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25
Dualization of dualities II: twisted selfduality of doubled fields and superdualities
, 1998
"... We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted selfduality condition on the total field strength G, which ..."
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Cited by 101 (11 self)
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We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted selfduality condition on the total field strength G, which takes its values in a Lie superalgebra. This doubling is invariant under dualisations; it allows a unification of the gauge symmetries of all degrees, including the usual Udualities that have degree zero. These “superdualities” encompass the dualities for all choices of polarisation (i.e. the choices between fields and their duals). All gauge symmetries appear as subgroups of finitedimensional supergroups, with Grassmann coefficients in the differential algebra of the spacetime manifold.
Instanton cosmology and domain walls from Mtheory and string theory, Nucl. Phys
 B
, 1999
"... 4 The recent proposal by Hawking and Turok for obtaining an open inflationary universe from singular instantons makes use of lowenergy effective Lagrangians describing gravity coupled to scalars and nonpropagating antisymmetric tensors. In this paper we derive some exact results for Lagrangians of ..."
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Cited by 46 (17 self)
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4 The recent proposal by Hawking and Turok for obtaining an open inflationary universe from singular instantons makes use of lowenergy effective Lagrangians describing gravity coupled to scalars and nonpropagating antisymmetric tensors. In this paper we derive some exact results for Lagrangians of this type, obtained from spherical compactifications of Mtheory and string theory. In the case of the S7 compactification of Mtheory, we give a detailed discussion of the cosmological solutions. We also show that the lowerdimensional Lagrangians admit domainwall solutions, which preserve one half of the supersymmetry, and which approach AdS spacetimes near their horizons. 1 Research supported in part by the EC under TMR contract ERBFMBICT972344.
Fivebrane instanton corrections to the universal hypermultiplet
 Nucl. Phys. B 697
"... We analyze the NeveuSchwarz fivebrane instanton in type IIA string theory compactifications on rigid CalabiYau threefolds, in the lowenergy supergravity approximation. It there appears as a finite action solution to the Euclidean equations of motion of a doubletensor multiplet (dual to the unive ..."
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Cited by 20 (5 self)
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We analyze the NeveuSchwarz fivebrane instanton in type IIA string theory compactifications on rigid CalabiYau threefolds, in the lowenergy supergravity approximation. It there appears as a finite action solution to the Euclidean equations of motion of a doubletensor multiplet (dual to the universal hypermultiplet) coupled to N=2, D=4 supergravity. We determine the bosonic and fermionic zero modes, and the singlecentered instanton measure on the moduli space of collective coordinates. The results are then used to compute, in the semiclassical approximation, correlation functions that nonperturbatively correct the universal hypermultiplet moduli space geometry of the lowenergy effective action. We find that only the RamondRamond sector receives corrections, and we discuss the breaking of
Mtheory/heterotic duality: A KaluzaKlein perspective,” Nucl. Phys. B548
, 1999
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Timelike Tduality algebra
 JHEP
, 2004
"... When compactifying M or type II stringtheories on tori of indefinite spacetime signature, their low energy theories involve sigma models on En(n)/Hn, where Hn is a not necessarily compact subgroup of En(n) whose complexification is identical to the complexification of the maximal compact subgro ..."
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Cited by 12 (1 self)
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When compactifying M or type II stringtheories on tori of indefinite spacetime signature, their low energy theories involve sigma models on En(n)/Hn, where Hn is a not necessarily compact subgroup of En(n) whose complexification is identical to the complexification of the maximal compact subgroup of En(n). We discuss how to compute the group Hn. For finite dimensional En(n), a formula derived from the theory of real forms of En algebra’s gives the possible groups immediately. A few groups that have not appeared in the literature are found. For n = 9, 10, 11 we compute and describe the relevant real forms of En and Hn. A given Hn can correspond to multiple signatures for the compact torus. We compute the groups Hn for all compactifications of M, M ∗, and M ′theories, and type II II ∗ and II ′theories on tori of arbitrary signature, and collect them in tables that outline the dualities between them. In an appendix we list cosets G/H, with G split and H a subgroup of G, that are relevant to timelike toroidal compactifications and oxidation of theories with enhanced symmetries.
Standard Cosmology from SigmaModel
, 2000
"... We investigate (4+1) and (5+0)dimensional gravity coupled to a noncompact scalar field sigmamodel and a perfect fluid within the context of the Randall–Sundrum scenario. We find cosmological solutions with a rolling fifth radius and a family of warp factors. Included in this family are both the ..."
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Cited by 3 (1 self)
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We investigate (4+1) and (5+0)dimensional gravity coupled to a noncompact scalar field sigmamodel and a perfect fluid within the context of the Randall–Sundrum scenario. We find cosmological solutions with a rolling fifth radius and a family of warp factors. Included in this family are both the original Randall–Sundrum solution and the selftuning solution of Kachru, Schulz and Silverstein. Our solutions exhibit conventional cosmology.
Uduality as general coordinate transformations, and spacetime geometry
"... We show that the full global symmetry groups of all the Ddimensional maximal supergravities can be described in terms of the closure of the internal general coordinate transformations of the toroidal compactifications of D = 11 supergravity and of type IIB supergravity, with type IIA/IIB Tduality ..."
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Cited by 3 (2 self)
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We show that the full global symmetry groups of all the Ddimensional maximal supergravities can be described in terms of the closure of the internal general coordinate transformations of the toroidal compactifications of D = 11 supergravity and of type IIB supergravity, with type IIA/IIB Tduality providing an intertwining between the two pictures. At the quantum level, the part of the Uduality group that corresponds to the surviving discretised internal general coordinate transformations in a given picture leaves the internal torus invariant, while the part that is not described by internal general coordinate transformations can have the effect of altering the size or shape of the internal torus. For example, Mtheory compactified on a large torus T n can be related by duality to a compactification on a small torus, if and only if n ≥ 3. We also discuss related issues in the toroidal compactification of the selfdual string to D = 4. An appendix includes the complete results for the toroidal reduction of the bosonic sector of type IIB supergravity to arbitrary dimensions D ≥ 3.
Higher dimensional KaluzaKlein monopoles,” [arXiv:hepth/0505114
"... It is well known that the KaluzaKlein monopole of Sorkin, Gross and Perry can be obtained from the Euclidean TaubNUT solution with an extra compact fifth spatial dimension via KaluzaKlein reduction. In this paper we consider TaubNUTlike solutions of the vacuum Einstein field equations, with or ..."
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Cited by 2 (2 self)
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It is well known that the KaluzaKlein monopole of Sorkin, Gross and Perry can be obtained from the Euclidean TaubNUT solution with an extra compact fifth spatial dimension via KaluzaKlein reduction. In this paper we consider TaubNUTlike solutions of the vacuum Einstein field equations, with or without cosmological constant, in five dimensions and higher, and similarly perform KaluzaKlein reductions to obtain new magnetic KK brane solutions in higher dimensions, as well as further sphere reductions to magnetic monopoles in four dimensions. In six dimensions we also employ spatial and timelike Hopf dualities to untwist the circle fibration characteristic to these spaces and obtain charged strings. A variation of these methods in ten dimensions leads to a nonuniform electric string in fivedimensions.
Instantons and Wormholes In Minkowski and (A)dS Spaces
, 2002
"... Instanton and wormhole solutions are constructed in a ddimensional gravity theory with an axiondilaton pair of scalar fields. We discuss the cases of vanishing, positive and negative cosmological constant. ..."
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Cited by 2 (0 self)
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Instanton and wormhole solutions are constructed in a ddimensional gravity theory with an axiondilaton pair of scalar fields. We discuss the cases of vanishing, positive and negative cosmological constant.