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Article
Open AccessThe ALE partition functions of M-strings
We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a two-dimensional torus and an ALE singularity. We determine the result by ...
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Article
Open AccessHolomorphic anomalies, fourfolds and fluxes
We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the partition functions have an alternativ...
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Article
Open AccessQuasi-Jacobi forms, elliptic genera and strings in four dimensions
We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions ...
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Article
Open AccessSuperconformal partition functions and non-perturbative topological strings
We propose a non-perturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S5 and the superconformal index ...
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Article
Open AccessUniversal features of BPS strings in six-dimensional SCFTs
In theories with extended supersymmetry the protected observables of UV superconformal fixed points are found in a number of contexts to be encoded in the BPS solitons along an IR Coulomb-like phase. For six-d...
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Article
Open AccessTopological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
We apply the modular approach to computing the topological string partition function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira singularities in the fiber. The approach consists...
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Article
Open Access6d string chains
We consider bound states of strings which arise in 6d (1,0) SCFTs that are realized in F-theory in terms of linear chains of spheres with negative self-intersections 1,2, and 4. These include the strings assoc...
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Article
Open AccessOn exceptional instanton strings
According to a recent classification of 6d (1, 0) theories within F-theory there are only six “pure” 6d gauge theories which have a UV superconformal fixed point. The corresponding gauge groups are SU(3), SO(8), ...
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Article
M-Strings
M2 branes suspended between adjacent parallel M5 branes lead to light strings, the ‘M-strings’. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that preserve 2d (...