Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 81-100 of 319
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On the central Haagerup tensor product and completely bounded mappings of a C*-algebra,
(2005)We consider the natural contractive map from the central Haagerup tensor product of a unital C*-algebra A with itself to the space of completely bounded maps CB ( A ) on A. We establish the necessity of the known sufficient ... -
Quantization of Integrable Systems and Four Dimensional Gauge Theories
(2010)We study four dimensional N = 2 supersymmetric gauge theory in the ?- background with the two dimensional N = 2 super-Poincare invariance. We explain how this gauge theory provides the quantization of the class ical ... -
Quantum integrability and supersymmetric vacua
(2009)Supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be in one-to-one correspondence with the eig enstates of integrable spin chain ... -
Supersymmetric vacua and Bethe ansatz
(2009)This note is a short announcement of some results of a longer p aper where the supersymmet- ric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown ... -
Two-dimensional gauge theories and quantum integrable systems
(2008)In this paper the relation between 2d topological gauge theo ries and Bethe Ansatz equations is reviewed. 1 In addition we present some new results and clarifications. W e hope the relations discussed here are ... -
Higgs Bundles, Gauge Theories and Quantum Groups
(2008)The appearance of the Bethe Ansatz equation for the Nonlinea r Schr ?odinger equa- tion in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the ... -
Towards Integrability of Topological Strings I: Three Froms on Calabi-
(2004)The precise relation between Kodaira-Spencer path integra l and a particular wave function in seven dimensional quadratic field theory is esta blished. The special properties of three-forms in 6d, as well as Hitchin?s ... -
Stringy Higgs Mechanizm and Fate of Open Strings
(2001)We propose a refinement of the physical picture describing di fferent vacua in bosonic string theory. The vacua with closed strings and open string s are connected by the string field theory version of the Higgs ... -
Quantum geometry and quiver gauge theories
(2013)We study macroscopically two dimensional N = (2 , 2) supersymmetric gauge theories constructed by compactifying the quiver gau ge theories with eight su- percharges on a product T d ? R 2 ? of a d -dimensional ... -
Factorization Conjecture and Open/Closed String Correspondence
(2005)We present evidence for the factorization of the world-shee t path integrals for 2d con- formal field theories on the disk into bulk and boundary contr ibutions. This factorization is then used to reinterpret a shift ... -
Universally reversible JC*-triples and operator spaces
(2013)We prove that the vast majority of JC*-triples satisfy the condition of universal reversibility. Our characterisation is that a JC*-triple is universally reversible if and only if it has no triple homomorphisms onto Hilbert ... -
Obituary: T. Trevor West 1938-2012
(2013) -
The Hydrodynamical Relevance of the Camassa?Holm and Degasperis?Procesi Equations
(Springer-Verlag, 2009-04-01)n recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water ... -
Supercritical biharmonic equations with power-type nonlinearity
(2009)We study two different versions of a supercritical biharmonic equation with a power-type nonlinearity. First, we focus on the equation Delta(2)u = vertical bar u vertical bar(p-1)u over the whole space R(n), where n > 4 ... -
Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
(2013)Motivated by the notorious di culties in determining the rst quantum corrections to the spectrum of short strings in AdS 5 S 5 from rst principles, we study closed bosonic strings in this background employing a ... -
Free field representation and form factors of the chiral Gross-Neveu model
(2013)The free field representation of the Zamolodchikov-Faddeev algebra for the chiral Gross-Neveu model is analysed in detail, and used to construct an integral representation for form factors of the model -
Excited states in Bethe ansatz solvable models and the dressing of spin and charge
(2013)A general formalism for the study of excitations above equilibrium in Bethe ansatz solvable models is presented. Nonzero temperature expressions for dressed energy, momentum, spin and charge are obtained. The zero ... -
Exceptional Operators in N=4 super Yang-Mills
(2012)We consider one particularly interesting class of composite gauge-invariant op- erators in N = 4 super Yang-Mills theory. An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the ... -
Scaling dimensions from the mirror TBA
(2012)The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several two-particle states dual to ${\cal N}=4$ SYM operators from the ... -
Hubbard-Shastry lattice models
(2012)We consider two lattice models for strongly correlated electrons which are exactly solvable in one dimension. Along with the Hubbard model and the $\mathfrak {su}(2|2)$ spin chain, these are the only parity-invariant models ...
