Zobrazeno 1 - 10
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pro vyhledávání: '"Guest, Martin A."'
This paper is the first in a forthcoming series of works where the authors study the global asymptotic behavior of the radial solutions of the 2D periodic Toda equation of type $A_n$. The principal issue is the connection formulae between the asympto
Externí odkaz:
http://arxiv.org/abs/2309.16550
In previous articles we have studied the A_n tt*-Toda equations (topological-antitopological fusion equations of Toda type) of Cecotti and Vafa, giving details mainly for n=3. Here we give a proof of the existence and uniqueness of global solutions f
Externí odkaz:
http://arxiv.org/abs/2302.04597
Autor:
Guest, Martin A.
This article, intended for a general mathematical audience, is an informal review of some of the many interesting links which have developed between quantum cohomology and "classical" mathematics. It is based on a talk given at the Autumn Meeting of
Externí odkaz:
http://arxiv.org/abs/2210.05413
Autor:
Guest, Martin A., Ho, Nan-Kuo
Publikováno v:
Josai Math. Monographs 13 (2021) 109-137
We review some links between Lie-theoretic polytopes and field theories in physics, which were proposed in the 1990's. A basic ingredient is the Coxeter Plane, whose relation to integrable systems and the Stokes Phenomenon has only recently come to l
Externí odkaz:
http://arxiv.org/abs/2110.15483
Autor:
Guest, Martin A., Otofuji, Takashi
We give a construction which produces a positive energy representation of the affine Lie algebra of type A_n from the Stokes data of a solution of the tt*-Toda equations of type A_n. The construction appears to play a role in conformal field theory.
Externí odkaz:
http://arxiv.org/abs/2109.00765
Autor:
Guest, Martin A.
We suggest an explanation for the part of the Satake Correspondence which relates the quantum cohomology of complex Grassmannians and the quantum cohomology of complex projective space, as well as their respective Stokes data, based on the original p
Externí odkaz:
http://arxiv.org/abs/2012.01123
Autor:
Guest, Martin, Ho, Nan-Kuo
We propose a Lie-theoretic definition of the tt*-Toda equations for any complex simple Lie algebra $\mathfrak{g}$, based on the concept of topological-antitopological fusion which was introduced by Cecotti and Vafa. Our main result concerns the Stoke
Externí odkaz:
http://arxiv.org/abs/1802.01126
Autor:
Guest, Martin, Ho, Nan-Kuo
Publikováno v:
Mathematical Physics, Analysis and Geometry, Volume 20, Issue 4, December 2017, article 24
We give a Lie-theoretic explanation for the convex polytope which parametrizes the globally smooth solutions of the topological-antitopological fusion equations of Toda type (tt$^*$-Toda equations) which were introduced by Cecotti and Vafa. It is kno
Externí odkaz:
http://arxiv.org/abs/1801.10445