Stefano Bellucci

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These lectures provide a pedagogical, introductory review of the so-called Attractor Mechanism (AM) at work in two different 4-dimensional frameworks: extremal black holes in N = 2 supergravity and N = 1 flux compactifications. In the first case, AM determines the stabilization of scalars at the black hole event horizon purely in terms of the electric and(More)
We derive the coherent state representation of the integrable spin chain Hamil-tonian with symmetry group SL(2,R). By passing to the continuum limit, we find a spin chain sigma model describing a string moving on the hyperboloid SL(2,R)/U(1). The same sigma model is found by considering strings rotating with large angular momentum in AdS 5 × S 5. The(More)
We study spin models underlying the non-planar dynamics of N = 4 SYM gauge theory. In particular, we derive the non-local spin chain Hamiltonian generating dilatations in the gauge theory at leading order in g 2 YM N but exact in 1 N. States in the spin chain are characterized by a spin-configuration and a linking variable describing how sites in the chain(More)
We study the critical points of the black hole scalar potential V BH in N = 2, d = 4 supergravity coupled to n V vector multiplets, in an asymptotically flat extremal black hole background described by a 2 (n V + 1)-dimensional dyonic charge vector and (complex) scalar fields which are coordinates of a special Kähler manifold. For the case of homogeneous(More)
We report on recent advances in the study of critical points of the " black hole effective potential " V BH (usually named attractors) of N = 2, d = 4 supergravity coupled to n V Abelian vector multiplets, in an asymptotically flat extremal black hole background described by 2n V + 2 dyonic charges and (complex) scalar fields which are coordinates of an n(More)
We study black hole attractor equations for one-(complex structure)modulus Calabi-Yau spaces which are the mirror dual of Fermat Calabi-Yau threefolds (CY 3 s). When exploring non-degenerate solutions near the Landau-Ginzburg point of the moduli space of such 4-dimensional compactifications, we always find two species of extremal black hole attractors,(More)
We study the attractor equations for a quantum corrected prepotential F = t 3 + iλ, with λ ∈ R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the " magnetic " charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing λ). For a(More)