272 Citations
(0,2) elephants
- Mathematics
- 2010
A bstractWe enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the “standard embedding” in three distinct ways. In the large radius…
Mirror Symmetry and Discriminants
- Mathematics
- 2017
We analyze the locus, together with multiplicities, of "bad" conformal field theories in the compactified moduli space of N=(2,2) superconformal field theories in the context of the generalization of…
Gromov-Witten Theory and Threshold Corrections
- Mathematics
- 2006
We present an overview of Gromov-Witten theory and its links with string theory compactifications, focussing on the GW potential as the generating function for topological string amplitudes at genus…
Mirror symmetry for Calabi-Yau hypersurfaces in weighted and extensions of Landau-Ginzburg theory
- MathematicsNuclear Physics B
- 1995
Mirror Principle I
- Mathematics
- 1997
Abstract. We propose and study the following Mirror Principle: certain sequences of multiplicative equivariant characteristic classes on Kontsevich’s stable map moduli spaces can be computed in terms…
Flop transitions in M theory cosmology
- Physics
- 2003
We study flop-transitions for M-theory on Calabi-Yau three-folds and their applications to cosmology in the context of the effective five-dimensional supergravity theory. In particular, the…
A G ] 8 M ar 2 01 8 Mirror symmetry , mixed motives and ζ ( 3 )
- Mathematics
- 2018
In this paper, we formulate a natural conjecture on the location of mixed Tate motives in Voevodsky’s triangulated category of motives over Q. This conjecture is almost certainly well-known to…
String Duality and Enumeration of Curves by Jacobi Forms
- Mathematics
- 1998
For a Calabi-Yau threefold admitting both a K3 fibration and an elliptic fibration (with some extra conditions) we discuss candidate asymptotic expressions of the genus 0 and 1 Gromov-Witten…
References
SHOWING 1-10 OF 29 REFERENCES
Compactifications of moduli spaces inspired by mirror symmetry
- Mathematics
- 1993
We study moduli spaces of nonlinear sigma-models on Calabi-Yau manifolds, using the one-loop semiclassical approximation. The data being parameterized includes a choice of complex structure on the…
Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties
- Mathematics
- 1993
We formulate general conjectures about the relationship between the A-model connection on the cohomology of ad-dimensional Calabi-Yau complete intersectionV ofr hypersurfacesV1,...,Vr in a toric…
Picard-Fuchs equations and mirror maps for hypersurfaces
- Mathematics
- 1991
We describe a strategy for computing Yukawa couplings and the mirror map, based on the Picard-Fuchs equation. (Our strategy is a variant of the method used by Candelas, de la Ossa, Green, and Parkes…
Rational curves on Calabi-Yau manifolds: verifying predictions of mirror symmetry
- Mathematics
- 1993
Mirror symmetry, a phenomenon in superstring theory, has recently been used to give tentative calculations of several numbers in algebraic geometry. In this paper, the numbers of lines and conics on…
Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
- Mathematics
- 1993
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for…
Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Mathematics
- 1993
We consider families ${\cal F}(\Delta)$ consisting of complex $(n-1)$-dimensional projective algebraic compactifications of $\Delta$-regular affine hypersurfaces $Z_f$ defined by Laurent polynomials…
Mirror maps and instanton sums for complete intersections in weighted projective space
- Mathematics
- 1994
We consider a class of Calabi-Yau compactifications which are constructed as a complete intersection in weighted projective space. For manifolds with one Kahler modulus we construct the mirror…