1,721,053 research outputs found
Exceptional field theory. II. E[subscript 7(7)]
No full textWe introduce the exceptional field theory for the group E[subscript 7(7)], based on a (4+56)-dimensional spacetime subject to a covariant section condition. The “internal” generalized diffeomorphisms of the coordinates in the fundamental representation of E[subscript 7(7)] are governed by a covariant “E-bracket,” which is gauged by 56 vector fields. We construct the complete and unique set of field equations that is gauge invariant under generalized diffeomorphisms in the internal and external coordinates. Among them are featured the non-Abelian twisted self-duality equations for the 56 gauge vectors. We discuss the explicit solutions of the section condition describing the embedding of the full, untruncated 11-dimensional and type IIB supergravity, respectively. As a new feature compared to the previously constructed E[subscript 6(6)] formulation, some components among the 56 gauge vectors descend from the 11-dimensional dual graviton but nevertheless allow for a consistent coupling by virtue of a covariantly constrained compensating 2-form gauge field.United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360
Exceptional Field Theory. I. E[subscript 6(6)]-Covariant Form of M-Theory and Type IIB
No full textWe present the details of the recently constructed E[subscript 6(6)]-covariant extension of 11-dimensional supergravity. This theory requires a 5 + 27-dimensional spacetime in which the “internal” coordinates transform in the [bar over 27] of E[subscript 6(6)]. All fields are E[subscript 6(6)] tensors and transform under (gauged) internal generalized diffeomorphisms. The “Kaluza-Klein” vector field acts as a gauge field for the E[subscript 6(6)]-covariant “E-bracket” rather than a Lie bracket, requiring the presence of 2-forms akin to the tensor hierarchy of gauged supergravity. We construct the complete and unique action that is gauge invariant under generalized diffeomorphisms in the internal and external coordinates. The theory is subject to covariant section constraints on the derivatives, implying that only a subset of the extra 27 coordinates is physical. We give two solutions of the section constraints: the first preserves GL(6) and embeds the action of the complete (i.e. untruncated) 11-dimensional supergravity; the second preserves GL(5) × SL(2) and embeds complete type IIB supergravity. As a byproduct, we thus obtain an off-shell action for type IIB supergravity.United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360
Double metric, generalized metric, and α′-deformed double field theory
Full text linkWe relate the unconstrained “double metric” of the “α′-geometry” formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field. This is achieved by integrating out auxiliary field components of the double metric in an iterative procedure that induces an infinite number of higher-derivative corrections. As an application, we prove that, to first order in α′ and to all orders in fields, the deformed gauge transformations are Green-Schwarz–deformed diffeomorphisms. We also prove that to first order in α′ the spacetime action encodes precisely the Green-Schwarz deformation with Chern-Simons forms based on the torsionless gravitational connection. This seems to be in tension with suggestions in the literature that T-duality requires a torsionful connection, but we explain that these assertions are ambiguous since actions that use different connections are related by field redefinitions.Deutsche Forschungsgemeinschaft (Heisenberg Fellowship)United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360
Exceptional field theory. III. E[subscript 8(8)]
No full textWe develop exceptional field theory for E[subscript 8(8)], defined on a (3 + 248)-dimensional generalized spacetime with extended coordinates in the adjoint representation of E[subscript 8(8)]. The fields transform under E[subscript 8(8)] generalized diffeomorphisms and are subject to covariant section constraints. The bosonic fields include an “internal” dreibein and an E[subscript 8(8)]-valued “zweihundertachtundvierzigbein” (248-bein). Crucially, the theory also features gauge vectors for the E[subscript 8(8)] E bracket governing the generalized diffeomorphism algebra and covariantly constrained gauge vectors for a separate but constrained E[subscript 8(8)] gauge symmetry. The complete bosonic theory, with a novel Chern-Simons term for the gauge vectors, is uniquely determined by gauge invariance under internal and external generalized diffeomorphisms. The theory consistently comprises components of the dual graviton encoded in the 248-bein. Upon picking particular solutions of the constraints the theory reduces to D = 11 or type IIB supergravity, for which the dual graviton becomes pure gauge. This resolves the dual graviton problem, as we discuss in detail.United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360
Perturbative double field theory on general backgrounds
Full text linkWe develop the perturbation theory of double field theory around arbitrary solutions of its field equations. The exact gauge transformations are written in a manifestly background covariant way and contain at most quadratic terms in the field fluctuations. We expand the generalized curvature scalar to cubic order in fluctuations and thereby determine the cubic action in a manifestly background covariant form. As a first application we specialize this theory to group manifold backgrounds, such as SU(2)≃S3 with H-flux. In the full string theory this corresponds to a Wess-Zumino-Witten background CFT. Starting from closed string field theory, the cubic action around such backgrounds has been computed before by Blumenhagen, Hassler, and Lüst. We establish precise agreement with the cubic action derived from double field theory. This result confirms that double field theory is applicable to arbitrary curved background solutions, disproving assertions in the literature to the contrary.Fil: Hohm, Olaf. Stony Brook University; Estados UnidosFil: Marques, Diego. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentin
T-duality constraints on higher derivatives revisited
Full text linkWe ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which the bosonic string action takes a Gauss-Bonnet-type form. By analyzing all field redefinitions that may or may not be duality covariant and may or may not be gauge covariant we extend the procedure to test T-duality starting from an action expressed in arbitrary field variables. We illustrate the method by showing that it determines uniquely the first-order α′ corrections of the bosonic string, up to terms that vanish in one dimension. We also use the method to glean information about the O[superscript α′2] corrections in the double field theory with Green-Schwarz deformation.Deutsche Forschungsgemeinschaft (DFG Heisenberg fellowship)United States. Dept. of Energy (DoE cooperative research agreement DE-FG02-05ER41360
Consistent type IIB reductions to maximal 5D supergravity
Full text linkWe use exceptional field theory as a tool to work out the full nonlinear reduction ansatz for the AdS[subscript 5] × S[superscript 5] compactification of IIB supergravity and its noncompact counterparts in which the sphere S[superscript 5] is replaced by the inhomogeneous hyperboloidal space H[superscript p,q]. The resulting theories are the maximal 5D supergravities with gauge groups SO(p,q). They are consistent truncations in the sense that every solution of 5D supergravity lifts to a solution of IIB supergravity. In particular, every stationary point and every holographic renormalization group flow of the scalar potentials for the compact and noncompact 5D gaugings directly lift to solutions of IIB supergravity.United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360)Deutsche Forschungsgemeinschaft (Heisenberg Fellowship
L∞ algebras and field theory
No full textWe review and develop the general properties of L∞algebras focusing on the gauge structure of the associated field theories. Motivated by the L∞homotopy Lie algebra of closed string field theory and the work of Roytenberg and Weinstein describing the Courant bracket in this language we investigate the L∞structure of general gauge invariant perturbative field theories. We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. We find that there is an L∞algebra for the gauge structure and a larger one for the full interacting field theory. Theories where the gauge structure is a strict Lie algebra often require the full L∞algebra for the interacting theory. The analysis suggests that L∞algebras provide a classification of perturbative gauge invariant classical field theories.German Science Foundation (DFG Heisenberg Fellowship)United States. Department of Energy (grant contract Number de-sc0012567
String Dualities at Order α′3
Full text linkWe compute the cosmological reduction of the fourth powers of the Riemann tensor claimed to arise in string theory at order α′3, with an overall coefficient proportional to ζ(3), and show that it is compatible with an O(9,9) symmetry. This confirms the general result in string theory, due to Sen [O(d)×O(d) symmetry of the space of cosmological solutions in string theory, scale factor duality and two-dimensional black holes, Phys. Lett. B 271, 295 (1991)PYLBAJ0370-269310.1016/0370-2693(91)90090-D], that classical string theory with d-dimensional translation invariance admits an O(d,d) symmetry to all orders in α′.Fil: Codina, Tomas. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Hohm, Olaf. Humboldt-Universität zu Berlin; AlemaniaFil: Marques, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentin
General string cosmologies at order α′3
Full text linkWe compute the cosmological reduction of general string theories, including bosonic, heterotic, and type II string theory to order α′3, i.e., with up to eight derivatives. To this end, we refine recently introduced methods that allow one to bring the reduced theory in one dimension to a canonical form with only first-order time derivatives. The resulting theories are compatible with a continuous O(d,d,R) invariance, which in turn fixes the B-field couplings.Fil: Codina, Tomas. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Humboldt-Universität zu Berlin; AlemaniaFil: Hohm, Olaf. Humboldt-Universität zu Berlin; AlemaniaFil: Marques, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentin
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