Horacio Casini
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View article: Holographic Rényi n → 0 entropy and Euclidean fluids
Holographic Rényi n → 0 entropy and Euclidean fluids Open
A bstract We explore the holographic prescription for computing the refined Rényi entropies $$ {\overset{\sim }{S}}_n $$ in the n → 0 limit within the AdS d +1 /CFT d framework. This limit can be interpreted as a high-temperature reg…
View article: Mutual information from modular flow in CFTs
Mutual information from modular flow in CFTs Open
A bstract The operator product expansion (OPE) of twist operators in the replica trick framework enables a long-distance expansion of the mutual information (MI) in conformal field theories (CFTs). In this expansion, the terms are labeled …
View article: Selection rules for RG flows of minimal models
Selection rules for RG flows of minimal models Open
Minimal d=2 conformal field theories (CFTs) are usually classified through modular invariant partition functions. There is a finer classification of “noncomplete” models when S duality is not imposed. We approach this classification by sta…
View article: Holographic Rényi $n\to 0$ entropy and Euclidean fluids
Holographic Rényi $n\to 0$ entropy and Euclidean fluids Open
We explore the holographic prescription for computing the refined Rényi entropies $\tilde S_n$ in the $n \to 0$ limit within the AdS$_{d+1}$/CFT$_d$ framework. This limit can be interpreted as a high-temperature regime with respect to the …
View article: ABJ anomaly as a U(1) symmetry and Noether’s theorem
ABJ anomaly as a U(1) symmetry and Noether’s theorem Open
The Adler-Bell-Jackiw anomaly determines the violation of chiral symmetry when massless fermions are coupled to an abelian gauge field. In its seminal paper, Adler noticed that a modified chiral U(1) symmetry could still be defined, …
View article: Selection rules for RG flows of minimal models
Selection rules for RG flows of minimal models Open
Minimal d=2 CFTs are usually classified through modular invariant partition functions. There is a finer classification of ``non complete'' models when S-duality is not imposed. We approach this classification by starting with the local chi…
View article: Modular invariance as completeness
Modular invariance as completeness Open
We review the physical meaning of modular invariance for unitary conformal quantum field theories in d=2. For quantum field theory models, while T invariance is necessary for locality, S invariance is not mandatory. S invariance is a form …
View article: Generalized symmetries and Noether’s theorem in $\\mathrm{QFT}$
Generalized symmetries and Noether’s theorem in $\\mathrm{QFT}$ Open
We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact generalized symmetries can be charged under a continuous global symmetry. These results follow fro…
View article: Modular invariance as completeness
Modular invariance as completeness Open
We review the physical meaning of modular invariance for unitary conformal quantum field theories in d=2. For QFT models, while T invariance is necessary for locality, S invariance is not mandatory. S invariance is a form of completeness o…
View article: Standard translation twists and an operator-bounded energy inequality
Standard translation twists and an operator-bounded energy inequality Open
Twist operators implement symmetries in bounded regions of the space. Standard twists are a special class of twists constructed using modular tools. The twists corresponding to translations have interesting special properties. They can mov…
View article: Conformal Bounds in Three Dimensions from Entanglement Entropy
Conformal Bounds in Three Dimensions from Entanglement Entropy Open
The entanglement entropy of an arbitrary spacetime region A in a three-dimensional conformal field theory (CFT) contains a constant universal coefficient, F(A). For general theories, the value of F(A) is minimized when A is a round disk, F…
View article: Standard translation twists and an operator-bounded energy inequality
Standard translation twists and an operator-bounded energy inequality Open
Twist operators implement symmetries in bounder regions of the space. Standard twists are a special class of twists constructed using modular tools. The twists corresponding to translations have interesting special properties. They can mov…
View article: ABJ anomaly as a U(1) symmetry and Noether's theorem
ABJ anomaly as a U(1) symmetry and Noether's theorem Open
The Adler-Bell-Jackiw anomaly determines the violation of chiral symmetry when massless fermions are coupled to an abelian gauge field. In its seminal paper, Adler noticed that a modified chiral U(1) symmetry could still be defined, at the…
View article: Rényi entropies in the $n\to0$ limit and entanglement temperatures
Rényi entropies in the $n\to0$ limit and entanglement temperatures Open
Entanglement temperatures (ET) are a generalization of Unruh temperatures valid for states reduced to any region of space. They encode in a thermal fashion the high energy behavior of the state around a point. These temperatures are determ…
View article: Conformal bounds in three dimensions from entanglement entropy
Conformal bounds in three dimensions from entanglement entropy Open
The entanglement entropy of an arbitrary spacetime region $A$ in a three-dimensional conformal field theory (CFT) contains a constant universal coefficient, $F(A)$. For general theories, the value of $F(A)$ is minimized when $A$ is a round…
View article: Mutual information superadditivity and unitarity bounds
Mutual information superadditivity and unitarity bounds Open
We derive the property of strong superadditivity of mutual information arising from the Markov property of the vacuum state in a conformal field theory and strong subadditivity of entanglement entropy. We show this inequality encodes unita…
View article: Irreversibility, QNEC, and defects
Irreversibility, QNEC, and defects Open
A bstract We first present an analysis of infinitesimal null deformations for the entanglement entropy, which leads to a major simplification of the proof of the C , F and A -theorems in quantum field theory. Next, we study the quantum nul…
View article: Charges in the UV completion of neutral electrodynamics
Charges in the UV completion of neutral electrodynamics Open
A bstract A theory with a non-compact form-symmetry is described by two closed form fields of degrees k and d – k . Effective theory examples are non-linear electrodynamics, a photon field coupled to a neutron field, and a low energy Golds…
View article: Irreversibility, QNEC, and defects
Irreversibility, QNEC, and defects Open
We first present an analysis of infinitesimal null deformations for the entanglement entropy, which leads to a major simplification of the proof of the $C$, $F$ and $A$-theorems in quantum field theory. Next, we study the quantum null ener…
View article: Entropic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi></mml:math> Theorem in General Spacetime Dimensions
Entropic Theorem in General Spacetime Dimensions Open
We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a d-dimensional Lorentzian conformal field theory. We identify the impurity entropy g with the quantum relative entropy in two equivalent way…
View article: Mutual information of generalized free fields
Mutual information of generalized free fields Open
We study generalized free fields (GFF) from the point of view of information measures. We first review conformal GFF, their holographic representation, and the ambiguities in the assignation of algebras to regions that arise in these theor…
View article: Charges in the UV completion of neutral electrodynamics
Charges in the UV completion of neutral electrodynamics Open
A theory with a non-compact form-symmetry is described by two closed form fields of degrees k and d-k. Effective theory examples are non-linear electrodynamics, a photon field coupled to a neutron field, and a low energy Goldstone boson. W…
View article: The entropic $g$-theorem in general spacetime dimension
The entropic $g$-theorem in general spacetime dimension Open
We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a $d$-dimensional Lorentzian conformal field theory. We identify the impurity entropy $g$ with the quantum relative entropy in two equivalent…
View article: Mutual Information of Generalized Free Fields
Mutual Information of Generalized Free Fields Open
We study generalized free fields (GFF) from the point of view of information measures. We first review conformal GFF, their holographic representation, and the ambiguities in the assignation of algebras to regions that arise in these theor…
View article: Tripartite information at long distances
Tripartite information at long distances Open
We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as r^{-6\Delta} , where r is the typical distance between the spheres, and \Delta the lowest primary field dimens…
View article: Generalized symmetries of the graviton
Generalized symmetries of the graviton Open
We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QF…
View article: Generalized symmetries of the graviton
Generalized symmetries of the graviton Open
A bstract We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from …
View article: Lectures on entanglement in quantum field theory
Lectures on entanglement in quantum field theory Open
These notes grew from a series of lectures given by the authors during the last decade. After a brief introduction to quantum information theory tools, they are organized in four chapters covering the following subjects: Entanglement in qu…
View article: Report on scipost_202111_00022v1
Report on scipost_202111_00022v1 Open
We compute the leading term of the tripartite information at long distances for three spheres in a CFT.This falls as r -6∆ , where r is the typical distance between the spheres, and ∆ the lowest primary field dimension.The coefficient turn…