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Minimal basis for gauge theory amplitudes.
Identities based on monodromy for integrations in string theory are used to derive relations between different color-ordered tree-level amplitudes in both bosonic and supersymmetric string theory.Expand
The momentum kernel of gauge and gravity theories
We derive an explicit formula for factorizing an n-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infiniteExpand
General Relativity from Scattering Amplitudes.
Weoutline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multigraviton, two-body,Expand
Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices
We find the microscopic spectral densities and the spectral correlators associated with multicritical behavior for both hermitian and complex matrix ensembles, and show their universality. WeExpand
New Representations of the Perturbative S Matrix.
We propose a new framework to represent the perturbative S matrix which is well defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrableExpand
Monodromy and Jacobi-like relations for color-ordered amplitudes
We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that isExpand
Algebra of Higher Antibrackets
Abstract We present a simplified description of higher antibrackets, generalizations of the conventional antibracket of the Batalin-Vilkovisky formalism. We show that these higher antibracketsExpand
Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac operator using both chiral perturbation theory and chiral random matrix theory. A graded chiralExpand
A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
We solve a new chiral Random Two-Matrix Theory by means of biorthogonal polynomials for any matrix size N. By deriving the relevant kernels we find explicit formulas for all (n, k)-point spectralExpand
The Microscopic Spectral Density of the QCD Dirac Operator
We derive the microscopic spectral density of the Dirac operator in $SU(N_c\geq 3)$ Yang-Mills theory coupled to $N_f$ fermions in the fundamental representation. An essential technical ingredient isExpand