14982537
On the commuting charges for the highest dimension SU(2) operators in planar = 4 SYM
We consider the highest anomalous dimension operator in the SU(2) sector of planar = 4 SYM at all-loop, though neglecting wrapping contributions. In any case, the latter enter the loop expansion only after a precise length-depending order. In the thermodynamic limit we write both a linear integral equation for the Bethe root density and a linear system obeyed by the commuting charges. Consequently, we determine the leading strong coupling contribution to the density and from this an approximation to the leading and sub-leading terms of any charge Qr: it scales as λ1/4−r/2, which generalises the Gubser-Klebanov-Polyakov energy law. In the end, we briefly extend these considerations to finite lengths and 'excited' operators by using the idea of a non-linear integral equation.
15274892
On the Quasi-Hopf Structure of Deformed Double Yangians
We construct universal twists connecting the centrally extended double Yangian DYrm(sl(2))c with deformed double Yangians DYrm(sl(2))c, thereby establishing the quasi-Hopf structures of the latter.
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
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.
119389503
Hubbard's adventures in Script N = 4 SYM-land? Some non-perturbative considerations on finite length operators
As the Hubbard energy at half-filling is believed to reproduce at strong coupling (part of) the all loop expansion of the dimensions in the SU(2) sector of the planar = 4 SYM (super-Yang–Mills theory), we compute an exact non-perturbative expression for it. With this aim, we use the effective and well-known idea in 2D statistical field theory of converting the Bethe ansatz equations into two coupled non-linear integral equations (NLIEs). We focus our attention on the highest anomalous dimension for fixed bare dimension or length, L, analysing the many advantages of this method for extracting exact behaviours on varying the length and the' t Hooft coupling, λ. For instance, we will show that the large L (asymptotic) expansion is exactly reproduced by its analogue in the Beisert–Dippel–Staudacher (BDS) Bethe ansatz, though the exact expression clearly differs from the BDS one (in having non-analytic terms). Taking the limits on L and λ in different orders is also under strict control. Eventually, the precision of numerical integration of the NLIEs is as impressive as in other easier-looking theories.
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.
122836697
CVD diamond films as photon detectors
Abstract We present an overview of our research on Chemical Vapour Deposited (CVD) diamond films as photon detectors. Samples are grown in our laboratories using three different methods: microwave plasma enhanced CVD (MWPECVD), DC glow discharge CVD (DCGDCVD) and hot filament CVD (HFCVD). We present the photoelectrical properties of these samples having contacts in planar and sandwich configuration, taking into account the roles of material microstructure and electrical configuration. Their photoresponse has been measured in the whole visible–near UV spectral range with the aim to characterize their UV selectivity and to evaluate their gap-state density.
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