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23 Result(s)
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Francesco Fucito
Quantum Physics
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Article
Open AccessTidal resonances for fuzzballs
We study the gravitational tidal response of D1D5, Top Star and (1,0,n) strata horizonless geometries. We find that the tidal interactions in fuzzball geometries, unlike in the case of black holes, exhibits a ...
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Article
Open AccessPost Newtonian emission of gravitational waves from binary systems: a gauge theory perspective
Using the AGT correspondence and localization, we derive a combinatorial formula for the Post-Newtonian expansion of the wave form describing the gravitational emission from binary systems made of objects of e...
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Article
Open AccessOn irregular states and Argyres-Douglas theories
Conformal theories of the Argyres-Douglas type are notoriously hard to study given that they are isolated and strongly coupled thus lacking a lagrangian description. In flat space, an exact description is prov...
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Article
Open AccessPartition functions of non-Lagrangian theories from the holomorphic anomaly
The computation of the partition function in certain quantum field theories, such as those of the Argyres-Douglas or Minahan-Nemeschansky type, is problematic due to the lack of a Lagrangian description. In th...
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Article
Open AccessCFT description of BH’s and ECO’s: QNMs, superradiance, echoes and tidal responses
Using conformal field theory and localization tecniques we study the propagation of scalar waves in gravity backgrounds described by Schrödinger like equations with Fuchsian singularities. Exact formulae for t...
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Article
Open AccessStrings in bubbling geometries and dual Wilson loop correlators
We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in
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Article
Exact results in \( \mathcal{N}=2 \) gauge theories
We derive exact formulae for the partition function and the expectation values of Wilson/’t Hooft loops, thus directly checking their S-duality transformations. We focus on a special class of
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Article
U-folds as K3 fibrations
We study \( \mathcal{N}=2 \) four-dimensional flux vacua describing intrinsic non- perturbative systems of 3 and 7 bran...
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Article
Deformed Seiberg-Witten curves for ADE quivers
We derive Seiberg-Witten like equations encoding the dynamics of \( \mathcal{N}=2 \) ADE quiver gauge theories in presence of a non-trivial Ω-background along a two dimensional p...
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Book
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Chapter
Kinetic Physics
Determine the number of particle-wall collisions per unit area for an ideal quantum gas composed of N independent particles inside a cubic container of volume V. Treat the general case with a single particle ener...
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Chapter
Fermi-Dirac Gases
An atomic nucleus of Helium consists of a gas of 0.18 nucleons in a volume of 1 fm3 (1fm = 10−13cm). In this system, we can find two kinds of nucleons (protons And neutrons) with spin S=1/2 and their masses, m ...
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Chapter
Central Force Field
Let us consider a particle subject to the following three dimensional harmonic potential $$U\left( r \right) = \frac{{M{\omega ^2}{r^2...
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Chapter
Grand Canonical Ensemble
A gas is in contact with a surface. On the surface we find N 0 localized and distinguishable sites adsorbing N (N≤N 0) molecules of the gas (each site can adsorb zero or one molecu...
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Chapter
Bose-Einstein Gases
Consider a three dimensional gas of bosons with spin 0 and single particle energy given by $$\varepsilon = \frac{{{p^2}}}{{2m}}$$ ...
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Chapter
Angular Momentum and Spin
Determine the uncertainty relations between the orbital angular momentum $$\hat L = \left( {{{\hat L}_x},{{\hat L}_y},{{\hat L}_z}} \r...
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Chapter
Perturbation Theory and WKB Method
A plane rigid rotator has the following Hamiltonian $${\hat H_0} = \frac{{\hat L_z^2}}{{2I}}$$ where I is the momentu...
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Chapter
Canonical Ensemble
A classical gas in a volume V is composed of N independent and indistinguishable particles. The single particle Hamiltonian is $$H = \...
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Chapter
Formalism of Quantum Mechanics and One Dimensional Problems
Let Â=† be an observable operator with a complete set of eigenstates |ϕ n 〉 with eigenvalues α n (n=0, 1, 2,...). A generic state is given by
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Chapter
Thermodynamics and Microcanonical Ensemble
We know that the free energy F(T,V,N) of a thermodynamic system is extensive. Show that $$N{\left( {\frac{{\partial F}}{{\partial N}}}...
