Guanda Lin
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View article: Generalized entropy of gravitational fluctuations
Generalized entropy of gravitational fluctuations Open
A bstract The corrections to holographic entanglement entropy from bulk quantum fields in a classical gravitational background are now well understood. They lead, in particular, to unitary Page curves for evaporating black holes. However, …
View article: The evaporation of black holes in supergravity
The evaporation of black holes in supergravity Open
A bstract In supergravity, charged rotating black holes are generically driven towards becoming extremal and supersymmetric through the emission of Hawking radiation. Eventually, as the black hole approaches the BPS bound and is close to b…
View article: How the Hilbert space of two-sided black holes factorises
How the Hilbert space of two-sided black holes factorises Open
A bstract In AdS/CFT, two-sided black holes are described by states in the tensor product of two Hilbert spaces associated with the two asymptotic boundaries of the spacetime. Understanding how such a tensor product arises from the bulk pe…
View article: Generalized entropy of photons in AdS
Generalized entropy of photons in AdS Open
A bstract This work analyzes the quantum corrections to holographic entanglement entropy at first subleading order in G N due to photon excited states in AdS. We compute the vacuum-subtracted von Neumann entropy of a U(1) current excited s…
View article: The evaporation of black holes in supergravity
The evaporation of black holes in supergravity Open
In supergravity, charged rotating black holes are generically driven towards becoming extremal and supersymmetric through the emission of Hawking radiation. Eventually, as the black hole approaches the BPS bound and is close to becoming su…
View article: How the Hilbert space of two-sided black holes factorises
How the Hilbert space of two-sided black holes factorises Open
In AdS/CFT, two-sided black holes are described by states in the tensor product of two Hilbert spaces associated with the two asymptotic boundaries of the spacetime. Understanding how such a tensor product arises from the bulk perspective …
View article: A high-precision result for a full-color three-loop three-point form factor in $$ \mathcal{N} $$ = 4 SYM
A high-precision result for a full-color three-loop three-point form factor in $$ \mathcal{N} $$ = 4 SYM Open
A bstract We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in $$ \mathcal{N} $$ = 4 SYM. Both the leading-color and sub-leading-color form factors are expanded in terms…
View article: Double copy for tree-level form factors. Part I. Foundations
Double copy for tree-level form factors. Part I. Foundations Open
A bstract The double-copy construction for form factors was reported in our previous work, in which a novel mechanism of turning spurious poles in Yang-Mills theory into physical poles in gravity is observed. This paper is the first of a s…
View article: Double copy for tree-level form factors. Part II. Generalizations and special topics
Double copy for tree-level form factors. Part II. Generalizations and special topics Open
A bstract Both the Bern, Carrasco, and Johansson (BCJ) and the Kawai, Lewellen, and Tye (KLT) double-copy formalisms have been recently generalized to a class of scattering matrix elements (so-called form factors) that involve local gauge-…
View article: Revisiting the second order formalism of JT gravity
Revisiting the second order formalism of JT gravity Open
We revisit the gravity path integral formalism of JT gravity. We explain how to gauge fix the path integral in the presence of asymptotic boundaries and conical defects, and resolve an ambiguity regarding the dilaton gravity operator that …
View article: A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM
A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM Open
We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in ${\cal N}=4$ SYM. Both the leading-color and non-leading-color form factors are expanded in terms of simple integrals.…
View article: Double copy for tree-level form factors. Part II. Generalizations and special topics
Double copy for tree-level form factors. Part II. Generalizations and special topics Open
Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye (KLT) double-copy formalisms have been recently generalized to a class of scattering matrix elements (so-called form factors) that involve local gauge-invariant op…
View article: Kinematic Hopf algebra for amplitudes and form factors
Kinematic Hopf algebra for amplitudes and form factors Open
We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with bi-adjoint scalars. The algebraic generators of the algebra contain two parts: the …
View article: New relations for tree-level form factors and scattering amplitudes
New relations for tree-level form factors and scattering amplitudes Open
A bstract We show that tree-level form factors with length-two operators in Yang-Mills-scalar (YMS) theory exhibit structures very similar to scattering amplitudes of gluons and scalars, which leads to new relations between them. Just like…
View article: Double Copy of Form Factors and Higgs Amplitudes: A Mechanism for Turning Spurious Poles in Yang-Mills Theory into Physical Poles in Gravity
Double Copy of Form Factors and Higgs Amplitudes: A Mechanism for Turning Spurious Poles in Yang-Mills Theory into Physical Poles in Gravity Open
We extend the double-copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge-invariant operators. Both the Bern, Carrasco, and Johansson (BCJ) and the Kawai, Lewellen, and Tye f…
View article: Double copy for tree-level form factors. Part I. Foundations
Double copy for tree-level form factors. Part I. Foundations Open
The double-copy construction for form factors was reported in our previous work, in which a novel mechanism of turning spurious poles in Yang-Mills theory into physical poles in gravity is observed. This paper is the first of a series of t…
View article: Kinematic Hopf algebra for amplitudes and form factors
Kinematic Hopf algebra for amplitudes and form factors Open
We propose a kinematic algebra for the Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes and form factors in Yang-Mills theory coupled with bi-adjoint scalars. The algebraic generators of the algebra contain two parts: the …
View article: New relations for tree-level form factors and scattering amplitudes
New relations for tree-level form factors and scattering amplitudes Open
We show that tree-level form factors with length-two operators in Yang-Mills-scalar (YMS) theory exhibit structures very similar to scattering amplitudes of gluons and scalars, which leads to new relations between them. Just like amplitude…
View article: Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes Open
We compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through $\mathcal{O}(G^3)$ to all orders in velocity, including linear and quadratic spin terms. To obtain our results we calculate the …
View article: Full-color three-loop three-point form factors in 𝒩 = 4 SYM
Full-color three-loop three-point form factors in 𝒩 = 4 SYM Open
A bstract We present the detailed computation of full-color three-loop three-point form factors of both the stress-tensor supermultiplet and a length-three BPS operator in 𝒩 = 4 SYM. The integrands are constructed based on the color-kinema…
View article: Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM
Color-Kinematics Duality and Dual Conformal Symmetry for A Four-loop Form Factor in N=4 SYM Open
We obtain the full-color four-loop three-point form factor of the stress-tensor supermultiplet in N=4 SYM, based on the color-kinematics (CK) duality and generalized unitarity method. The CK-dual solution, while manifesting all dual Jacobi…
View article: Double Copy of Form Factors and Higgs Amplitudes: A mechanism of turning spurious poles in Yang-Mills into physical poles in gravity
Double Copy of Form Factors and Higgs Amplitudes: A mechanism of turning spurious poles in Yang-Mills into physical poles in gravity Open
We extend the double copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge invariant operators. Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye (KL…
View article: Full-color three-loop three-point form factors in N=4 SYM
Full-color three-loop three-point form factors in N=4 SYM Open
We present the detailed computation of full-color three-loop three-point form factors of both the stress-tensor supermultiplet and a length-three BPS operator in N=4 SYM. The integrands are constructed based on the color-kinematics (CK) du…
View article: Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations
Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations Open
We obtain full-color three-loop three-point form factors of the stress-tensor supermultiplet and also of a length-3 half-BPS operator in N=4 SYM based on the color-kinematics duality and on-shell unitarity. The integrand results are verifi…
View article: Three-loop color-kinematics duality: A 24-dimensional solution space\n induced by new generalized gauge transformations
Three-loop color-kinematics duality: A 24-dimensional solution space\n induced by new generalized gauge transformations Open
We obtain full-color three-loop three-point form factors of the stress-tensor\nsupermultiplet and also of a length-3 half-BPS operator in N=4 SYM based on the\ncolor-kinematics duality and on-shell unitarity. The integrand results are\nver…
View article: Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality Open
A bstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly foc…