Davide Bonomi
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View article: Dispersion relation from Lorentzian inversion in 1d CFT
Dispersion relation from Lorentzian inversion in 1d CFT Open
A bstract Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given …
View article: Dispersion relation from Lorentzian inversion in 1d CFT
Dispersion relation from Lorentzian inversion in 1d CFT Open
Starting from the Lorentzian inversion formula, we derive a dispersion relation which computes a four-point function in 1d CFTs as an integral over its double discontinuity. The crossing symmetric kernel of the integral is given explicitly…
View article: Analytic bootstrap for magnetic impurities
Analytic bootstrap for magnetic impurities Open
A bstract We study the O(3) critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the ε -expansion. First, we extend by one order in pertur…
View article: Analytic bootstrap for magnetic impurities
Analytic bootstrap for magnetic impurities Open
We study the $O(3)$ critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the $\varepsilon$-expansion. First, we extend by one order in per…
View article: Conformal dispersion relations for defects and boundaries
Conformal dispersion relations for defects and boundaries Open
We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product expans…
View article: Report on 2205.09775v2
Report on 2205.09775v2 Open
We derive a dispersion relation for two-point correlation functions in defect conformal field theories.The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product expansi…
View article: Analytic bootstrap for the localized magnetic field
Analytic bootstrap for the localized magnetic field Open
We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in th…
View article: Conformal dispersion relations for defects and boundaries
Conformal dispersion relations for defects and boundaries Open
We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product expans…