Results 21 to 30 of about 4,984 (251)
Rainbow tensor model with enhanced symmetry and extreme melonic dominance
Physics Letters B, 2017 We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are ...
H. Itoyama, A. Mironov, A. Morozov
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Filomat, 2018 Let A=I-PQT, where P and Q are two n x 2 complex matrices of full column rank such that det(QTP)=0. We find all the commuting solutions of the quadratic matrix equation AXA = XAX.
Yin, Hui-Hui +3 more
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Finite size effects and the supersymmetric sine-Gordon models [PDF]
, 2003 We propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N = 1 supersymmetric sine-Gordon model as well as the phi(id,id,adj) perturbation of the SU(2)(L ...
Dunning, Clare
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Maximal cuts in arbitrary dimension
Journal of High Energy Physics, 2017 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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Combinatorics of KP hierarchy structural constants
European Physical Journal C: Particles and Fields, 2021 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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Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
Nuclear Physics B, 2016 The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li +5 more
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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
Linear Algebra and its Applications, 2004 Many problems in systems and control theory require the solution of Sylvester's equation \(AX-YB=C\) or of its generalization \((*)\) \(AXB+CYD=E\). The author studies the couple of matrix equations \((**)\) \(A_1XB_1=C_1,A_2XB_2=C_2\) over an arbitrary regular ring with identity.
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W-infinity ward identities and correlation functions in the c=1 matrix model [PDF]
, 1992 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.
Mandal, Gautam +3 more
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Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and R-matrix identities
, 2022 We propose commuting set of matrix-valued difference operators in terms of the elliptic Baxter-Belavin $R$-matrix in the fundamental representation of ${\rm GL}_M$. In the scalar case $M=1$ these operators are the elliptic Macdonald-Ruijsenaars operators,
M. Matushko +3 more
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Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
Open Mathematics, 2017 In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
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