Theoretical Particle Physics at City University
Lead Research Organisation:
City, University of London
Department Name: Sch of Engineering and Mathematical Sci
Abstract
With the arrival of the LHC on the Particle Physics arena, theoretical particle physics finds itself at a critical juncture. On the one hand, the last missing element of the Standard Model, the Higgs boson, needs to be found, and on the other, the LHC experiments may find new particles and processes that go beyond the standard model. At the same time, in the theoretical physics community there are a number of outstanding problems that will benefit from the information that we expect to arrive from the LHC. This project will investigate two key problems in modern theoretical physics. Firstly, we will investigate strongly coupled gauge theories using the so-called gauge/string correspondence. Four dimensional gauge theories are a central building block of modern particle physics. Yet relatively little is known analytically about their behaviour because they are not ameanable to perturbative methods - they are strongy interacting. In recent years, there have been significant breakthroughs in understanding certain gauge theories using the gauge/string correspondence. In particular, the mathematical tools known as integrability have provided an incredibly precise analytic handle on certain supersymmetric strongly interacting gauge theories. For the first time, we are able to make exact analytic statements about generic, quantum-corrected, quantities in these highly symmetric gauge theories. In this project we will develop new tools and methods to understand the strong-coupling dynamics of more realistic, less supersymmetric, gauge theories. Secondly, we will explore beyond-the-Standard-Model physics that can be obtained as a consistent low-energy theory from string theory. String theory has provided a framework for unifying gauge and gravity interactions into a single consistent quantum theory. One of the key challenges has been to identify particular examples of string theory compactifications which will lead to realistic low-energy physics. Our group will systematically search through the very large number of consistent string vacua, for those models which are consistent with the Standard Model and any new physics found by the LHC. Our past experience suggests that stringy geometries which could give the Standard Model are very rare. This in turn hints at the uniqueness, rather than the huge degeneracy, of string vacua, and we aim to extensively test this hypothesis.
Publications
Alessandretti L
(2019)
Machine Learning meets Number Theory: The Data Science of Birch-Swinnerton-Dyer
Altman R
(2015)
A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list
in Journal of High Energy Physics
Altman R
(2018)
New large volume Calabi-Yau threefolds
in Physical Review D
Altman R
(2017)
New Large Volume Solutions
Argyriadis J
(2019)
Dynamics of genetic code evolution: The emergence of universality
Argyriadis J
(2019)
Dynamics of genetic code evolution: The emergence of universality
Argyriadis JA
(2021)
Dynamics of genetic code evolution: The emergence of universality.
in Physical review. E
Ashmore A
(2019)
Machine learning Calabi-Yau metrics
Ashmore A
(2020)
Machine Learning Calabi-Yau Metrics
in Fortschritte der Physik
Ashmore A
(2022)
Machine learning line bundle connections
in Physics Letters B
Ashmore A
(2022)
Calabi-Yau metrics, energy functionals and machine learning
in International Journal of Data Science in the Mathematical Sciences
Baggio M
(2017)
Protected string spectrum in AdS3/CFT2 from worldsheet integrability
in Journal of High Energy Physics
Bai C
(2013)
Symmetries and Groups in Contemporary Physics
Bao J
(2020)
Quiver mutations, Seiberg duality, and machine learning
in Physical Review D
Bao J
(2022)
Some open questions in quiver gauge theory
in Proyecciones (Antofagasta)
Bao J
(2022)
Crystal melting, BPS quivers and plethystics
in Journal of High Energy Physics
Bao J
(2024)
Polytopes and machine learning
in International Journal of Data Science in the Mathematical Sciences
Bao J
(2020)
Quiver gauge theories: beyond reflexivity
in Journal of High Energy Physics
Bao J
(2021)
Mahler Measure for a Quiver Symphony
Bao J
(2021)
Neurons on Amoebae
Bao J
(2022)
Mahler Measure for a Quiver Symphony
in Communications in Mathematical Physics
Bao J
(2021)
Some Open Questions in Quiver Gauge Theory
Bao J
(2021)
Chiral rings, Futaki invariants, plethystics, and Gröbner bases
in Journal of High Energy Physics
Bao J
(2020)
Lectures on the Calabi-Yau Landscape
Bao J
(2022)
Hilbert series, machine learning, and applications to physics
in Physics Letters B
Bao J
(2023)
Neurons on amoebae
in Journal of Symbolic Computation
Bao J
(2021)
Dessins d'enfants, Seiberg-Witten curves and conformal blocks
in Journal of High Energy Physics
Berman D
(2021)
Machine Learning Calabi-Yau Hypersurfaces
Berman D
(2022)
Machine learning Calabi-Yau hypersurfaces
in Physical Review D
Bombardelli D
(2018)
The low-energy limit of AdS3/CFT2 and its TBA
in Journal of High Energy Physics
Bond R
(2015)
A quantum framework for likelihood ratios
Bond R
(2018)
A quantum framework for likelihood ratios
in International Journal of Quantum Information
Borsato R
(2016)
On the spectrum of AdS 3 × S 3 × T 4 strings with Ramond-Ramond flux
in Journal of Physics A: Mathematical and Theoretical
Borsato R
(2014)
Towards the all-loop worldsheet S matrix for AdS3×S³×T4.
in Physical review letters
Borsato R
(2017)
On the dressing factors, Bethe equations and Yangian symmetry of strings on AdS 3 × S 3 × T 4
in Journal of Physics A: Mathematical and Theoretical
Borsato R
(2015)
The AdS 3 × S 3 × S 3 × S 1 worldsheet S matrix
in Journal of Physics A: Mathematical and Theoretical
Borsato R
(2014)
The complete AdS3 ×S3 × T4 worldsheet S matrix
in Journal of High Energy Physics
Borsato R
(2013)
The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: the massive sector
in Journal of High Energy Physics
Borsato R
(2013)
Dressing phases of AdS 3 / CFT 2
in Physical Review D
Bose S
(2014)
Gauge Theories and Dessins d'Enfants: Beyond the Torus
Bose S
(2015)
Gauge theories and dessins d'enfants: beyond the torus
in Journal of High Energy Physics
Bourjaily J
(2018)
Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms
Bourjaily JL
(2018)
Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms.
in Physical review letters
Braun V
(2013)
Supersymmetric hidden sectors for heterotic standard models
in Journal of High Energy Physics
Braun V
(2013)
Supersymmetric Hidden Sectors for Heterotic Standard Models
Description | Our work is in the area of Mathematical and Theoretical Physics. As part of this project we have, for the first time, developed a quantitative description (using mathematical methods known collectively as integrability) of holographic dualities between 3-dimensional theories of quantum gravity and two-dimensional gauge theories. We have also explored low-supersymmetry gauge/string dual pairs in 4/5 dimensions |
Exploitation Route | the research community has been very interested in these results which have led to much followup work and tests of our results |
Sectors | Other |
Description | Harvard University: Prof Yau |
Organisation | Harvard University |
Country | United States |
Sector | Academic/University |
PI Contribution | I have started a collaboration with Professor S-T Yau, Fields Medalist and the founder the subject of Calabi-Yau manifolds since 2013. We have 2 papers since then, both published in the prestigious journal Communicationss in Mathematical Physics |
Collaborator Contribution | Prof Yau is a world-renowned figure in geometry and mathematical physics. |
Impact | 1) Calabi-Yau Volumes and Reflexive Polytopes. By Yang-Hui He, Rak-Kyeong Seong, Shing-Tung Yau. [arXiv:1704.03462 [hep-th]]. 10.1007/s00220-018-3128-6. Commun. Math. Phys. (2018). 2) Extremal Bundles on Calabi-Yau Threefolds. By Peng Gao, Yang-Hui He, Shing-Tung Yau. [arXiv:1403.1268 [hep-th]]. 10.1007/s00220-014-2271-y. Commun.Math.Phys. 336 (2015) no.3, 1167-1200. |
Start Year | 2013 |