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Search: authors:"Aradhita Chattopadhyaya"

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Gravitational couplings in \( \mathcal{N}=2 \) string compactifications and Mathieu Moonshine

Abstract We evaluate the low energy gravitational couplings, Fg in the heterotic E8 ×E8 string theory compactified on orbifolds of K3 × T 2 by g′ which acts as a ℤ N automorphism on K3 together with a 1/N shift along T 2. The orbifold g′ corresponds to the conjugacy classes of the Mathieu group M24. The holomorphic piece of F g is given in terms of a polylogarithm with index 3−2g...

\( \mathcal{N} \) =2 heterotic string compactifications on orbifolds of K3 × T 2

We study \( \mathcal{N} \) = 2 compactifications of E 8 × E 8 heterotic string theory on orbifolds of K3 × T 2 by g ′ which acts as an \( {\mathbb{Z}}_N \) automorphism of K3 together with a 1/N shift on a circle of T 2. The orbifold action g ′ corresponds to the 26 conjugacy classes of the Mathieu group M 24. We show that for the standard embedding the new supersymmetric index...