Probing the moduli dependence of refined topological amplitudes

Antoniadis, Ignatios; Florakis, I.; Hohenegger, S.; Narain, K.S.; Zein Assi, A. (2015). Probing the moduli dependence of refined topological amplitudes. Nuclear physics. B, 901, pp. 252-281. North Holland 10.1016/j.nuclphysb.2015.10.016

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With the aim of providing a worldsheet description of the refined topological string, we continue the study of a particular class of higher derivative couplings Fg,n in the type II string effective action compactified on a Calabi–Yau threefold. We analyse first order differential equations in the anti-holomorphic moduli of the theory, which relate the Fg,n to other component couplings. From the point of view of the topological theory, these equations describe the contribution of non-physical states to twisted correlation functions and encode an obstruction for interpreting the Fg,n as the free energy of the refined topological string theory. We investigate possibilities of lifting this obstruction by formulating conditions on the moduli dependence under which the differential equations simplify and take the form of generalised holomorphic anomaly equations. We further test this approach against explicit calculations in the dual heterotic theory.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Antoniadis, Ignatios

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

North Holland

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

17 Dec 2015 14:28

Last Modified:

17 Dec 2015 14:28

Publisher DOI:

10.1016/j.nuclphysb.2015.10.016

BORIS DOI:

10.7892/boris.74086

URI:

https://boris.unibe.ch/id/eprint/74086

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