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Théorie des Champs & Physique Mathématique
(9) Production(s) de l'année 2022
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D-instantons in string compactifications 
Auteur(s): Alexandrov S.
Conference: Eurostrings 2022 (Lyon, FR, 2022-04-25)
Ref HAL: hal-03664123_v1
Exporter : BibTex | endNote
Résumé: Euclidean D-branes wrapped on non-trivial cycles of a Calabi-Yau threefold are known to affect the metric on the hypermultiplet moduli space determining the effective action of type II strings on such manifolds. After reviewing the existing results on the instanton corrected metric following from a combination of constraints imposed by supersymmetry and dualities, I'll show how the D-instanton effects can be computed by a direct worldsheet approach. It required solving several conceptual and technical problems and has recently been extended to compactifications with lower supersymmetry. The talk is based on joint work with A. Sen and B. Stefanski.
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Rank $N$ Vafa-Witten invariants, modularity and blow-up
Auteur(s): Alexandrov S.
(Article) Publié:
Advances In Theoretical And Mathematical Physics, vol. 25 p.275-308 (2022)
Texte intégral en Openaccess : 
Ref HAL: hal-02878251_v1
Ref Arxiv: 2006.10074
DOI: 10.4310/ATMP.2021.v25.n2.a1
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé: We derive explicit expressions for the generating functions of refined Vafa-Witten invariants $\Omega(\gamma,y)$ of $\mathbb{P}^2$ of arbitrary rank $N$ and for their non-holomorphic modular completions. In the course of derivation we also provide: i) a generalization of the recently found generating functions of $\Omega(\gamma,y)$ and their completions for Hirzebruch and del Pezzo surfaces in the canonical chamber of the moduli space to a generic chamber; ii) a version of the blow-up formula expressed directly in terms of these generating functions and its reformulation in a manifestly modular form.
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