The Physics of the B Factories
This work is on the Physics of the B Factories. Part A of this book contains a brief description of the SLAC and KEK B Factories as well as their detectors, BaBar and Belle, and data taking related issues. Part B discusses tools and methods used by the experiments in order to obtain results. The results themselves can be found in Part C.

title: Improved Measurement of CP Violation in Neutral B Decays to c cs

title: Measurement of the CKM matrix element $|V_{ub}|$ with $B \to \rho e \nu$ decays

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: 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: Measurements of branching fractions and CP-violating asymmetries in B-meson decays to the charmless two-body states K0 pi+, anti-K0 K+, and K0 anti-K0

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.

title: A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction
abstract: We describe a few properties of the XXX spin chain with long range interaction. The plan of these notes is: 
 
1 
 
— The Hamiltonian. 
 
 
 
 
2 
 
— Symmetry of the model. 
 
 
 
 
3 
 
— The irreducible multiplets. 
 
 
 
 
4 
 
— The spectrum. 
 
 
 
 
5 
 
— Wave functions and statistics. 
 
 
 
 
6 
 
— The spinon description. 
 
 
 
 
7 
 
— The thermodynamics.

title: On the Wess-Zumino-Witten models on the torus☆
abstract: We discuss the Ward identities of the Wess-Zumino-Witten models on Riemann surfaces and point out some ambiguities in the description of the zero modes of the currents. In the case of the torus, we show how to describe them and we write the Ward identities in such a way that they become complete. We examine in detail how the Ward identities are related to the Kubo-Martin-Schwinger condition. As an illustration of this formulation, we present a new proof of the Weyl-Kac character formula. The proof essentially relies on the mixed Virasoro × Kac-Moody Ward identities and explains the relation of the heat equation on the group manifold to the Weyl-Kac character formula.

title: Form factors, KdV and deformed hyperelliptic curves
abstract: We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyper-elliptic curves. This relation, which is based on a deformation of the Riemann bilinear identity, in particular leads to the notion of null vectors in integrable field theory and to a new description of the KdV hierarchy.

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.