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Holographic vacuum misalignment
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ALI FATEMIABHARI,
Maurizio Piai
Physical Review D, Volume: 111, Issue: 1, Start page: 015040
Swansea University Authors:
ALI FATEMIABHARI, Maurizio Piai
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DOI (Published version): 10.1103/physrevd.111.015040
Abstract
We develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular an...
| Published in: | Physical Review D |
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| ISSN: | 2470-0010 2470-0029 |
| Published: |
American Physical Society (APS)
2025
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa68337 |
| Abstract: |
We develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular and smooth, and has an end of space that mimics confinement on the field theory side. We add to the gravity description a set of localised boundary terms, that introduce additional symmetry-breaking effects, capturing those that would result from coupling the dual strongly coupled field theory to an external, weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the global SO(5) symmetry of the dual field theory, as well as additional explicit symmetry-breaking effects. We show how to combine spurions and gauge fixing and how to take the appropriate limits, so as to respect gauge principles and avoid violations of unitarity.The interplay of bulk and boundary-localised couplings leads to the breaking of the SO(5) sym- metry to either its SO(4) or SO(3) subgroup, via vacuum misalignment. In field theory terms, the model describes the spontaneous breaking of a SO(4) gauge symmetry to its SO(3) subgroup. We expose the implications of the higgsing phenomenon by computing the spectrum of fluctuations of the model, which we interpret in four-dimensional field-theory terms, for a few interesting choices of parameters. We conclude by commenting on the additional steps needed to build a realistic composite Higgs model. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
The work of A. F. has been supported by the STFC Consolidated Grant No. ST/V507143/1 and by the EPSRC Standard Research Studentship (DTP) EP/T517987/1. The work of M. P. has been supported in part by the STFC Consolidated Grants No. ST/T000813/1 and No. ST/X000648/1. M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. Funded by SCOAP3. |
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1 |
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015040 |