Alessandro Vichi

Bootstrapping traceless symmetric O(N) scalars

Alessandro Vichi, Maria Refinetti, Marten Jan Reehorst

We use numerical bootstrap techniques to study correlation functions of traceless sym-metric tensors of O(N) with two indices ti j. We obtain upper bounds on operator dimen-sions for all the relevant representations and several values of N. We discover sev ...

SCIPOST FOUNDATION2023

Bootstrapping mixed correlators in N=4 super Yang-Mills

Andrea Manenti, Alessandro Vichi

We perform a numerical bootstrap study of the mixed correlator system containing the half-BPS operators of dimension two and three in N = 4 Super Yang-Mills. This setup improves on previous works in the literature that only considered single correlators of ...

Springer Nature2021

Bootstrapping Heisenberg magnets and their cubic instability

Alessandro Vichi, Ning Su

We study the critical O(3) model using the numerical conformal bootstrap. In particular, we use a recently developed cutting-surface algorithm to efficiently map out the allowed space of conformal field theory data from correlators involving the leading O( ...

American Physical Society2021

Implications of ANEC for SCFTs in four dimensions

Andrea Manenti, Alessandro Vichi

We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions Delta of operators in four-dimensional N = 1 superconformal field theories. We show that in many cases the ANEC bounds are stronger than the corresponding unitarity ...

Springer Nature2020

Carving out OPE space and precise O(2) model critical exponents

Alessandro Vichi, Ning Su

We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite progr ...

Springer Nature2020

Mixed scalar-current bootstrap in three dimensions

Alessandro Vichi, Marten Jan Reehorst

We study the mixed system of correlation functions involving a scalar field charged under a global U(1) symmetry and the associated conserved spin-1 current J(mu). Using numerical bootstrap techniques we obtain bounds on new observables not accessible in t ...

Springer Nature2020

Fermion conformal bootstrap in 4d

Denis Karateev, Alessandro Vichi

We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients, including bounds on operators in mixed symmetry representatio ...

Springer Nature2019

Charting the space of 3D CFTs with a continuous global symmetry

João Miguel Augusto Penedones Fernandes, Alessandro Vichi

We study correlation functions of a conserved spin-1 current J in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point functions and the four p ...

Springer Nature2019

R-current three-point functions in 4d N=1 superconformal theories

Andrea Manenti, Alessandro Vichi

In 4d N = 1 superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara-Zumino multiplet. In this work we study the most general form of three-point fu ...

Springer Nature2018

Alessandro Vichi

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Bootstrapping traceless symmetric O(N) scalars

Bootstrapping mixed correlators in N=4 super Yang-Mills

Bootstrapping Heisenberg magnets and their cubic instability

Implications of ANEC for SCFTs in four dimensions

Carving out OPE space and precise O(2) model critical exponents

Mixed scalar-current bootstrap in three dimensions

Fermion conformal bootstrap in 4d

The conformal bootstrap: Theory, numerical techniques, and applications

Charting the space of 3D CFTs with a continuous global symmetry

R-current three-point functions in 4d N=1 superconformal theories

Bootstrapping traceless symmetric O(N) scalars

Bootstrapping mixed correlators in N=4 super Yang-Mills

Bootstrapping Heisenberg magnets and their cubic instability

Implications of ANEC for SCFTs in four dimensions

Carving out OPE space and precise O(2) model critical exponents

Mixed scalar-current bootstrap in three dimensions

The conformal bootstrap: Theory, numerical techniques, and applications

Fermion conformal bootstrap in 4d

Charting the space of 3D CFTs with a continuous global symmetry

R-current three-point functions in 4d N=1 superconformal theories