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We perform an exotic dualization of the Ramond-Ramond fields in type II double field theory, in which they are encoded in a Majorana-Weyl spinor of O(D,D). Starting from a first-order master action, the dual theory in terms of a tensor-spinor of O(D,D) is determined. This tensor-spinor is subject to an exotic version of the (self-)duality constraint needed for a democratic formulation. We show that in components, reducing O(D,D) to GL(D), one obtains the expected exotically dual theory in terms of mixed Young tableaux fields. To this end, we generalize exotic dualizations to self-dual fields, such as the 4-form in type IIB string theory., 14 pages, v2: refs. added, to appear in PLB

We probe doubled geometry with dual fundamental branes, i.e. solitons. Restricting ourselves first to solitonic branes with more than two transverse directions we find that the doubled geometry requires an effective wrapping rule for the solitonic branes which is dual to the wrapping rule for fundamental branes. This dual wrapping rule can be understood by the presence of Kaluza-Klein monopoles. Extending our analysis to supersymmetric solitonic branes with less than or equal to two transverse directions we show that such solitons are precisely obtained by applying the same dual wrapping rule to these cases as well. This extended wrapping rule can not be explained by the standard Kaluza-Klein monopole alone. Instead, it suggests the existence of a class of generalized Kaluza-Klein monopoles in ten-dimensional string theory., 16 pages

We obtain the M5-M2-MW bound state solutions of 11-dimensional supergravity corresponding to the 1/2 supersymmetric vacua of the M5-brane equations with constant background fields. In the `near-horizon' case the solution interpolates between the $adS_7\times S^4$ Kaluza-Klein vacuum and D=11 Minkowski spacetime via a Domain Wall spacetime. We discuss implications for renormalization group flow of (2,0) D=6 field theories., 8 pp. Latex. Minor corrections made in revised version

We show that all branes admit worldvolume domain wall solutions. We find one class of solutions for which the tension of the brane changes discontinuously along the domain wall. These solutions are not supersymmetric. We argue that there is another class of domain wall solutions which is supersymmetric. A particular case concerns supersymmetric domain wall solutions on IIB D-5- and NS-5-branes., Comment: 18 pages, Tex, uses phyzzx

We perform a generalised Scherk-Schwarz reduction of the effective action of the heterotic string on T^6 to obtain a massive N=4 supergravity theory in four dimensions. The local symmetry-group of the resulting d=4 theory includes a Heisenberg group, which is a subgroup of the global O(6,6+n) obtained in the standard reduction. We show explicitly that the same theory can be obtained by gauging this Heisenberg group in d=4, N=4 supergravity., Comment: 11 pages, LaTeX, no figures, one reference added

Starting from the new minimal multiplet of supergravity in $2+2$ dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of motion following from the Hilbert-Einstein type supergravity action. The other one involves a self-duality condition on a {\it torsionful} Riemann curvature with the torsion given by the field-strength of an antisymmetric tensor field, and implies the equations of motion that follow from an $R^2$-type action., Comment: 11 pages (TEX), UG-4/92 and CTP TAMU-46/92

We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an $N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum $N=2\ W_N$-supergravity theories containing a finite number of higher-spin symmetries with superspin $s\le N$. As an example we discuss the case of quantum $N=2\ W_3$-supergravity., Comment: 44 pages

We discuss the notion of higher-spin covariance in w∞ gravity. We show how a recently proposed covariant w∞ gravity action can be obtained from non-chiral w∞ gravity by making field redefinitions that introduce new gauge-field components with corresponding new gauge transformations.

We present the super-W∞(λ) algebra, an extension of the Virasoro algebra that contains operators of all spins s⩾ 1 2 and depends on an arbitrary parameter λ. It encompasses all previously known versions of W∞-type algebras as special cases. We discuss various properties and truncations of the algebra and present a realization in terms of the currents of a supersymmetric bc system.

By using a gauge condition and a change of variables different from the previous treatment of the ten-dimensional superparticle, we get a gauge-fixed action which is both quadratic and free and gives a correct counting of propagating field degrees of freedom. We explicitly show that the gauge-fixed action is BRST invariant and that the BRST charge is nilpotent off shell. In this way we have solved the constraints on the BRST symmetry, which existed in a previous quantization.

We discuss the conditions under which the BRST operator of a $W$-string can be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the non-critical $W_3$-string. Furthermore, we apply our results to make a conjecture about a relationship between the spectrum of a non-critical $W_n$-string and a $W_{n-1}$-string., 12 pages, UG-2/93, UCB-PTH-93/05, LBL-33737 (equations (30) and (31) have been corrected)

We construct a supersymmetric extension of the Lorentz and Yang-Mills Chern-Simons terms in ten dimensions. In terms of dimensionful parameters α(Lorentz) and β (Yang-Mills), we obtain the complete O( α ) supersymmetrization. Furthermore, we present the leading O( α 2 ) and O( αβ ) corrections required by supersymmetry, and conjecture that the result is complete to this order. Finally, we briefly discuss the O( α 3 ) and O( αβ 2 ) modifications. A crucial ingredient in these constructions is the existence of an intimate relationship between the ten-dimensional supergravity and Yang-Mills multiplets.

We present new spacetime algebras whose existence is due to special Γ-matrix identied which are also necessary for the existence of super p -branes. They contain a p th-rank antisymmetric tensor, and a ( p -1-rank) antisymmetric tensor-spinor generator. Furthermore the translations do not commute with the supercharge. In the case of supermembranes, we find a super-Kac-Moody extension of the new spacetime algebra. We give a realization of the algebra in terms of operators in d =11 superspace, and find a connection with the d =11 supermembrane action which leads to an elegant supergeometric formulation. By double dimensional reduction, we obtain a Kac-Moody algebra for the Type IIA Green-Schwarz superstring. We also discuss the generalization of these results, including the construction of generalized super-Virasoro algebras, for super p -branes.

The constraints on the supergeometry of D = 3,4,6,10 curved superspace, required for the coupling of supergravity to the Green-Schwarz superstring, are determined. We show that these are consistent with off-shell supergravity or super-Yang-Mills backgrounds for the superstring for D = 3,4,6.

We construct new vacua for the eleven-dimensional supermembrane in which spacetime is the product of four-dimensional anti-de Sitter space and a compact seven-dimensional Einstein space, and the membrane is a sphere of non-zero radius in the anti-de Sitter space. In one class of solution the radius is a specific multiple of the anti-de Sitter scale parameter while in a second class the radius is arbitrary. Remarkably, only two of the Freund-Rubin compactifications admit vacua of the latter class: the round seven-sphere with N=8 supersymmetry and the N(0, 1) space with N=3 supersymmetry.