A toolkit for twisted chiral superfields
| Autor: | Nana Cabo Bizet, Roberto Santos-Silva |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Sigma model High Energy Physics::Lattice Scalar (mathematics) FOS: Physical sciences Superspace 01 natural sciences Superspaces Theoretical physics High Energy Physics::Theory 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Mathematical Physics Boson Physics 010308 nuclear & particles physics Superpotential High Energy Physics::Phenomenology Mathematical Physics (math-ph) Fermion Chiral superfield High Energy Physics - Theory (hep-th) Supersymmetry and Duality lcsh:QC770-798 Mirror symmetry Duality in Gauge Field Theories Sigma Models |
| Zdroj: | Journal of High Energy Physics, Vol 2020, Iss 1, Pp 1-25 (2020) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| Popis: | We calculate the most general terms for arbitrary Lagrangians of twisted chiral superfields in 2D (2,2) supersymmetric theories [1]. The scalar and fermion kinetic terms and interactions are given explicitly. We define a set of twisted superspace coordinates, which allows to obtain Lagrangian terms for generic K\"ahler potential and generic twisted superpotential; this is done in analogy to the corresponding chiral superfields calculations [2]. As examples we obtain the Lagrangian of a single twisted superfield, i.e. the Abelian-dual of the gauged linear sigma model (GLSM) of a single chiral superfield, and the Lagrangian for the non-Abelian SU(2) dual of the $\mathbb{CP}^1$ GLSM model. Generic Lagrangians contain both twisted-chiral and chiral superfields, with distinct representations. We write down the kinetic terms for all bosons and fermions as well as their interactions for these generic cases. As twisted superfields play a central role for T-dualities and Mirror Symmetry in GLSMs, we expect the pedagogical exposition of this techniques to be useful in those studies. Comment: 24 pages, 2 appendices |
| Databáze: | OpenAIRE |
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