Results 11 to 20 of about 127,181 (241)
Maximal cuts in arbitrary dimension [PDF]
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
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Planck Constant as Spectral Parameter in Integrable Systems and KZB Equations [PDF]
We construct special rational ${\rm gl}_N$ Knizhnik-Zamolodchikov-Bernard (KZB) equations with $\tilde N$ punctures by deformation of the corresponding quantum ${\rm gl}_N$ rational $R$-matrix. They have two parameters.
Levin, A., Olshanetsky, M., Zotov, A.
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Exact surface energy of the D2(1) spin chain with generic non-diagonal boundary reflections
The exact solution of the D2(1) quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of transfer matrices of two ...
Guang-Liang Li +5 more
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$W$-Infinity Ward Identities and Correlation Functions in the $C=1$ Matrix Model [PDF]
We explore consequences of $W$-infinity symmetry in the fermionic field theory of the $c=1$ matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator.
Das, Sumit R. +3 more
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Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables [PDF]
Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schr\"odinger equations depending on two variables and of nonlinear wave equations depending on three ...
Fritzsche, Bernd +3 more
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Solitons in lattice field theories via tight-binding supersymmetry
Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
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Quantum curves and conformal field theory [PDF]
To a given algebraic curve we assign an infinite family of quantum curves (Schr\"odinger equations), which are in one-to-one correspondence with, and have the structure of, Virasoro singular vectors.
Manabe, Masahide, Sułkowski, Piotr
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Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms [PDF]
The Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the off-diagonal Bethe ansatz method.
Cao, Junpeng +5 more
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Exact solution of matricial Φ23 quantum field theory
We apply a recently developed method to exactly solve the Φ3 matrix model with covariance of a two-dimensional theory, also known as regularised Kontsevich model. Its correlation functions collectively describe graphs on a multi-punctured 2-sphere.
Harald Grosse +2 more
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Combinatorics of KP hierarchy structural constants
We investigate the structural constants of the KP hierarchy, which appear as universal coefficients in the paper of Natanzon–Zabrodin arXiv:1509.04472 . It turns out that these constants have a combinatorial description in terms of transport coefficients
A. Andreev +3 more
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