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In an integrable string theory, the scattering on the two-dimensional worldsheet of the string is constrained and obeys the Yang-Baxter equation.
The holographic principle postulates that a quantum theory of gravity can equivalently be described by a quantum theory without gravity in one dimension less - similarly to an optical hologram. This duality often maps a weakly coupled problem in classical gravity to a strongly coupled problem in quantum field theory, leading to interesting new results for strongly coupled systems. Moreover, there exists a limit in which the theories on both sides of the duality become "integrable" and can be solved exactly. This then produces exact results all the way from weak to strong coupling.
With the support of the Marie Skłodowska-Curie Actions programme, the DEFORMED-HOLOGRAPHY project is developing extended versions of AdS/CFT holography through the study of integrable quantum deformations.
Motivation and Objectives
Motivation and Objectives
Integrable models --- of which the Kepler problem or the Heisenberg spin-chain are celebrated examples --- are the exactly solvable building blocks upon which the whole theoretical physics monument stands. While they describe a simplified version of nature, their tractable structure gives invaluable insight into complicated systems closer to the real world. Remarkably, they also lead to major advances in our understanding of quantum gravity and holography, an area in which the need for analytical tools is critical due to the lack of experiments. Integrable theories appear in instances of the AdS/CFT correspondence, a duality relating string theories on Anti-de-Sitter space-times to Conformal Field Theories living on the boundary of these space-times. The aim of this project is to explore extended versions of AdS/CFT holography through the study of integrable quantum deformations.
The specific objectives are
(O.1) to establish new connections between quantum deformations of superstrings
(O.2) to compute physical observables in these theories via adapted integrability techniques
(O.3) to explore the quantum properties of these deformations
(O.4) to constrain their dual theories
Constructing and studying new deformations of AdS/CFT has the potential to dramatically expand the scope of our understanding of string theory, quantum field theories at finite coupling and holography. Integrability is expected to provide a crucial guiding principle and invaluable tool in harnessing such a potential. Moreover, this project will connect mathematical and physical aspects of quantum groups.
Project Information
Project Information
Start date: 01 September 2022
End date: 31 August 2024
MSCA researcher: Dr. Fiona Seibold
Host professor: Prof. Arkady Tseytlin
Host institute: Imperial College London, UK
More information: https://cordis.europa.eu/project/id/101027251
Results
Results
PUBLICATIONS
AdS3 Integrability, Tensionless Limits, and Deformations: A Review, F. K. Seibold, A. Sfondrini, arXiv:2408.08414
Scattering on the supermembrane, F. K. Seibold, A. A. Tseytlin, JHEP 08 (2024) 102, arXiv:2404.09658
Inequivalent light-cone gauge-fixings of strings on AdSn × Sn backgrounds, R. Borsato, S. Driezen, B. Hoare, A. L. Retore, F. K. Seibold, Phys.Rev.D 109 (2024) 10, 106023, arXiv:2312.17056
Elliptic deformations of the AdS3 × S3 × T4 string, B. Hoare, A. L. Retore, F. K. Seibold, JHEP 04 (2024) 042, arXiv:2312.14031
Exact approaches on the string worldsheet, S. Demulder, S. Driezen, B. Knighton, G. Oling, A. L. Retore, F. K. Seibold, A. Sfondrini, Z. Yan, J.Phys.A 57 (2024) 42, arXiv:2312.12930
S-matrix on effective string and compactified membrane, F. K. Seibold and A. A. Tseytlin, J.Phys.A 56 (2023) 48, arXiv:2308.12189
Bi-η and bi-λ deformations of Z4 permutation supercosets, B. Hoare, N. Levine and F. K. Seibold, JHEP 04 (2023) 024, arXiv:2212.08625
Integrable supersymmetric deformations of AdS3 × S3 × T4, B. Hoare, F. K. Seibold and A. A. Tseytlin, JHEP 09 (2022) 018, arXiv:2206.12347
SLIDES OF PRESENTATIONS
Integrable deformations of AdS3 superstrings (presented at the Eurostrings 2023 conference)
Integrable Deformations of AdS3 × S3 × T4 (presented at the University of Durham, United Kingdom)
Understanding AdS/CFT through its integrable deformations (presented at the University of Bern, Switzerland)
Integrable Deformations of Sigma Models, (presented at the SEMPS meeting, University of Essex, United Kingdom)
Scattering on effective strings and membranes (presented at the Integrability, Dualities and Deformations 2024 conference; related work presented at InTropea 2023 conference, NBMPS meeting, New York University US, Princeton University US)
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