5 citations · 6 across the 8 of their papers we have counts for
9 papers
The KdV vacuum operator and its Katz extension
Martin T. Luu
We define a connection on the formal disc that can be used to single out the vacuum of the Drinfeld-Sokolov KdV hierarchy associated to a simple complex finite-dimensional Lie alge…
Kirillov polynomials for the exceptional Lie algebra
Martin T. Luu
As part of the development of the orbit method, Kirillov has counted the number of strictly upper triangular matrices with coefficients in a finite field of elements and fixed…
Iterated integrals on affine curves
Martin Luu, Albert Schwarz
Motivated by amplitude calculations in string theory we establish basic properties of homotopy invariant iterated integrals on affine curves.
Rigidity of Kac-Schwarz operators
Martin Luu
In his work on the mathematical formulation of 2d quantum gravity Schwarz established a rigidity result for Kac-Schwarz operators for the n-KdV hierarchies. Later on, Adler and van…
Spectral curve duality beyond the two-matrix model
Martin Luu
We describe a simple algebraic approach to several spectral duality results for integrable systems and illustrate the method for two types of examples: The Bertola-Eynard-Harnad sp…
Langlands parameters of quivers in the Sato Grassmannian
Martin Luu, Matej Penciak
Motivated by quantum field theoretic partition functions that can be expressed as products of tau functions of the KP hierarchy we attach several types of local geometric Langlands…
Local Langlands Duality and a Duality of Conformal Field Theories
Martin Luu
We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying them…
Fourier duality of quantum curves
Martin Luu, Albert Schwarz
There are two different ways to deform a quantum curve along the flows of the KP hierarchy. We clarify the relation between the two KP orbits: In the framework of suitable connecti…
Duality of 2D gravity as a local Fourier duality
Martin Luu
The p - q duality is a relation between the (p,q) model and the (q,p) model of two-dimensional quantum gravity. Geometrically this duality corresponds to a relation between the two…