Measurements of the Semileptonic Decays anti-B ---> D l anti-nu and anti-B ---> D* l anti-nu Using a Global Fit to D X l anti-nu Final States

title: Branching fraction for $B^{+} \to \pi^0 \ell^{+} \nu$, measured in $\upsilon_{4S} \to B \bar{B}$ events tagged by $B^{-} \to D^0 \ell^{-}$ anti-v ($X$) decays

title: Evidence for the decay $B^0 \to \omega \omega$ and search for $B^0 \to \omega \phi$
abstract: We describe searches for B meson decays to the charmless vector-vector final states omega omega and omega phi with 471 x 10^6 B Bbar pairs produced in e+ e- annihilation at sqrt(s) = 10.58 GeV using the BABAR detector at the PEP-II collider at the SLAC National Accelerator Laboratory. We measure the branching fraction B(B0 -->omega omega) = (1.2 +- 0.3 +0.3-0.2) x 10^-6, where the first uncertainty is statistical and the second is systematic, corresponding to a significance of 4.4 standard deviations. We also determine the upper limit B(B0 -->omega phi)<0.7 x 10^-6 at 90% confidence level. These measurements provide the first evidence for the decay B0 -->omega omega, and an improvement of the upper limit for the decay B0 -->omega phi.

title: Dalitz Plot Analysis of the Decay $B^0$ (anti-B0) $\to K^\pm \pi^\mp \pi^0$

title: Search for low-mass dark-sector Higgs bosons.
abstract: Recent astrophysical and terrestrial experiments have motivated the proposal of a dark sector with GeV-scale gauge boson force carriers and new Higgs bosons. We present a search for a dark Higgs boson using 516 fb(-1) of data collected with the BABAR detector. We do not observe a significant signal and we set 90% confidence level upper limits on the product of the standard model-dark-sector mixing angle and the dark-sector coupling constant.

title: Operation of the Cherenkov detector DIRC of BABAR at high luminosity
abstract: The DIRC (acronym for Detection of Internally Reflected Cherenkov (light)) is the ring imaging Cherenkov detector of the BABAR detector at the PEP-II ring of SLAC. It provides the identification of pions, kaons and protons for momenta up to 4 GeV/c with high efficiency. This is needed to reconstruct CP-violating B-decay final states and to provide B-meson flavour tagging for time dependent asymmetry measurements. The DIRC radiators consists of long rectangular bars made of synthetic fused silica and the photon detector is a water tank equipped with an array of 10.752 conventional photomultipliers. At the end of the year 2000 BABAR has recorded about 22 million B~B pairs reaching the design luminosity of L=3/spl middot/10/sup 33//cm/sup 2/s. The ability to keep the beam background level low at highest collision rates and the long term reliability of the DIRC components during continuous data taking are requirements of BABAR to accomplish its physics program.

title: String characters from kac-moody automorphisms
abstract: We construct modular invariant partition functions for strings which propagate on a group manifold. These string characters are built upon automorphisms of affine Kac-Moody algebras. Namely, to each element of the center of the group we associate infinite series of modular invariant string characters.

title: The sine-Gordon solitons as an N-body problem
abstract: We consider the N -soliton solutions in the sine-Gordon model as an N -body problem. This leads to a relativistic generalization of the Calogero model first introduced by Ruijsenaars. We show that the fundamental Poisson bracket of the Lax matrix is quadratic, and the r -matrix is a dynamical one. This is in contrast to the Calogero model where the fundamental Poisson bracket of the Lax matrix is linear.

title: A quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations
abstract: We consider the universal solution of the Gervais-Neveu-Felder equation in the U q ( sl 2 ) case. We show that it has a quasi-Hopf algebra interpretation. We also recall its relation to quantum 3- j and 6- j symbols. Finally, we use this solution to build a q -deformation of the trigonometric Lame equation.

title: Differential equations for sine-Gordon correlation functions at the free fermion point
abstract: We demonstrate that for the sine-Gordon theory at the free fermion point, the 2-point correlation functions of the fields eiαΦ for 0 < α < 1 can be parameterized in terms of a solution to the sinh-Gordon equation. This result is derived by summing over intermediate multiparticle states and using the form factors to express this as a Fredholm determinant. The proof of the differential equations relies on a Z2 graded multiplication law satisfied by the integral operators of the Fredholm determinant. Using this methodology, we give a new proof of the differential equations which govern the spin and disorder field correlations in the Ising model.

title: Holographic classification of topological insulators and its eightfold periodicity
abstract: Using generic properties of Clifford algebras in any spatial dimension, we explicitly classify Dirac Hamiltonians with zero modes protected by the discrete symmetries of time reversal, particle?hole symmetry and chirality. Assuming that the boundary states of topological insulators are Dirac fermions, we thereby holographically reproduce the periodic table of topological insulators found by Kitaev (2009 AIP Conf. Proc. 1134 22) and Ryu et al (2010 ), without using topological invariants or K-theory. In addition, we find candidate topological insulators in classes AI, AII of dimensions 0,4 mod 8 and in classes C, D of dimensions 2,6 mod 8.