Abstract
We study little string theory (LST) compactified on T2, partially breaking supersymmetry by a discrete T-duality twist acting on both the Kähler and the complex structure of the torus. This setup gives raise to 4d N=3 models and it can be performed in both the type IIA and type IIB LSTs. We comment on the relation with other constructions proposed in the literature.
Highlights
The S-duality twist boils down to introduce a non–perturbative object in type IIB string theory, denoted as S-fold in [18], that generalizes the orientifold projection
In this short note we propose an alternative field theoretical mechanism, starting from a 6d non-local field theory, in which gravity is completely decoupled, but Tduality remains as a symmetry
These theories are known as little string theories (LST) [19,20,21] and they correspond to 6d theories with maximal supersymmetry, either N = (1, 1) or N = (2, 0)
Summary
Little string theories are non-local field theories in 5D and 6D [19]. They can be constructed considering k parallel and overlapping NS 5-branes and sending the string coupling gs → 0. T-duality on S1 ⊂ T2 can be used to exchange τ and ρ In this way we will be able to either associate the Kahler (in type IIB) or the complex structure (in type IIA) to the holomorphic gauge coupling. We study the type IIB case, where the identification is τgauge = ρ and we perform a T-duality on the torus considered above This can be done after fixing the metric and the B-field. The action of the generator T is instead associated to a shift of the B-field It this way we have recovered the action of SL(2, Z) on the Kahler structure of the torus on which we have compactified the type IIB LST.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
