Results 31 to 40 of about 8,648 (287)
Momentum conserving defects in affine Toda field theories
Journal of High Energy Physics, 2017 Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
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Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations
Journal of High Energy Physics, 2018 The integrability of the N=1 $$ \mathcal{N}=1 $$ supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation
A.R. Aguirre +4 more
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A new kind of anomaly: on W-constraints for GKM
Journal of High Energy Physics, 2021 We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we
A. Morozov
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A Few Kinds of Loop Algebras and Some Applications
AxiomsIn this paper, we search for some approaches for generating (1+1)-dimensional, (2+1)-dimensional and (3+1)-dimensional integrable equations by making use of various Lie algebras and the corresponding loop algebras under the frame of the Tu scheme.
Yanmei Sun +3 more
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Intertwining operator and integrable hierarchies from topological strings
Journal of High Energy Physics, 2021 In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation.
Jean-Emile Bourgine
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Addition formulae of discrete KP, q-KP and two-component BKP systems
, 2016 In this paper, we constructed the addition formulae for several integrable hierarchies, including the discrete KP, the q-deformed KP, the two-component BKP and the D type Drinfeld-Sokolov hierarchies.
Gao, Xu, He, Jingsong, Li, Chuanzhong
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Integrable discretizations of the spin Ruijsenaars-Schneider models
, 1996 Integrable discretizations are introduced for the rational and hyperbolic spin Ruijsenaars--Schneider models. These discrete dynamical systems are demonstrated to belong to the same integrable hierarchies as their continuous--time counterparts.
Krichever I. +2 more
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dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy [PDF]
, 2001 It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane.
Ahlfors +26 more
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The Witten equation, mirror symmetry and quantum singularity theory
, 2012 For any non-degenerate, quasi-homogeneous hypersurface singularity, we describe a family of moduli spaces, a virtual cycle, and a corresponding cohomological field theory associated to the singularity. This theory is analogous to Gromov-Witten theory and
Fan, Huijun +2 more
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SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans +4 more
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