Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 121-140 of 319
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Phase shift of isospin-2 pi pi scattering from lattice QCD
(2011)Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luscher technique. In this letter, as a trial of the method, ... -
The chirally rotated Schrodinger functional with Wilson fermions and automatic O(a) improvement
(2011)A modified formulation of the Schrodinger functional (SF) is proposed. In the continuum it is related to the standard SF by a non-singlet chiral field rotation and therefore referred to as the chirally rotated SF (?SF). ... -
Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
(2010)We give various equivalent formulations to the (partially) open problem about Lp-boundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between ... -
Operator ranges and spaceability
(Elsevier, 2011)Recent contributions on spaceability have overlooked the applicability of results on operator range subspaces of Banach spaces or Frechet spaces. Here we consider general results on spaceability of the complement of an ... -
Weyl's theorem and tensor products: a counterexample.
(Elsevier, 2011)Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limacon. -
The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations.
(Institute of Physics, 2006)We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5?S5. We then quantize the theory perturbatively in the near plane-wave ... -
On AdS(5) x S**5 String S-matrix.
(Elsevier, 2006)Recently two interesting conjectures about the string S-matrix on AdS5?S5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum ... -
Finite-size Effects from Giant Magnons.
(Elsevier, 2007)In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS5?S5, we construct one-soliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently ... -
Konishi operator at intermediate coupling.
(2011)TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling 2046. The data obtained ... -
On String S-matrix, Bound States and TBA
(2007)The study of finite J effects for the light-cone AdS5 ? S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the ... -
The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
(2007)We discuss the Zamolodchikov-Faddeev algebra for the superstring sigmamodel on AdS5 ? S5. We find the canonical su(2|2)2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its ... -
Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory.
(Institute of Physics, 2005)We analyze in detail the relation between an exactly marginal deformation of N = 4 SYM | the Leigh-Strassler or \?-deformation" | and its string theory dual (recently constructed in hep-th/0502086) by comparing energies ... -
Lax pair for strings in Lunin-Maldacena background.
(2005)Recently Lunin andMaldacena used an SL(3,R) transformation of the AdS5?S5 background to generate a supergravity solution dual to a so-called -deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality ... -
Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory.
(Elsevier, 2005)We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 ... -
New integrable system of 2dim fermions from strings on AdS(5) x S**5.
(Institute of Physics, 2006)We consider classical superstrings propagating on AdS5 ? S5 space-time. We consistently truncate the superstring equations of motion to the so-called fraktur sfraktur u(1|1) sector. By fixing the uniform gauge we show that ... -
Uniform light-cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector.
(2006)We introduce a uniform light-cone gauge for strings propagating in AdS5 ?S5 space-time. We use the gauge to analyze strings from the su(1|1) sector, and show that the reduced model is described by a quadratic action for ... -
Green-Schwarz strings in TsT-transformed backgrounds.
(Institute of Physics, 2006)We consider classical strings propagating in a background generated by a sequence of TsT transformations. We describe a general procedure to derive the Green-Schwarz action for strings. We show that the U(1) isometry ... -
The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring
(Institute of Physics, 2007)We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 ? S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and ... -
Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT.
(Elsevier, 2007)We compute 1-loop correction E1 to the energy of folded string in AdS5?S5 (carrying spin S in AdS5 and momentum J in S5) using a ?long string? approximation in which Smuch greater-thanJmuch greater-than1. According to the ... -
On the SO(N) symmetry of the chiral SU(N) Yang-Mills model
(Elsevier, 1993)The posibility of quantizing the anomalous SU(N) Yang?Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess?Zumino action (1-cocycle) possesses the additional SO(N) symmetry ...