Folding approach to topological order enriched by mirror symmetry
نویسندگان
چکیده
منابع مشابه
Topological mirror symmetry with fluxes
Motivated by SU(3) structure compactifications, we show explicitly how to construct half–flat topological mirrors to Calabi–Yau manifolds with NS fluxes. Units of flux are exchanged with torsion factors in the cohomology of the mirror; this is the topological complement of previous differential–geometric mirror rules. The construction modifies explicit SYZ fibrations for compact Calabi–Yaus. Th...
متن کاملTopological LG Models Coupled to Gravity and Mirror Symmetry
In this paper, we will describe the mathematical foundation of topological Landau–Ginzburg (LG) models coupled to gravity at genus 0 in terms of primitive forms. In particular, we can give a natural explanation for the large phase space. We also discuss the mirror symmetry for Calabi–Yau manifolds and CP1 in our context. We see that the mirror partner of CP1 is the theory of primitive form asso...
متن کاملSymmetry Fractionalization and Topological Order
In this article, I would first introduce a new phase of matter with symmetry fractionalization and symmetry protected topological orders. Such a system is beyond Landau's symmetry breaking theory. For a symmetry protected topological ordered state, even without symmetry breaking, it is still different from a conventional non-symmetry breaking one as it cannot be adiabatically connected to a tri...
متن کاملTensor-entanglement-filtering renormalization approach and symmetry-protected topological order
entanglement-filtering renormalization approach and symmetry-protected topological order. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We study the renormalizat...
متن کاملIntroduction to the vertex algebra approach to mirror symmetry
The goal of this paper is to make the vertex operator algebra approach to mirror symmetry accessible to algebraic geometers. Compared to betterknown approaches using moduli spaces of stable maps and special Lagrangian fibrations, this approach follows more closely the original line of thinking that lead to the discovery of mirror symmetry by physicists. The ultimate goal of the vertex algebra a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2019
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.99.085128