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Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
We are concerned with the long-time asymptotic behavior of the solution for the focusing Hirota equation (also called third-order nonlinear...
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Conformal invariance versus Weyl invariance
The most general Lagrangian describing spin 2 particles in flat spacetime and containing operators up to (mass) dimension 6 is carefully analyzed,...
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Quantum Theta Functions and Gabor Frames for Modulation Spaces
Representations of the celebrated Heisenberg commutation relations in quantum mechanics (and their exponentiated versions) form the starting point...
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Genus Four Superstring Measures
A main issue in superstring theory are the superstring measures. D’Hoker and Phong showed that for genus two these reduce to measures on the moduli...
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Two Loop Superstring Amplitudes and S 6 Representations
In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory,...
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Star Product Formula of Theta Functions
As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect...
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On the Current of Chiral Fermions of Higher Rank
The current of the bc -system of higher rank introduced recently is examined. Its 1-point function is described geometrically and some local...
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Theta Functions, Quantum Tori and Heisenberg Groups
A linear algebraic group G is represented by the linear space of its algebraic functions F ( G ) endowed with multiplication and comultiplication which...
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Quantum Surfaces, Special Functions, and the Tunneling Effect
The notion of quantum embedding is considered for two classes of examples: quantum coadjoint orbits in Lie coalgebras and quantum symplectic leaves...
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Some comments on the solvable chiral potts model
We present a simple proof of the conjecture produced by Baxter, Perk and Au-Yang on the structure of the normalization factor R(p, q, r) corresponding...