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
He Y
(2011)
Graph Zeta function and gauge theories
in Journal of High Energy Physics
Reid-Edwards R
(2011)
On Type IIA geometries dual to SCFTs
in Nuclear Physics B
Sax O
(2011)
Integrability, spin-chains and the AdS3/CFT2 correspondence
in Journal of High Energy Physics
Hanany A
(2011)
Chern-Simons: Fano and Calabi-Yau
in Advances in High Energy Physics
Hanany A
(2011)
The beta ansatz: a tale of two complex structures
in Journal of High Energy Physics
O Colgáin E
(2011)
A search for AdS 5 × S 2 IIB supergravity solutions dual to $ \mathcal{N} = 2 $ SCFTs
in Journal of High Energy Physics
He Y
(2011)
Polynomial Roots and Calabi-Yau Geometries
in Advances in High Energy Physics
He Y
(2011)
Heterotic bundles on Calabi-Yau manifolds with small Picard number
in Journal of High Energy Physics
Franco S
(2012)
Towards the continuous limit of cluster integrable systems
in Journal of High Energy Physics
He Y
(2012)
Brane geometry and dimer models
in Journal of High Energy Physics
Gray J
(2012)
Necessary conditions on Calabi-Yau manifolds for large volume vacua
in Physical Review D
Mehta D
(2012)
Numerical algebraic geometry: a new perspective on gauge and string theories
in Journal of High Energy Physics
He Y
(2012)
Quiver Structure of Heterotic Moduli
HANANY A
(2012)
INVARIANTS OF TORIC SEIBERG DUALITY
in International Journal of Modern Physics A
He Y
(2012)
Bipartita: Physics, Geometry & Number Theory
He Y
(2012)
Computational Algebraic Geometry in String and Gauge Theory
in Advances in High Energy Physics
He Y
(2012)
Quiver structure of heterotic moduli
in Journal of High Energy Physics
Hauenstein J
(2012)
Numerical Analyses on Moduli Space of Vacua
He Y
(2013)
${\cal N}=2$ N = 2 gauge theories: Congruence subgroups, coset graphs, and modular surfaces
in Journal of Mathematical Physics
Bai C
(2013)
Symmetries and Groups in Contemporary Physics
Braun V
(2013)
Supersymmetric hidden sectors for heterotic standard models
in Journal of High Energy Physics
He Y
(2013)
Modular subgroups, dessins d'enfants and elliptic K3 surfaces
in LMS Journal of Computation and Mathematics
He Y
(2013)
Exploring the potential energy landscape over a large parameter-space
in Journal of High Energy Physics
HE Y
(2013)
CALABI-YAU GEOMETRIES: ALGORITHMS, DATABASES AND PHYSICS
in International Journal of Modern Physics A
He Y
(2013)
Heterotic Model Building: 16 Special Manifolds
Hauenstein J
(2013)
Numerical elimination and moduli space of vacua
in Journal of High Energy Physics
He Y
(2013)
Eta Products, BPS States and K3 Surfaces
Sax O
(2013)
On the massless modes of the AdS3/CFT2 integrable systems
in Journal of High Energy Physics
HE Y
(2013)
Symmetries and Groups in Contemporary Physics
Stefanski B
(2013)
Supermembrane actions for Gaiotto-Maldacena backgrounds
Braun V
(2013)
Supersymmetric Hidden Sectors for Heterotic Standard Models
Hanany A
(2013)
Superconformal block quivers, duality trees and Diophantine equations
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
He Y
(2014)
The Scattering Variety
He Y
(2014)
The Geometry of Generations
He Y
(2014)
Heterotic model building: 16 special manifolds
in Journal of High Energy Physics
Duncan M
(2014)
The statistics of vacuum geometry
in Journal of High Energy Physics
Borsato R
(2014)
Towards the all-loop worldsheet S matrix for AdS3×S³×T4.
in Physical review letters
Bose S
(2014)
Gauge Theories and Dessins d'Enfants: Beyond the Torus
Lloyd T
(2014)
AdS 3/CFT 2, finite-gap equations and massless modes
in Journal of High Energy Physics
He Y
(2014)
Eta products, BPS states and K3 surfaces
in Journal of High Energy Physics
He Y
(2014)
The scattering variety
in Journal of High Energy Physics
He Y
(2014)
Gauge theories, tessellations & Riemann surfaces
in Journal of High Energy Physics
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 |