Anomalies in covariant W gravity
We consider free scalar matter covariantly coupled to background W-gravity. Expanding to second order in the W-gravity fields, we study the appropriate anomalous Ward-Takahashi identities and find the counterterms which maintain diffeomorphism invariance and its W-analogue. We see that a redefinition of the vielbein transformation rule under W-diffeomorphism is required in order to cancel nonlocal contributions to the anomaly. Moreover, we explicitly write all gauge invariances at this order. Some consequences of these results for the chiral gauge quantization are discussed.

title: Minimal models on Riemann surfaces
abstract: We extend the Coulomb gas representation of minimal model correlation functions to higher genius Riemann surfaces. Specifically, we incorporate the “BRS” structure of this representation into the operator formalism. This allows traces over the spectrum of a minimal model to be computed from traces over Fock spaces of a free scalar field. This our results are obtained by standard sewing techniques. The formulation is general, but we present here in particular the two-loop characters of the Ising model.

title: Free Field Approach to 2-Dimensional Conformal Field Theories

title: BV Structure of the Cohomology of Nilpotent Subalgebras and the Geometry of(W) Strings
abstract: AbstractGiven a simple, simply laced, complex Lie algebra 
$$\mathfrak{g}$$
corresponding to the Lie group G, let 
$$\mathfrak{n}_ + $$
 be thesubalgebra generated by the positive roots. In this Letter we construct aBV algebra 
$${\text{BV}}[\mathfrak{g}]$$
 whose underlying graded commutative algebra is given by the cohomology, with respect to 
$$\mathfrak{n}_ + $$
, of the algebra of regular functions on G with values in 
$$ \wedge (\mathfrak{n}_ + \backslash \mathfrak{g})$$
. We conjecture that 
$${\text{BV}}[\mathfrak{g}]$$
 describes the algebra of allphysical (i.e., BRST invariant) operators of the noncritical 
$$\mathcal{W}[\mathfrak{g}]$$
string. The conjecture is verified in the two explicitly known cases,
$$\mathfrak{g} = \mathfrak{s}\mathfrak{l}$$
2 (the Virasoro string) and 
$$\mathfrak{g} = \mathfrak{s}\mathfrak{l}$$
3 (the 
$$\mathcal{W}_3 $$
 string).

title: Fusing the coordinates of quantum superspace
abstract: We introduce the notion of a fused quantum superplane by allowing for terms θθ ∼ x in the defining relations. We develop the differential calculus for a large class of fused quantum superplanes related to particular solutions of the Yang-Baxter equation.

title: Covariant field theory of the compactified closed bosonic string
abstract: We covariantly first-quantize, via the BRST approach, the closed bosonic string compactified on a torus — in particular the 18-dimensional theory with E8 × E8 gauge bosons. Further, we give the corresponding free field theory. Thus the model is ready for the introduction of string interactions, and may be very useful for the study of gauge interactions in string theories.

title: Combined analysis of world data on nucleon spin structure functions
abstract: We analyse the proton, deuteron and neutron spin dependent structure functions at fixed Q 2 = 5 GeV 2 . The experimental asymmetries for the proton, neutron and deuteron are compared and found to be consistent. The first moment of the neutron structure function is evaluated using all available data. We find that the Bjorken sum rule is confirmed within an experimental uncertainty of 17%. The quark spin contribution to the nucleon spin is small, and the strange quark spin content is different from zero.

title: Scaling in inclusive electron - nucleus scattering

title: The Spin dependent structure function g1(x) of the deuteron from polarized deep inelastic muon scattering
abstract: We present a new measurement of the virtual photon proton asymmetry A 1 p from deep inelastic scattering of polarized muons on polarized protons in the kinematic range 0.0008 x Q 2 2 . With this, the statistical uncertainty of our measurement has improved by a factor of 2 compared to our previous measurements. The spin-dependent structure function g 1 p is determined for the data with Q 2 > 1 GeV 2 . A perturbative QCD evolution in next-to-leading order is used to determine g 1 p ( x ) at a constant Q 2 . At Q 2 = 10 GeV 2 we find, in the measured range, ∫ 0.003 0.7 g 1 P (x) d x=0.139±0.006 ( stat ) ±0.008 ( syst ) ±0.006( evol ) . The value of the first moment Г 1 P = ∫ 0 1 g 1 p (x) d x of g 1 p depends on the approach used to describe the behaviour of g 1 p at low x . We find that the Ellis-Jaffe sum rule is violated. With our published result for Γ 1 d we confirm the Bjorken sum rule with an accuracy of ≈ 15% at the one standard deviation level.

title: NUCLEAR HIGH MOMENTUM COMPONENTS AND Y SCALING IN ELECTRON SCATTERING

title: Multi-GeV Electron Linac-Pulse Stretcher Design Options
abstract: The Linac-Pulse Stretcher Ring system is evaluated as a design for a high duty factor (> 90%), intense (240 ¿A), electron accelerator for operation in the 0.5 to multi-GeV (> 4 GeV) region. Options within this system are discussed in light of their predicted initial and operational cost, flexibility, and reliability. The ramifications of the choice of a particular cavity type, accelerating gradient, repetition rate, beam pulse length, and number of beam recirculations for the linac design are discussed both with respect to the linac itself and to the Pulse Stretcher Ring. The Pulse Stretcher Ring concept is analysed in terms of injection schemes (single or multi-turn), extraction methods (half or third integer, chromatic or achromatic), and operation parameters (machine tune and chromaticity).