Silence of Binary Kerr Black Holes.

A nontrivial S matrix generally implies a production of entanglement: starting with an incoming pure state, the scattering generally returns an outgoing state with nonvanishing entanglement entropy. It is then interesting to ask if there exists a nontrivial S matrix that generates no entanglement. In this Letter, we argue that the answer is the S-matrix for the scattering of classical black holes. We study the spin entanglement in the scattering of arbitrary spinning particles. Augmenting the S-matrix with Thomas-Wigner rotation factors, we derive the entanglement entropy from the gravitational induced 2→2 amplitude. In the Eikonal limit, we find that the relative entanglement entropy, defined here as the difference between the entanglement entropy of the in and out states, is nearly zero for minimal coupling irrespective of the in state and increases significantly for any nonvanishing spin multipole moments. This finding suggests that minimal couplings of spinning particles, whose classical limit corresponds to a Kerr black hole, have the unique feature of generating near zero entanglement.

Dualities for Ising Networks.

In this Letter, we study the equivalence between planar Ising networks and cells in the positive orthogonal Grassmannian. We present a microscopic construction based on amalgamation, which establishes the correspondence for any planar Ising network. The equivalence allows us to introduce two recursive methods for computing correlators of Ising networks. The first is based on duality moves, which generate networks belonging to the same cell in the Grassmannian. This leads to fractal lattices where the recursion formulas become the exact renormalization group equations of the effective couplings. The second, we use an amalgamation in which each iteration doubles the size of the seed lattice. This leads to an efficient way of computing the correlator where the complexity scales logarithmically with respect to the number of spin sites.

New Fermionic Soft Theorems for Supergravity Amplitudes.

Soft limits of a massless S matrix are known to reflect the symmetries of the theory. In particular, for theories with Goldstone bosons, the double-soft limit of scalars reveals the coset structure of the vacuum manifold. In this Letter, we propose that such universal double-soft behavior is not only true for scalars, but also for spin-1/2 particles in four dimensions and fermions in three dimensions. We first consider the Akulov-Volkov theory and demonstrate that the double-soft limit of Goldstinos yields the supersymmetry algebra. More surprisingly, we also find that amplitudes in 4≤N≤8 supergravity theories in four dimensions as well as N=16 supergravity in three dimensions behave universally in the double-soft-fermion limit, analogous to the scalar ones. The validity of the new soft theorems at loop level is also studied. The results for supergravity are beyond what is implied by supersymmetry Ward identities and may impose nontrivial constraints on the possible counterterms for supergravity theories.

Consistency conditions for gauge theory S matrices from requirements of generalized unitarity.

In the modern on-shell approach, the perturbative S matrix is constructed iteratively using on-shell building blocks with manifest unitarity. As only gauge invariant quantities enter in the intermediate steps, the notion of a gauge anomaly is absent. In this Letter, we rephrase the anomaly cancellation conditions in a purely on-shell language. We demonstrate that while the unitarity methods automatically lead to a unitary S matrix, the rational terms that are required to enforce locality, invariably give rise to inconsistent factorization channels in chiral theories. In four dimensions, the absence of such inconsistencies implies the vanishing of the symmetric trace of three generators. In six dimensions, if the symmetric trace of four generators does not vanish, the rational term develops a factorization channel revealing a new particle in the spectrum: the 2-form of the Green-Schwarz mechanism. Thus, in the purely on-shell construction, the notion of a gauge anomaly is replaced by the difficulty to consistently impose locality on the unitary S matrix.

The depletion of securin enhances butein-induced apoptosis and tumor inhibition in human colorectal cancer.

Butein (3,4,2',4'-tetrahydroxychalcone) is a promising natural polyphenolic compound that shows the growth inhibitory activity in human cancer cells; however, the precise mechanism is still unclear. Securin plays pivotal role in cancer cell proliferation and tumorigenesis. Here, we report the presence of securin that could modulate apoptosis and tumor growth ability in the butein-treated human colorectal cancer. Butein induced caspase-3 activation and PARP protein cleavage for apoptosis induction in human colorectal cancer cells. Interestingly, butein reduced the securin protein levels but conversely increased the phospho-histone H3 proteins, mitotic arrest and abnormal chromosomes segregation in cancer cells. The securin-null colorectal cancer cells were more sensitive on the reduction of cell viability than the securin-wild type cancer cells following butein treatment. The loss of securin in human colorectal cancer cells decreased tumor growth ability in nude mice. Moreover, butein reduced the tumor size of xenografted human colorectal tumors of nude mice. Taken together, this study demonstrates for the first time that the depletion of securin mediates the butein-induced apoptosis and colorectal tumor inhibition.

Equivalent D = 3 supergravity amplitudes from double copies of three-algebra and two-algebra gauge theories.

We show that three-dimensional supergravity amplitudes can be obtained as double copies of either three-algebra super-Chern-Simons matter theory or two-algebra super-Yang-Mills theory when either theory is organized to display the color-kinematics duality. We prove that only helicity-conserving four-dimensional gravity amplitudes have nonvanishing descendants when reduced to three dimensions, implying the vanishing of odd-multiplicity S-matrix elements, in agreement with Chern-Simons matter theory. We explicitly verify the double-copy correspondence at four and six points for N = 12,10,8 supergravity theories and discuss its validity for all multiplicity.

Integral formula for supersymmetric scattering amplitudes in three dimensions.

We propose a new integral formula for all tree-level scattering amplitudes of N = 6 supersymmetric Chern-Simons theory. It resembles the Roiban-Spradlin-Volovich-Witten formula for N = 4 supersymmetric Yang-Mills theory based on a twistor string theory formulation. Our formula implies that the (2k)-point tree-level amplitude is closely related to degree (k-1) curves in CP(k-1).

Absence of three-loop four-point ultraviolet divergences in N=4 supergravity.

We compute the coefficient of the potential three-loop four-point ultraviolet divergence in pure N=4 supergravity and show that it vanishes, contrary to expectations from symmetry arguments. The recently uncovered duality between color and kinematics is used to greatly streamline the calculation. We comment on all-loop cancellations hinting at further surprises awaiting discovery at higher loops.