منابع مشابه
1 String as a Topological Model
The discrete states in the c = 1 string are shown to be the physical states of a certain topological sigma model. We define a set of new fields directly from c = 1 variables, in terms of which the BRST charge and energy-momentum tensor are rewritten as those of the topological sigma model. Remarkably, ground ring generator x turns out to be a coordinate of the sigma model. All of the discrete s...
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In this work we exploit the relationship with certain equivariant genera of isntanton moduli spaces to study the string partition functions of some local Calabi-Yau geometries, in particular, the Gopakumar-Vafa conjecture for them [8]. Gromov-Witten invariants are in general rational numbers. However as conjectured by Gopakumar and Vafa [8] using M-theory, the generating series of GromovWitten ...
متن کاملTopological String Partition Functions as Polynomials
We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.
متن کاملTopological String
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twistedˆc = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the super-Po...
متن کاملTowards a Topological G2 String
We define new topological theories related to sigma models whose target space is a 7 dimensional manifold of G2 holonomy. We show how to define the topological twist and identify the BRST operator and the physical states. Correlation functions at genus zero are computed and related to Hitchin’s topological action for three-forms. We conjecture that one can extend this definition to all genus an...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1994
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x94002387