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Mirror symmetry formulae for the elliptic genus of complete intersections

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In this paper, we calculate the elliptic genus of certain complete intersections in products of projective spaces. We show that it is equal to the elliptic genus of the Landau-Ginzburg modelsthat are, according to Hori and Vafa, mirror partners of these complete intersections. This provides additional evidence of the validity of their construction.

Author(s): Gorbounov V., Ochanine S.
Year: 2008

Language: English
Pages: 17

Landau--Ginzburg orbifolds and their elliptic genus......Page 2
Regular representations......Page 3
Generalized Jacobi functions......Page 4
The divisor of a Jacobi function......Page 5
Jacobi functions on the Tate curve......Page 6
A special case......Page 7
Modulus and normalization on the Tate curve......Page 9
Complete intersections......Page 10
The level 2 case......Page 13
A different approach for the level 2 case......Page 14
References......Page 16