Harvard University
Center of Mathematical Sciences and Applications (CMSA)
20 Garden Street
Cambridge, MA 02138
jw(at)cmsa.fas.harvard.edu
Most of my research articles can be found on the
arXiv.org through this link
or
this link. My other publications can be found here
on Google or
on Inspire
. Some of my academic talk videos can be found here:
Perimeter Institute PIRSA.
Simons Center for Geometry and Physics Video Portal.
Video available on YouTube.
Video available on YouTube.
Video available on YouTube. Video available on SCGP. Video available on Youtube. Video available on Youtube. Video available on Youtube. Video available on Youtube. Video available on Youtube. Video available on Youtube.
Based on
PhysRevD.103.105024,
arXiv:2012.15860,
arXiv:2008.06499,
arXiv:2006.16996,
arXiv:1910.14668.
.
Live-stream Videos available on Youtube.
Video available on Youtube.
Video available on Youtube.
Video available on Youtube. Physics-Math Tree.
Mathematics Genealogy.
The Way that can be told of is not an eternal way;
Hence always rid yourself of desires in order to observe its secrets;
The Valley Spirit never dies
Laozi (B.C. 600) - Dao De Jing - an excerpt
In our acquisition of knowledge of the Universe (whether mathematical or otherwise) that which renovates the quest is nothing more nor less than complete innocence. It is in this state of complete innocence that we receive everything from the moment of our birth. Although so often the object of our contempt and of our private fears, it is always in us. It alone can unite humility with boldness so as to allow us to penetrate to the heart of things, or allow things to enter us and taken possession of us.
This unique power is in no way a privilege given to "exceptional talents" --- persons of incredible brain power (for example), who are better able to manipulate, with dexterity and ease, an enormous mass of data, ideas and specialized skills. Such gifts are undeniably valuable, and certainly worthy of envy from those who (like myself) were not so "endowed at birth, far beyond the ordinary."
Yet it is not these gifts, nor the most determined ambition combined with irresistible will-power, that enables one to surmount the "invisible yet formidable boundaries" that encircle our universe. Only innocence can surmount them, which mere knowledge doesn't even take into account, in those moments when we find ourselves able to listen to things, totally and intensely absorbed in child's play.
Alexander Grothendieck (A.D. 1928)
The true value of a human being can be found in the degree to which one has attained liberation from the self.
Albert Einstein (A.D. 1879)
2004 Piano motif melody (PDF sheet music) .
2004 Baroque Violins Duet (PDF sheet music) .
2005 Music arrangement of Chinese ``Song dynasty'' poet Su Shi's work Shuidiao Getou (PDF sheet music) .
and Harvard CMSA Youtube Playlist
.
Subscribe to Harvard CMSA seminar mailing list here
Research Interests
arXiv.org link
or
this link.
Theoretical physics.
Fundamental physics.
Condensed matter physics.
High energy physics: particle physics and beyond particle physics.
Mathematical physics.
Quantum field theory.
Gauge theory.
Many-body quantum systems.
Exotic quantum phenomena.
Entanglement and Emergence phenomena.
Reductionism v.s. Emergence principles.
Topological phases of quantum matter.
Quantum Hall/Fractional Quantum Hall states.
Non-abelian fractional Quantum Hall states (e.g., nu=5/2)
Exotic superconductivity.
Strongly Correlated Electrons.
Non-perturbative strong coupled systems.
QCD phases. QCD matter.
Strong CP problem
Mass Generating Mechanism
Lattice regularizations
Lattice chiral fermion nonperturbative regularization
Beyond the Standard Model physics.
Ultra Unification
Topology. e.g. Algebraic Topology/Geometric Topology.
Geometry. e.g. Differential/Algebraic Geometry.
Category theory.
See also
Google Scholar and
the IAS page.
More research interests of mine are partially summarized by the topics in my arXiv qualification endorsement:
Publications
Some Academic Talk slides
3/05/2024 PDF Slides
@ MIT CTP, March 1, 2024.
Problems in Particle Physics and Novel Solutions from Ultra Quantum Matter.
(Novel Solutions outside Particle Paradigm.)
3/01/2024 PDF Slides
@ Quantum-field Measurement Systems for Studies of the Universe and Particles (QUP), KEK, March 1, 2024.
Ultra Unification and Ultra Quantum Matter:
Physics Beyond the Standard Model
2/09/2024 PDF Slides
@ London Institute for Mathematical Sciences (LIMS) Feb 9, 2024.
Ultra Unification and Ultra Quantum Matter:
Physics Beyond the Standard Model
1/16/2024 PDF Slides
@ Shanghai Jiao Tong University T.D.Lee Institute, Jan 16, 2024.
Ultra Unification and Ultra Quantum Matter:
Physics Beyond the Standard Model
12/08/2023 PDF Slides
Member seminar @ HU CMSA.
Open Problems in Physics and Novel Solutions from Math
11/01/2023 PDF Slides
NYUAD Geometry-Topology-Physics (GTP) Seminar
@ New York University - Center for Quantum and Topological Systems
Ultra Unification, and Noninvertible Symmetry of the Standard Model from Gravitational Anomaly
(arXiv:2302.14862, arXiv:2012.15860)
8/11/2023
"Symmetry"-Extension Quantum Circuit
(Homomorphism Holographic Quantum Circuit) @ IBM Thomas J. Watson Research Center
7/21/2023 PDF Slides
(p.s."Symmetry" here may be global symmetry or dynamically gauged.)
"Symmetry"-Extension (vs "Symmetry"-Breaking) Topological Interfaces @ IBM Thomas J. Watson Research Center
(arXiv:1705.06728, arXiv:1804.11236, arXiv:2011.13921, arXiv:1812.11955, arXiv:2002.12932, etc.)
5/26/2023 PDF Slides
(Quantum Information and Quantum Matter
Conference 5/22-5/26 @ New York University Abu Dhabi NYUAD - Center for Quantum and Topological Systems)
Ultra Unification, and Categorical Symmetry of the Standard Model from Gravitational Anomaly
(arXiv:2302.14862, arXiv:2012.15860)
4/03/2023 PDF Slides
(@ Harvard University Particle Family Seminar)
Noninvertible Categorical Symmetry of the Standard Model
from Gravitational Anomaly and Ultra Unification (arXiv:2302.14862)
3/07/2023 PDF Slides
(@ Harvard University CMSA Member Seminar)
Categorical Symmetry of the Standard Model from Gravitational Anomaly (arXiv:2302.14862)
2/17/2023 PDF Slides
(@ Natl Central University seminar)
(Part 1: Z16 nonperturbative global anomaly application - Beyond SM and GUT + TQFT/CFT sector - Ultra Unification)
Ultra Quantum Matter and Beyond the Standard Model Forecast
(Part 2: Z2 nonperturbative global anomaly application Deconfined Quantum Criticality Beyond the SM Synthesis: Deformation Class of Standard Model
Between Georgi-Glashow SU(5) and Pati-Salam Spin(6)xSpin(4))
(Part 3: Strong CP problem and Symmetric Mass Generation
- Massless quark solution - SMG modified.
- Parity solution - SMG modified.
- Ordered Mass vs Disorder SMG Mass.)
11/08/2022 PDF Slides
(@ U Tokyo IPMU MS seminar)
(Part 1: Symmetric Mass Generation (SMG) vs Conventional Mass)
Symmetric Mass Generation
(Part 2: 1+1d anomaly-free chiral fermion model and SMG)
(Part 3: Symmetric Mass Solution to CT or P problem)
.
9/19-9/23/2022 PDF Slides
(@ Simons Center SCGP, Generalized Global Symmetries, Quantum Field Theory, and Geometry)
Ultra Quantum Matter to Beyond the Standard Model Forecast
(Part 1: Strong CP problem and Symmetric Mass Generation)
(Part 2: Neutrino and Z16 global anomaly)
(Part 3: Deconfined quantum criticality between Georgi-Glashow and Pati-Salam and Z2 global anomaly)
https://scgp.stonybrook.edu/video/video.php?id=5462
.
8/02-8/05/2022 PDF Slides
(@ Phase Transitions and Topological Defects in the Early Universe, Cambridge High Energy Workshop 2022 -)
Quantum Matter Adventure to Beyond the Standard Model Prediction
(Part 1: Neutrino and Z16 global anomaly)
(Part 2: Deconfined quantum criticality between Georgi-Glashow and Pati-Salam and Z2 global anomaly)
(Part 3: Strong CP problem and Symmetric Mass Generation)
https://indico.mit.edu/event/351/contributions/1057/
.
6/21/2022 PDF Slides
(@ String Pheno seminar)
Cobordism and Deformation Class of the Standard Model and Beyond
.
5/03/2022 PDF Slides
(@ Harvard CMT Kids seminar)
Ultra Quantum Matter and Beyond the Standard Model Physics
.
4/19/2022 PDF Slides
(@ UCLA TEP seminar)
Quantum Matter Frontier and Beyond the Standard Model Physics
C-P-T fractionalization
.
2/08/2022 PDF Slides
(@ Perimeter Institute)
Ultra Unification: Quantum Criticality and Deformation beyond the Standard Model
.
2/02/2022 PDF Slides (@ U Chicago and Kadanoff center seminar)
Ultra Unification and Deformation of the Standard Model
.
11/23/2021 PDF Slides (@ Rutgers NHETC)
Quantum Criticality Beyond the Standard Model and Ultra Unification .
6/02/2021 PDF Slides (@ Harvard CMSA)
Ultra Unification: Quantum Fields Beyond the Standard Model.
6/09/2021 PDF Slides (@ Canadian Mathematical Society)
Ultra Unification: Quantum Fields Beyond the Standard Model.
Previous research seminars on Ultra Unification:
7/08/2020 PDF Slides
(@ Harvard University and Weizmann Institute of Science Joint seminar July 8th 2020)
Effective Field Theory of Fractional Quantum Hall near nu= 5/2
.
5/26/2020 PDF Slides
(@ Ultra Quantum Matter Virtual Zoom May 2020)
"Mother" Effective Field Theory for Fractional Quantum Hall Systems near nu= 5/2
.
12/03/2019 PDF Slides
(@ Harvard CMSA quantum matter workshop)
Higher-Rank Tensor Non-Abelian Gauge Field Theory
of Fracton and Embeddon
.
10/22/2019 PDF Slides
(@ Harvard Mathematical Picture Language Math Physics seminar)
Quantum 4d Yang-Mills theory and 5d higher-gauge TQFT:
Higher Anomalies, Symmetries, and Cobordisms
.
9/10/2019 PDF Slides
(@ Harvard CMSA - Topology and Dynamics in Quantum Matter Workshop)
4d Yang-Mills theory and 5d higher-gauge TQFT: Higher Anomalies, Symmetries, and Cobordisms
.
6/07/2019 PDF Slides
(@ Caltech)
4d Yang-Mills Gauge Theories and Time-Reversal Symmetric 5d TQFT
.
5/03/2019 PDF Slides
(@ Syracuse Univerrsity)
New Anomalies, Topological Boundary Conditions,
and Non-Perturbative Beyond-Standard Models
.
4/19/2019 PDF Slides
(@ IAS Princeton)
Quantum 4d Yang-Mills Gauge Theories and Time-Reversal Symmetric 5d TQFT
.
11/07/2018 PDF Slides
(@ SCGP SUNY Stony Brook - Workshop: Developments in Quantum Field Theory and Condensed Matter Physics)
New Anomalies, 3+1D Quantum Matter, and 4d Gauge Theories
.
7/19/2017 PDF Slides
(@ Kavli IPMU Kashiwa and U Tokyo)
Part II: Old/New Topological Boundary Conditions for Topological Matter
.
7/12/2017 PDF Slides
(@ Kavli IPMU Kashiwa and U Tokyo)
Part I: Braiding Statistics/Link Invariants of Quantum Matter in 2+1 and 3+1D
.
July/2017 PDF Slides
(@ Natl Taiwan University)
Statistics/Link Invariants of Quantum Matter &
Old/New Topological Boundary Conditions
.
June/2017 PDF Slides
(@ CUHK Hong-Kong)
Link Invariants of Quantum Matter & New Topological boundary conditions
.
2/14/2017 PDF Slides
(@ Rutgers University)
Quantum Statistics & Link Invariants of Topological Matter, and a Z8 classification of Fermionic Topological Superconductors
.
4/06/2016 PDF Slides
(@ IAS Princeton)
Quantum Statistics and Spacetime Topology
.
3/19/2016 PDF Slides
(@ U Michigan)
Quantum (String) Statistics and Spacetime Topology
.
12/19/2015 PDF Slides
(@ Fudan University)
Quantum (String) Statistics and Spacetime Topology
.
10/22/2015 PDF Slides
(@ SUNY Stony Brook)
Geometric phase, string braiding statistics and spacetime surgery
.
Journal Review/Referee Service Experience
Physical Review Letter,
Physical Review X, Physical Review Research,
Physical Review Applied,
Physical Review A,
Physical Review B,
Physical Review D,
Journal of High Energy Physics (JHEP), SciPost,
Communications in Mathematical Physics (CIMP), Journal of Mathematical Physics (JMP),
New Journal of Physics, European Physics Letter,
Proceedings of the Royal Society of Edinburgh Section A: Mathematics,
Advances in Theoretical and Mathematical Physics, International Journal of Modern Physics A.
Other Info
The names that can be named are not eternal names.
It was from the Nameless that Heaven and Earth sprang;
The named is but the mother that rears the ten thousand creatures, each after its kind.
But allow yourself to have desires in order to observe its manifestations.
These two are the same
But diverge in name as they issue forth.
Being the same they are called mysteries,
Mystery upon mystery -
The gateway of the manifold Secretes Essence.
It is named the Mysterious Female.
And the gateway of the Mysterious Female
It is called the root of Heaven and Earth.
Dimly visible, it is there within us all the while;
Draw upon it as you will, yet use will never drain it.
From some of my designs for
QUANTUM MATTER IN MATHEMATICS AND PHYSICS program at Harvard CMSA:
Some (Very Old and Early Stage) of My Music Motif/Compositions