https://doi.org/10.1140/epjc/s10052-023-11373-6
Regular Article - Theoretical Physics
Weyl invariance, non-compact duality and conformal higher-derivative sigma models
Department of Physics M013, The University of Western Australia, 35 Stirling Highway, 6009, Crawley, WA, Australia
Received:
17
January
2023
Accepted:
28
February
2023
Published online:
9
March
2023
We study a system of n Abelian vector fields coupled to 
complex scalars parametrising the Hermitian symmetric space 
This model is Weyl invariant and possesses the maximal non-compact duality group 
Although both symmetries are anomalous in the quantum theory, they should be respected by the logarithmic divergent term (the “induced action”) of the effective action obtained by integrating out the vector fields. We compute this induced action and demonstrate its Weyl and 
invariance. The resulting conformal higher-derivative 
-model on 
is generalised to the cases where the fields take their values in (i) an arbitrary Kähler space; and (ii) an arbitrary Riemannian manifold. In both cases, the -model Lagrangian generates a Weyl anomaly satisfying the Wess–Zumino consistency condition.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
