. Fre and T. Magri, N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [arxiv:hepth/9605032]. [8] R. D Auria and S. Ferrara, Dyonic masses from conformal field strengths in D even dimensions, Phys. Lett. B 606, 211 (2005) [arxiv:hep-th/0410051]. [9] R. Kallosh, Flux vacua as supersymmetric attractors, [arxiv:hep-th/0509112].