11,954 research outputs found

    Anticommutativity Equation in Topological Quantum Mechanics

    Get PDF
    We consider topological quantum mechanics as an example of topological field theory and show that its special properties lead to numerous interesting relations for topological corellators in this theory. We prove that the generating function F\mathcal{F} for thus corellators satisfies the anticommutativity equation (D−F)2=0(\mathcal{D}- \mathcal{F})^2=0. We show that the commutativity equation [dB,dB]=0[dB,dB]=0 could be considered as a special case of the anticommutativity equation.Comment: 6 pages, no figures, Late

    Role of Short Distance Behavior in Off-Shell Open-String Field Theory

    Full text link
    A recent proposal for a background independent open string field theory is studied in detail for a class of backgrounds that correspond to general quadratic boundary interactions on the world-sheet. A short-distance cut-off is introduced to formulate the theory with a finite number of local and potentially unrenormalizable boundary couplings. It is shown that renormalization of the boundary couplings makes both the world-sheet partition function and the string field action finite and cut-off independent, although the resulting string field action has an unpalatable dependence on the leading unrenormalizable coupling.Comment: 16 page

    A Relation Between Gravity in (3+1)(3+1)--Dimensions and Pontrjagin Topological Invariant

    Get PDF
    A relation between the MacDowell-Mansouri theory of gravity and the Pontrjagin toplogical invariant in (3+1)(3+1) dimensions is discussed. This relation may be of especial interest in the quest of finding a mechanism to go from non-dynamical to dynamical gravity.Comment: 9 pages, Te

    Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

    Get PDF
    The theta dependent of pure gauge theories in four dimensions can be studied using a duality of large N gauge theories with string theory on a certain spacetime. Via this duality, one can argue that for every theta, there are infinitely many vacua that are stable in the large N limit. The true vacuum, found by minimizing the energy in this family, is a smooth function of theta except at theta equal to pi, where it jumps. This jump is associated with spontaneous breaking of CP symmetry. Domain walls separating adjacent vacua are described in terms of wrapped sixbranes.Comment: 8 p

    Categories of holomorphic line bundles on higher dimensional noncommutative complex tori

    Get PDF
    We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of Heisenberg modules over the complex noncommutative tori. Also, we present the explicit composition formula of morphisms, which in fact depends on the noncommutativity.Comment: 28 page

    Mirror Symmetry of Calabi-Yau Supermanifolds

    Full text link
    We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP^{3|2} which is a Calabi-Yau supermanifold and appeared in hep-th/0312171(Witten) in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kahler parameter of WCP^{3|2}. The other is some patch of a degree 3 Calabi-Yau hypersurface in CP^2 fibered by the complex plane whose coordinate depends on both above four variables and Kahler parameter but its dependence behaves quite differently.Comment: 12pp; the last paragraph of section 1 improved and some clarifications adde

    Some Computations in Background Independent Open-String Field Theory

    Full text link
    Recently, background independent open-string field theory has been formally defined in the space of all two-dimensional world-sheet theories. In this paper, to make the construction more concrete, I compute the action for an off-shell tachyon field of a certain simple type. From the computation it emerges that, although the string field action does not coincide with the world-sheet (matter) partition function in general, these functions do coincide on shell. This can be demonstrated in general, as long as matter and ghosts are decoupled.Comment: 14 p

    A Holographic Prediction of the Deconfinement Temperature

    Get PDF
    We argue that deconfinement in AdS/QCD models occurs via a first order Hawking-Page type phase transition between a low temperature thermal AdS space and a high temperature black hole. Such a result is consistent with the expected temperature independence, to leading order in 1/N_c, of the meson spectrum and spatial Wilson loops below the deconfinement temperature. As a byproduct, we obtain model dependent deconfinement temperatures T_c in the hard and soft wall models of AdS/QCD. Our result for T_c in the soft wall model is close to a recent lattice prediction.Comment: 4 pages, 1 figure; v2 ref added, minor changes; v3 refs added, discussion modified, to appear in PR