Browsing Pure & Applied Mathematics (Scholarly Publications) by Title
Now showing items 94-113 of 319
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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 ... -
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... -
Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case.
(Geometric And Functional Analysis, 2003)We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface M in C2 at a point p ? M are uniquely determined by their jets of some finite order at p if and only if M is not Levi-flat near ... -
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 ... -
A fixed-point theorem for holomorphic maps
(Royal Irish Academy, 1994)We consider the action on the maximal ideal space M of the algebra H of bounded analytic functions, induced by an analytic self?map of a complex manifold, X. After some general preliminaries, we focus on the question of ... -
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
(2007)We simulate two variants of quenched twisted mass QCD (tmQCD), with degenerate Wilson quarks of masses equal to or heavier than half the strange quark mass. We use Ward identities in order to measure the twist angles of ... -
Folding in the Skyrme model.
(American Institute of Physics, 2001)There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond ... -
Formal and finite order equivalences
(2011)We show that two families of germs of real-analytic subsets in Cn are formally equivalent if and only if they are equivalent of any finite order. We further apply the same technique to obtain analogous statements for ... -
Four graviton scattering amplitude from S(N) R**8 supersymmetric orbifold sigma model
(Elsevier, 1998)In the IR limit the Matrix string theory is expected to be described by the SNR8 supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string ... -
Four-point functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation
(American Physical Society, 2000)We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on an AdS53S5 background coincides with the relevant part of the action of the gauged ... -
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 -
Gauge invariant Hamiltonian formulation of lattice Yang-Mills theory
(World Scientific, 1995)It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge A0 = 0 one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered ... -
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 ...