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Loop equations and topological recursion for the arbitrary-$β$ two-matrix model
Loop equations topological recursion two-matrix model
2011/7/25
Abstract: We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading ord...
Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica
Efficient Tree-Amplitudes in N=4 Automatic BCFW Recursion Mathematica
2010/12/27
We describe an efficient implementation of the BCFW recursion relations for tree-amplitudes in N=4 super Yang-Mills, which can generate analytic formulae for general N^kMHV colour-ordered helicity-amp...
We present a semi-recursive method for calculating the rational parts of one-loop amplitudes when recursion produces double poles. We illustrate this with the graviton scattering amplitude M^{1-loop}(...
Additional Recursion Relations, Factorizations, and Diophantine Properties Associated with the Polynomials of the Askey Scheme
Additional Recursion Factorizations Diophantine Properties
2009/9/4
In this paper, we apply to (almost) all the “named” polynomials of the Askey scheme, as defined by their standard three-term recursion relations, the machinery developed in previous papers. For each o...
Construction of Recursion Formulas for Lax Pairs of
(2+1)-Dimensional Equation:
Modified Generalized Dispersive Long Wave Equation
Lax pairs modified generalized dispersive long wave equation
recursion formula solutions
2007/8/15
2004Vol.41No.6pp.807-812DOI:
Construction of Recursion Formulas for Lax Pairs of
(2+1)-Dimensional Equation:
Modified Generalized Dispersive Long Wave Equation
TIAN Yong-Bo,1 C...
