118449664
Beyond cusp anomalous dimension from integrability in SYM4
We study the first sub‐leading correction O((ln s)0) to the cusp anomalous dimension in the high spin expansion of finite twist operators in N = 4 SYM theory. This term is still governed by a linear integral equation which we study in the weak and strong coupling regimes. In the strong coupling regime we find agreement with the string theory computations.
120678958
Fock representations of exchange algebras with involution
An associative algebra AR with exchange properties generalizing the canonical (anti)commutation relations is considered. We introduce a family of involutions in AR and construct the relative Fock representations, examining the positivity of the metric. As an application of the general results, we rigorously prove unitarity of the scattering operator of integrable models in 1+1 space-time dimensions. In this context the possibility of adopting various involutions in the Zamolodchikov–Faddeev algebra is also explored.
18478779
A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations
A generalization of the Yang–Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang–Baxter equation still ensures that the transfer matrix generates operators in involution which form the Cartan sub-algebra of the braided quantum group. Representations diagonalizing these operators are described through relying on an easy generalization of algebraic Bethe ansatz techniques. The conjecture that this monodromy matrix algebra leads, in the cylinder continuum limit, to a perturbed minimal conformal field theory description is analysed and supported.
9495374
CENTRAL EXTENSIONS OF CLASSICAL AND QUANTUM Q-VIRASORO ALGEBRAS
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra Aq,p(sl(N))c. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the literature.
18236433
The Elliptic Scattering Theory of the 1/2-XYZ and Higher Order Deformed Virasoro Algebras
Abstract.Bound state excitations of the spin 1/2-XYZ model are considered inside the Bethe Ansatz framework by exploiting the equivalent Non-Linear Integral Equations. Of course, these bound states go to the sine-Gordon breathers in the suitable limit and therefore the scattering factors between them are explicitly computed by inspecting the corresponding Non-Linear Integral Equations. As a consequence, abstracting from the physical model the Zamolodchikov-Faddeev algebra of two n-th elliptic breathers defines a tower of n-order Deformed Virasoro Algebras, reproducing the n = 1 case the usual well-known algebra of Shiraishi-Kubo-Awata-Odake [1].Communicated by Vincent Rivasseau
120458416
Unitary group representations in fock spaces with generalized exchange properties
We investigate the notion of secondR-quantization - a suitable deformation of the standard second quantization which properly takes into account the nontrivial exchange properties characterizing generalized statistics. We also perform theR-quantization of a class of unitary one-particle representations relevant for the description of symmetries. The Euclidean covariance of anyons is analyzed within this context.
119215247
New Physics at CDF
The Standard Model (SM) of particle interactions is one of the major achievements of fundamental science. However, despite its success in predicting experimental results through the years, several fundamental issues are left open such as: the origin of dark matter in the universe, the existence of a unifying theory of all known forces and interactions, why particles have the masses we observe and the hierarchy problem. Supersymmetry (SUSY) is one of the possible extensions of the SM. It proposes an additional symmetry that predicts the existence of an additional boson (fermion) for each SM fermion (boson). The appeal of SUSY is closely related to the fact that it naturally solves several of the open questions of the SM. Thus it is extensively tested in an experiment as CDF where many of its signatures can be searched for. On the other hand there is still no compelling reason to exclude other scenarios like Extra-dimensions and New Gauge Interaction Models, a priori. The CDF program in physics beyond the SM is quite rich and here we present some representative searches subdivided in two main categories: SUSY and non-SUSY searches. We present the current status of searches for physics beyond the Standard Modelmore » at the Tevatron 1.96-TeV proton-antiproton collider using data collected with the CDF experiment. We cover searches for supersymmetry, extra dimensions and new gauge bosons.« less
55875652
A Wide Area Electron Beam Scanner
A wide-area electron beam scanner, which utilizes a single three-phase electromagnet has been designed and constructed for use with Grumman's 3 MV Van de Graaff accelerator. The uniformity of the beam scan has been measured, and between radii of 1 and 4? inches has been found to be constant to within ±10 percent (%).