4,512 research outputs found

    Exceptional sheaves on the Hirzebruch surface F₂

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    We investigate exceptional sheaves on the Hirzebruch surface F2\mathbb{F}_2, as the first attempt toward the classification of exceptional objects on weak del Pezzo surfaces.Comment: 25 page

    Field Redefinitions, T-duality and Solutions in Closed String Field Theories

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    We investigate classical solutions in closed bosonic string field theory and heterotic string field theory that are obtained order by order starting from solutions of the linearized equations of motion, and we discuss the ``field redefinitions'' which relate massless fields in the string field theory side and the low energy effective theory side. Massless components of the string field theory solutions are not corrected and from them we can infer corresponding solutions in the effective theory: the chiral null model and the pp-wave solution with B-field, which have been known to be alpha'-exact. These two sets of solutions in the two sides look slightly different because of the field redefinitions. It turns out that T-duality is a useful tool to determine them: We show that some part of the field redefinitions can be determined by using the correspondence between T-duality rules in the two sides, irrespective of the detail of the interaction terms and the integrating-out procedure. Applying the field redefinitions, we see that the solutions in the effective theory side are reproduced from the string field theory solutions.Comment: LaTeX, 40 pages, no figure v2: minor corrections v3: minor correctio

    An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD

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    An exploratory study is made of the nucleon-nucleon ss-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The π\pi-NN and π\pi-π\pi scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to mπ/mρ0.730.95m_\pi/m_\rho\approx 0.73-0.95. The results show that the NN-NN system has an attractive force in both spin-singlet and triplet channels, with their scattering lengths significantly larger than those for the π\pi-NN and π\pi-π\pi cases, a trend which is qualitatively consistent with the experiment. Problems toward a more realistic calculation for light quarks are discussed.Comment: 9 pages. Latex file. Figures are also included as ps file

    Renormalization of four-fermion operators for higher twist calculations

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    The evaluation of the higher twist contributions to Deep Inelastic Scattering amplitudes involves a non trivial choice of operator bases for the higher orders of the OPE expansion of the two hadronic currents. In this talk we discuss the perturbative renormalization of the four-fermion operators that appear in the above bases.Comment: LATTICE98(matrixelement), 3 page

    Tachyon Condensation with B-field

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    We discuss classical solutions of a graviton-dilaton-B_{\mu\nu}-tachyon system. Both constant tachyon solutions, including AdS_3 solutions, and space-dependent tachyon solutions are investigated, and their possible implications to closed string tachyon condensation are argued. The stability issue of the AdS_3 solutions is also discussed.Comment: 10 pages, references adde

    Tachyon Vacuum Solution in Open String Field Theory with Constant B Field

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    We show that Schnabl's tachyon vacuum solution is an exact solution of the equation of motion of Witten's open bosonic string field theory in the background of constant antisymmetric two-form field. The action computed at the vacuum solution is given by the Dirac-Born-Infeld factor multiplied to that without the antisymmetric tensor field.Comment: 8 page

    The off-shell Veneziano amplitude in Schnabl gauge

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    We give a careful definition of the open string propagator in Schnabl gauge and present its worldsheet interpretation. The propagator requires two Schwinger parameters and contains the BRST operator. It builds surfaces by gluing strips of variable width to the left and to the right of off-shell states with contracted or expanded local frames. We evaluate explicitly the four-point amplitude of off-shell tachyons. The computation involves a subtle boundary term, crucial to enforce the correct exchange symmetries. Interestingly, the familiar on-shell physics emerges even though string diagrams produce Riemann surfaces more than once. Off-shell, the amplitudes do not factorize over intermediate on-shell states.Comment: 48 pages, 10 figures. v2:acknowledgments adde

    Conformal Symmetry and A New Gauge in the Matrix Model

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    We generalize the background gauge in the Matrix model to propose a new gauge which is useful for discussing the conformal symmetry. In this gauge, the special conformal transformation (SCT) as the isometry of the near-horizon geometry of the D-particle solution is directly reproduced with the correct coefficient as the quantum correction to the SCT in the Matrix model. We also present a general argument for the relation between the gauge choice and the field redefinition in the Matrix model.Comment: 17 pages, LaTeX, no figures; v2: Introduction modified, references added and typos corrected; v3: Introduction changed; v4: Eq.(12) corrected; v5: final version to appear in Phys. Rev.

    Exact marginality in open string field theory: a general framework

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    We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly provide such renormalized operator products for a class of marginal deformations which include the deformations of flat D-branes in flat backgrounds by constant massless modes of the gauge field and of the scalar fields on the D-branes, the cosine potential for a space-like coordinate, and the hyperbolic cosine potential for the time-like coordinate. In our construction we use integrated vertex operators, which are closely related to finite deformations in boundary conformal field theory, while previous analytic solutions were based on unintegrated vertex operators. We also introduce a modified star product to formulate string field theory around the deformed background.Comment: 63 pages, 10 figures, LaTeX2