D-Branes And Mirror Symmetry
By K. Hori, Amer Iqbal, C. Vafa. 2000
504 citations recorded by the source corpus.
We study (2,2) supersymmetric field theories on two-dimensional worldsheet with boundaries. We determine D-branes (boundary conditions and boundary interactions) that preserve half of the bulk supercharges in nonlinear sigma models, gauged linear sigma models, and Landau-Ginzburg models. We identify a mechanism for brane creation in LG theories and provide a new derivation of a link between soliton numbers of the massive theories and R-charges of vacua at the UV fixed point. Moreover we identify Lagrangian submanifolds that arise as the mirror of certain D-branes wrapped around � �
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b08a57c0291cd62d2b3c58b06232f56b3d1dd782
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Citations in the corpus
- More about vanishing cycles and mutation (2000, background): “Additional references. Hori, Iqbal and Vafa [ 14 ] discuss mirror symmetry for Fano varieties from a physics point of view.”
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models (2003, unknown): “R em ark 1.7.”
- Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary (2013, methodology): “The precise corrspondence between the original B-brane and the mirror A-brane was out of reach in the method of [12, 13].”
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves (2005, background): “Moreover, we also show that this mirror correspondence between derived categories can be extended to noncommutative deformations of Xk, and give an explicit correspondence between the deformation parameters for Xk and the cohomology class [B+ iω] ∈ H 2(Mk,C).”
- Hopfological algebra and categorification at a root of unity: The first steps (2005, methodology): “0 analogue (Proposition 8 below) are directly related to [ HIV ].”
- D branes in Landau-Ginzburg models and algebraic geometry (2002, background): “[ 12 , 17]. In particular, the mirrors of \exceptional" bundles on CPn have been identifled, and in the case of CP1 and CP2 it has been checked that morphisms between these bundles in the derived category of coherent sheaves on CPn agree with the Floer homology between their mirror”
- Brane tilings and their applications (2008, background): “This form of mirror Calabi-Yau geometry W is known since long ago [74, 75].”
- Mirror symmetry, D-branes and counting holomorphic discs (2000, methodology): “We then can solve (3.3) by introducing new fields ỹ mi i = yi in terms of which we have W = F (ỹi) = ∑ i ỹmii + e t/|Q| ∏ i ỹi.”
- Hartle–Hawking Wave-Function for Flux Compactifications: the Entropic Principle (2005, background): “Our main aim in this paper is to present a modest progress in this direction for compactifications which preserve supersymmetry, where exact computations are possible.”
- D-terms and F-terms from D7-brane fluxes (2005, background): “In this section we want to describe how the superpotential (3.54) can also be derived from the topological B-model [68].”
- Homological Mirror Symmetry for Toric del Pezzo Surfaces (2004, methodology): “mk : homA(c0, c1)[ 1 ] ⊗ � � � ⊗ homA(ck−1, ck)[1] −→ homA(c0, ck)[1]”