Mostrando recursos 1 - 20 de 158

  1. Topological gauge theories on local spaces and black hole entropy countings

    Bonelli, Giulio; Tanzini, Alessandro
    We study cohomological gauge theories on total spaces of holomorphic line bundles over complex manifolds and obtain their reduction to the base manifold by $U(1)$-equivariant localization of the path integral. We exemplify this general mechanism by proving via exact path integral localization a reduction for local curves conjectured in hep-th/0411280, relevant to the calculation of black hole entropy/Gromov–Witten invariants. Agreement with the four-dimensional gauge theory is recovered by taking into account in the latter non-trivial contributions coming from one-loop fluctuation determinants at the boundary of the total space. We also study a class of abelian gauge theories on Calabi–Yau local...

  2. Instanton calculus and chiral one-point functions in supersymmetric gauge theories

    Fujii, Shigeyuki; Kanno, Hiroaki; Moriyama, Sanefumi; Okada, Soichi

  3. Positive Lyapunov exponents and localization bounds for strongly mixing potentials

    Sadel, Christian; Schulz-Baldes, Hermann
    For a one-dimensional discrete Schrödinger operator with a weakly coupled potential given by a strongly mixing dynamical system with power law decay of correlations, we derive for all energies including the band edges and the band center a perturbative formula for the Lyapunov exponent. Under adequate hypothesis, this shows that the Lyapunov exponent is positive on the whole spectrum. This in turn implies that the Hausdorff dimension of the spectral measure is zero and that the associated quantum dynamics grows at most logarithmically in time.

  4. Uniqueness of open/closed rational CFT with given algebra of open states

    Fjelstad, Jens; Fuchs, Jurgen; Runkel, Ingo; Schweigert, Christoph
    We study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly nonempty boundary. The boundary condition is taken to be the same on all segments of the boundary. The following uniqueness result is established: for a solution to the sewing constraints with nondegenerate closed state vacuum and nondegenerate two-point correlators of boundary fields on the disk and of bulk fields on the sphere, up to equivalence all correlators are uniquely determined by the one-, two- and three-point correlators on the disk. ¶ Thus for any such theory every consistent collection of correlators can be obtained by...

  5. Topological membranes with 3-form $H$ flux on generalized geometries

    Ikeda, Noriaki; Tokunaga, Tatsuya
    We construct topological string and topological membrane actions with a nontrivial 3-form flux $H$ in arbitrary dimensions. These models realize Bianchi identities with a nontrivial $H$ flux as consistency conditions. Especially, we discuss the models with a generalized $SU(3)$ structure, a generalized G2 structure and a generalized Spin(7) structure. These models are constructed from the AKSZ formulation of the Batalin–Vilkovisky formalism.

  6. Causal properties of AdS-isometry groups II: BTZ multi-black-holes

    Barbot, Thierry
    This paper is the continuation of Causal properties of AdS-isometry groups I: causal actions and limit sets. We essentially prove that the family of strongly causal spacetimes defined in Causal properties of AdS-isometry groups I: causal actions and limit sets associated to generic achronal subsets in Ein2 contains all the examples of BTZ multi-blackholes. It provides new elements for the global description of these multiblack-holes. We also prove that any strongly causal spacetime locally modeled on the anti-de Sitter space admits a well-defined maximal strongly causal conformal boundary locally modeled on Ein2.

  7. The inverse mean curvature flow in cosmological spacetimes

    Gerhardt, Claus
    We prove that the leaves of an inverse mean curvature flow provide a foliation of a future end of a cosmological spacetime $N$ under the necessary and sufficient assumptions that $N$ satisfies a future mean curvature barrier condition and a strong volume decay condition. Moreover, the flow parameter t can be used to define a new physically important time function.

  8. Gravitational collapse to toroidal and higher genus asymptotically AdS black holes

    Mena, Filipe C.; Natário, José; Tod, Paul
    We match collapsing inhomogeneous as well as spatially homogeneous but anisotropic spacetimes to vacuum static exteriors with a negative cosmological constant and planar or hyperbolic symmetry. The collapsing interiors include the inhomogeneous solutions of Szekeres and of Barnes, which in turn include the Lemaître–Tolman and the McVittie solutions. The collapse can result in toroidal or higher genus asymptotically $AdS$ black holes.

  9. Heterotic Kähler/non-Kähler Transitions

    Becker, Melanie; Tseng, Li-Sheng; Yau, Shing-Tung

  10. Another infinite tri-Sasaki family and marginal deformations

    Santillan, Osvaldo
    Several Einstein–Sasaki seven-metrics appearing in the physical literature are fibred over four-dimensional Kähler–Einstein metrics. Instead we consider here the natural Kähler–Einstein metrics defined over the twistor space $Z$ of any quaternion Kähler four-space, together with the corresponding Einstein–Sasaki metrics. We work out an explicit expression for these metrics and we prove that they are indeed tri-Sasaki. Moreover, we present a squashed version of them which is of weak $G2$ holonomy. We focus in examples with three commuting Killing vectors and we extend them to supergravity backgrounds with T3 isometry, some of them with $AdS4 × X7$ near horizon limit and...

  11. Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles

    Caporaso, Nicola; Cirafici, Michele; Griguolo, Luca; Pasquetti, Sara; Seminara, Domenico; Szabo, Richard J.
    We study the relations between two-dimensional Yang–Mills theory on the torus, topological string theory on a Calabi–Yau threefold whose local geometry is the sum of two line bundles over the torus, and Chern–Simons theory on torus bundles. The chiral partition function of the Yang–Mills gauge theory in the large $N$ limit is shown to coincide with the topological string amplitude computed by topological vertex techniques. We use Yang–Mills theory as an efficient tool for the computation of Gromov–Witten invariants and derive explicitly their relation with Hurwitz numbers of the torus. We calculate the Gopakumar–Vafa invariants, whose integrality gives a non-trivial...

  12. The su(2|2) Dynamic S-Matrix

    Beisert, Niklas

  13. Mapping the geometry of the F4 group

    Bernardoni, Fabio; Cacciatori, Sergio L.; Cerchiai, Bianca L.; Scotti, Antonio

  14. Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes

    Andersson, Lars; Mars, Marc; Simon, Walter

  15. Linear Models for Flux Vacua

    Adams, Allan; Ernebjerg, Morten; Lapan, Joshua M.

  16. Deformations and D-branes

    Bergman, Aaron
    I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from noncommutative deformations (i.e., B-fields) to terms in the superpotential.

  17. Invariant bundles on B-fibered Calabi-Yau spaces and the Standard Model

    Andreas, Björn; Curio, Gottfried

  18. Parameter Space of Quiver Gauge Theories

    Wijnholt, Martijn P.

  19. Topological T-duality and Kaluza–Klein monopoles

    Pande, Ashwin S.
    We study topological T-duality for spaces with a semi-free $S^{1}$-action with isolated fixed points. Physically, these correspond to spacetimes containing Kaluza–Klein monopoles. We demonstrate that the physical dyonic coordinate of such spaces has an analogue in our formalism. By analogy with the Dirac monopole, we study these spaces as gerbes. We study the effect of topological T-duality on these gerbes.

  20. Resolved toroidal orbifolds and their orientifolds

    Lüst, Dieter; Reffert, Susanne; Scheidegger, Emanuel; Stieberger, Stephan
    We discuss the resolution of toroidal orbifolds. For the resulting smooth Calabi–Yau manifolds, we calculate the intersection ring and determine the divisor topologies. In a next step, the orientifold quotients are constructed..

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