Orientifolds and mirror symmetry

By I. Brunner, K. Hori. 2003

156 citations recorded by the source corpus.

We study parity symmetries and crosscap states in classes ofN =2 supersymmetric quantum eld theories in 1 + 1 dimensions, including non-linear sigma models, gauged WZW models, Landau-Ginzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many of them. The case of the N = 2 minimal model are studied in complete detail, from all three realizations | gauged WZW model, abstract RCFT, and LG models. We also identify mirror pairs of orientifolds, extending the correspondence between symplectic geometry and algebraic geometry by including unorientable worldsheets. Through the analysis in various models and comparison in the overlapping regimes, we obtain a global picture of orientifolds and D-branes.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/47e34d583d8cb7ed3301331c59521f3c03985bda

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Citations in the corpus

New aspects of Heterotic–F-theory duality (2008, background): “d chiral multiplets in the 10 representation of SU(5)GUT are localized on a curve ¯c10 that is the intersection of Σ and an O7-plane. The chirality formula in the Type IIB string theory is given29 by [38, 39, 1] χ(10) = 2 Z ¯c10 F 2π − B (2π)2α′ . (286) The net chirality can also be expressed in t”
Fixing all moduli in a simple f-theory compactification (2005, background): “The 7-branes also contribute to the D3 tadpole, through the “anomalous” couplings of RR-fields to worldvolume curvature [55,28,95,29,23,24].”
The effective action of type II Calabi‐Yau orientifolds (2004, methodology): “One expects mirror symmetry to be also present in the orientifold versions of such compactifications [8, 10 ].”
Generalized N=1 orientifold compactifications and the Hitchin functionals (2006, background): “Correspondingly, depending on the transformation properties of two different symmetry operations are possible [90, 91, 8, 10 ]”
The effective action of D7-branes in N=1 Calabi-Yau orientifolds (2004, unknown): “[44] [45] [17] [20] [21] [41].”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “For applications of this theorem in the physics literature see for instance [38–40].”
D-terms and F-terms from D7-brane fluxes (2005, background): “In D-brane models this can be arranged by compactifying on six-dimensional Calabi-Yau orientifolds which leave an N = 1 supersymmetry unbroken [2, 3, 4 , 5]. This N = 1 can be broken spontaneously by additionally turning on background fluxes in the orientifold bulk [6, 7, 8, 9, 10, 11, 12, 13, 14, ”
Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes (2003, background): “For branes which coincide with orientifold planes the gauge groups are either SO(N) or Sp(N) depending on the type of orientifold plane[44].”
Phases Of N=2 Theories In 1+1 Dimensions With Boundary (2008, background): “(2.77) If 1 ≤ n ≤ d − 1, this brane is believed to flow to the conformally invariant boundary condition in the minimal model known as the Cardy brane with L = (n − 1) (see for example [35] for Cardy branes in RCFTs, [36, 37] for D-branes in (2, 2) minimal models and [38, 39] for relation to LG brane”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “Due to the holomorphic action of σ∗, the latter splits the cohomology groups Hp,q(X ) into a direct sum of an even eigenspaceH + (X ) and an odd eigenspaceH − (X ) [334].”
Flux compactifications in string theory: A Comprehensive review (2005, background): “A consistent truncation of the spectrum is obtained when the theory is modded out by (−1)LΩpσ, where FL is the space-time fermion number in the left moving sector, and Ωp is the world–sheet parity, which exchanges left and right movers [126, 127, 115].”
Les Houches Lectures on Constructing String Vacua (2008, background): “X)+h 1,1 − (X) M2 positions 6N D3 D3 positions 6N D3 The subscripts ±denote the Hodge numbers counting the even resp. odd parts of the relevant cohomology under the geometrical orientifold involution [73].15 For simplicity we will assume that h2,1(Z) = 0. This implies in particular that there are no”
The e ective action of N = 1 Calabi - Yau orientifolds (2004, methodology): “ntifolds Before computing the eﬀective action let us ﬁrst determine the massless spectrum when the orientifold projection is taken into account and see how the ﬁelds assemble in N = 1 supermultiplets [36]. In the four-dimensional compactiﬁed theory only states invariant under the projection are kept”
Distributions of flux vacua (2004, background): “There are n = h2,1− (Y ) complex structure moduli of Y surviving the orientifold projec- tion, and 2h2,1− (Y )+ 2 fluxes can be turned on [7, 25].”
Landau-Ginzburg Realization of Open String TFT (2003, background): “These steps have been performed in [33], and we refer to that paper for a detailed discussion.”
G-flux in F-theory and algebraic cycles (2011, unknown): “It was shown in [70, 86] that the chiral index for the spectrum between a brane and its orientifold image is given by: Io(Γ) = 1 2 ( 〈Γ,Γ〉+ 1 4 〈ΓO7,Γ〉 ) , (5.”
Topological Correlators in Landau-Ginzburg Models with Boundaries (2003, unknown): “e-print archive: http://lanl.arXiv.org/abs/hep-th/0305136”