Autor: |
Baptiste Filoche, Stefan Hohenegger |
Jazyk: |
angličtina |
Rok vydání: |
2023 |
Předmět: |
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Zdroj: |
Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-45 (2023) |
Druh dokumentu: |
article |
ISSN: |
1029-8479 |
DOI: |
10.1007/JHEP08(2023)114 |
Popis: |
Abstract We discuss a class of Little String Theories (LSTs) whose low energy descriptions are supersymmetric gauge theories on the Ω-background with gauge group U(N) and matter in the adjoint representation. We show that the instanton partition function of these theories can be written in terms of Kronecker-Eisenstein series, which in a particular limit of the deformation parameters of the Ω-background organise themselves into Greens functions of free scalar fields on a torus. We provide a concrete identification between (differences of) such propagators and Nekrasov subfunctions. The latter are also characterised by counting specific holomorphic curves in a Calabi-Yau threefold X N,1 which engineers the LST. Furthermore, using the formulation of the partition function in terms of the Kronecker-Eisenstein series, we argue for new recursive structures which relate higher instanton contributions to products of lower ones. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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