Towards a manifestly SL(2,Z)-covariant action for the type IIB (p,q) super-five-branes

We determine a manifestly SL(2,Z)-covariant kappa-symmetric action for the type IIB (p,q) five-branes as a perturbative expansion in the world-volume field strengths within the framework where the brane tension is generated by a world-volume field. In this formulation the Lagrangian is expected to be polynomial; we construct the kappa-invariant action to fourth order in the world-volume field strengths.Comment: 9 pages, LaTeX2

Super-p-brane actions from interpolating dualisations

We review a recently proposed method for constructing super-p-brane world-volume actions. In this approach, starting from a democratic choice of world-volume gauge-fields guided by p-brane intersection rules, the requirements of kappa-symmetry and gauge invariance can be used to determine the corresponding action. We discuss the application of the method to some cases of interest, notably the (p,q)-5-branes of type-IIB string theory in a manifestly S-duality covariant formulation.Comment: 8 pages, LaTeX2e. Based on talks given by A.W. at QFTHEP'99, Moscow, 27 May-2 June 1999, and at the Third annual meeting of the EU TMR network `Quantum aspects of gauge theories, supersymmetry and unification', Paris, 1-7 September 199

Anyons on Higher Genus Surfaces - a Constructive Approach

We reconsider the problem of anyons on higher genus surfaces by embedding them in three dimensional space. From a concrete realization based on three dimensional flux tubes bound to charges moving on the surface, we explicitly derive all the representations of the spinning braid group. The component structure of the wave functions arises from winding the flux tubes around the handles. We also argue that the anyons in our construction must fulfil the generalized spin-statistics relation.Comment: 8 pages, LaTex, 2 figures available on request ([email protected]), USITP-93-1

The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity

We give the full supersymmetric and kappa-symmetric actions for the Dirichlet p-branes, including their coupling to background superfields of ten-dimensional type IIA and IIB supergravity.Comment: 24 pages, plain TeX. Replacement corrects text positioning in automatically generated postscript fil

On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations

We discuss a previously discovered [hep-th/9401027] extension of the infinite-dimensional Lie algebras Map(M,g) which generalizes the Kac-Moody algebras in 1+1 dimensions and the Mickelsson-Faddeev algebras in 3+1 dimensions to manifolds M of general dimensions. Furthermore, we review the method of regularizing current algebras in higher dimensions using pseudodifferential operator (PSDO) symbol calculus. In particular, we discuss the issue of Lie algebra cohomology of PSDOs and its relation to the Schwinger terms arising in the quantization process. Finally, we apply this regularization method to the algebra of the above reference with partial success, and discuss the remaining obstacles to the construction of a Fock space representation.Comment: 6 pages, LaTeX, requires espcrc2.sty and amsfonts.sty. Contribution to the proceedings of the 30th Int. Symposium Ahrenshoop on the theory of elementary particles, Buckow, Germany, August 27-31, 199

The Twisted String Vertex Algorithm Applied to the Z2Z_2-Twisted Scalar String Four Vertex

Recently an algorithm was found by means of which one can calculate terms at arbitrary oscillator level in the four-Ramond vertex obtained by sewing. Here we show that this algorithm is applicable also to the case of ${\bf Z}_2$-twisted scalars and derive the full propagator for scalars on the Riemann sphere with two branch cuts. The relation to similar results previously derived in the literature by other means is discussed briefly.Comment: 18 pages (LaTeX), G\"oteborg ITP 94-

Higher-Dimensional Loop Algebras, Non-Abelian Extensions and p-Branes

We postulate a new type of operator algebra with a non-abelian extension. This algebra generalizes the Kac--Moody algebra in string theory and the Mickelsson--Faddeev algebra in three dimensions to higher-dimensional extended objects ($p$-branes). We then construct new BRST operators, covariant derivatives and curvature tensors in the higher-dimensional generalization of loop space.Comment: (published version, extended introduction), 35 pp.(LaTeX), Goteborg ITP-93-3

Schwinger Terms and Cohomology of Pseudodifferential Operators

We study the cohomology of the Schwinger term arising in second quantization of the class of observables belonging to the restricted general linear algebra. We prove that, for all pseudodifferential operators in 3+1 dimensions of this type, the Schwinger term is equivalent to the ``twisted'' Radul cocycle, a modified version of the Radul cocycle arising in non-commutative differential geometry. In the process we also show how the ordinary Radul cocycle for any pair of pseudodifferential operators in any dimension can be written as the phase space integral of the star commutator of their symbols projected to the appropriate asymptotic component.Comment: 19 pages, plain te