scholarly journals Mirror symmetry for K3 surfaces

2020 ◽  
Author(s):  
C. J. Bott ◽  
Paola Comparin ◽  
Nathan Priddis
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

K3 surfaces from configurations of six lines in $\mathbb{P}^{2}$ and mirror symmetry II—$\lambda _{K3}$-functions

2019 ◽  
Author(s):  
Shinobu Hosono ◽  
Bong H Lian ◽  
Shing-Tung Yau
Keyword(s):  
Moduli Space ◽  
Mirror Symmetry ◽  
Theta Functions ◽  
K3 Surfaces ◽  
Double Cover ◽  
Special Boundary ◽  
Higher Dimensional ◽  
Genus 2 ◽  
Local Solutions

Abstract We continue our study on the hypergeometric system $E(3,6)$ that describes period integrals of the double cover family of K3 surfaces. Near certain special boundary points in the moduli space of the K3 surfaces, we construct the local solutions and determine the so-called mirror maps expressing them in terms of genus 2 theta functions. These mirror maps are the K3 analogues of the elliptic $\lambda $-function. We find that there are two nonisomorphic definitions of the lambda functions corresponding to a flip in the moduli space. We also discuss mirror symmetry for the double cover K3 surfaces and their higher dimensional generalizations. A follow-up paper will describe more details of the latter.

scholarly journals The Berglund–Hübsch–Chiodo–Ruan mirror symmetry for K3 surfaces

2014 ◽  
Vol 102 (4) ◽  
pp. 758-781 ◽  
Author(s):  
Michela Artebani ◽  
Samuel Boissière ◽  
Alessandra Sarti
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

scholarly journals K3 surfaces, Lorentzian Kac–Moody algebras and Mirror Symmetry

1996 ◽  
Vol 3 (2) ◽  
pp. 211-229 ◽  
Author(s):  
Valeri A. Gritsenko ◽  
Viacheslav V. Nikulin
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

scholarly journals Categorial Mirror Symmetry for K3 Surfaces

1999 ◽  
Vol 206 (2) ◽  
pp. 265-272 ◽  
Author(s):  
C. Bartocci ◽  
U. Bruzzo ◽  
G. Sanguinetti
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

Mirror Symmetry on K3 Surfaces via Fourier-Mukai Transform

1998 ◽  
Vol 195 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Claudio Bartocci ◽  
Ugo Bruzzo ◽  
Daniel Hernández Ruipérez ◽  
José M. Muñoz Porras
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

scholarly journals The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order

2014 ◽  
Vol 18 (6) ◽  
pp. 1335-1368 ◽  
Author(s):  
Paola Comparin ◽  
Christopher Lyons ◽  
Nathan Priddis ◽  
Rachel Suggs
Keyword(s):  
Mirror Symmetry ◽  
Prime Order ◽  
K3 Surfaces ◽  
Symplectic Automorphisms

scholarly journals K3 surfaces from configurations of six lines in $\mathbb{P}^2$ and mirror symmetry I

2020 ◽  
Vol 14 (4) ◽  
pp. 739-783
Author(s):  
Shinobu Hosono ◽  
Bong H. Lian ◽  
Hiromichi Takagi ◽  
Shing-Tung Yau
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces

scholarly journals PERTURBATIVE DEFORMATIONS OF CONFORMAL FIELD THEORIES REVISITED

2010 ◽  
Vol 22 (02) ◽  
pp. 117-192
Author(s):  
IGOR KRIZ
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Mirror Symmetry ◽  
Free Field ◽  
K3 Surfaces ◽  
Point Of View ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Gepner Model

The purpose of this paper is to revisit the theory of perturbative deformations of conformal field theory from a mathematically rigorous, purely worldsheet point of view. We specifically include the case of N = (2,2) conformal field theories. From this point of view, we find certain surprising obstructions, which appear to indicate that contrary to previous findings, not all deformations along marginal fields exist perturbatively. This includes the case of deformation of the Gepner model of the Fermat quintic along certain cc fields. In other cases, including Gepner models of K3-surfaces and the free field theory, our results coincides with known predictions. We give partial interpretation of our results via renormalization and mirror symmetry.

scholarly journals Symplectic topology of $K3$ surfaces via mirror symmetry

2020 ◽  
Vol 33 (3) ◽  
pp. 875-915 ◽  
Author(s):  
Nick Sheridan ◽  
Ivan Smith
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces ◽  
Symplectic Topology

scholarly journals BHK mirror symmetry for K3 surfaces with non-symplectic automorphism

2020 ◽  
Author(s):  
Paola COMPARIN ◽  
Nathan PRIDDIS
Keyword(s):  
Mirror Symmetry ◽  
K3 Surfaces
Sign in / Sign up

Export Citation Format

Share Document