منابع مشابه
Emergent Calabi-Yau geometry.
We show how the smooth geometry of Calabi-Yau manifolds emerges from the thermodynamic limit of the statistical mechanical model of crystal melting defined in our previous paper. In particular, the thermodynamic partition function of molten crystals is shown to be equal to the classical limit of the partition function of the topological string theory by relating the Ronkin function of the chara...
متن کاملSupersymmetries in Calabi - Yau Geometry
We consider a class of Lie superalgebra, called spinc supersym-metry algebras, constructed from spinor representation. They are motivated by supersymmetry algebras used by physicists. On a Riemannian manifold, a KK ahler manifold, and a hyperkk ahler manifold respectively, it is known that some natural operators on the space of diierential forms span spinc (2), spinc(3) and spinc (5) supersymme...
متن کاملBubbling Calabi-Yau geometry from matrix models
We study bubbling geometry in topological string theory. Specifically, we analyse ChernSimons theory on both the 3-sphere and lens spaces in the presence of a Wilson loop of an arbitrary representation. For each three manifold, we formulate a multi-matrix model whose partition function is the Wilson loop vev and compute the spectral curve. This spectral curve is closely related to the Calabi-Ya...
متن کاملEnumerative Geometry of Calabi-Yau 5-Folds
The original recursions for A2(d) ≡ nd(ψ̃, H) and B1(d1, d2) ≡ nd1d2(|;H2) do not involve any of the other terms. Using Lemma 1, the formulas (A.2) and (A.3) can be shown to satisfy the two recursions. The original formula for A1(d) ≡ nd(ψ̃H) expresses A1(d) in terms of B1(d1, d2). The formula (A.1) follows from (A.3) and Lemma 2. Originally, there are also the terms nd(ψ̃H,H ), but it is not hard...
متن کاملLectures on complex geometry, Calabi–Yau manifolds and toric geometry
These are introductory lecture notes on complex geometry, Calabi–Yau manifolds and toric geometry. We first define basic concepts of complex and Kähler geometry. We then proceed with an analysis of various definitions of Calabi–Yau manifolds. The last section provides a short introduction to toric geometry, aimed at constructing Calabi–Yau manifolds in two different ways; as hypersurfaces in to...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2009
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.102.161601