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  1. Article

    Open Access

    The 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 ...

    Michele Del Zotto, Guglielmo Lockhart in Journal of High Energy Physics (2024)

  2. Article

    Open Access

    Holomorphic 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...

    Seung-Joo Lee, Wolfgang Lerche, Guglielmo Lockhart in Journal of High Energy Physics (2022)

  3. Article

    Open Access

    Quasi-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 ...

    Seung-Joo Lee, Wolfgang Lerche, Guglielmo Lockhart in Journal of High Energy Physics (2021)

  4. Article

    Open Access

    Superconformal 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 ...

    Guglielmo Lockhart, Cumrun Vafa in Journal of High Energy Physics (2018)

  5. Article

    Open Access

    Universal 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...

    Michele Del Zotto, Guglielmo Lockhart in Journal of High Energy Physics (2018)

  6. Article

    Open Access

    Topological 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...

    Michele Del Zotto, Jie Gu, Min-xin Huang in Journal of High Energy Physics (2018)

  7. Article

    Open Access

    6d 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...

    Abhijit Gadde, Babak Haghighat, Joonho Kim, Seok Kim in Journal of High Energy Physics (2018)

  8. Article

    Open Access

    On 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), ...

    Michele Del Zotto, Guglielmo Lockhart in Journal of High Energy Physics (2017)

  9. No Access

    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 (...

    Babak Haghighat, Amer Iqbal, Can Kozçaz in Communications in Mathematical Physics (2015)