Supersymmetric Field Theories and Their Mathematical Implications
Organized by Dan Freed, Constantin Teleman and Greg Moore
Over the past two decades, ideas and methods from supersymmetric quantum
field theory have spearheaded breathtaking advances in geometry and
topology. This one-week graduate workshop will offer a basic
introduction to the notions and language of the physics underlying those
advances, with some emphasis on gauge theory. Participants should
acquire an understanding of how physics ideas interact with the basic
mathematical objects. The participants will be giving most of the
lectures, but we will also have some expert lectures, giving guidance on
the deeper topics.
Here is a rough idea of topics to be covered during the workshop. We plan to
post a detailed outline of lectures and references in December.
As a prerequisite we request that all participants watch in advance a series
of lectures by Graeme Segal on quantum field theory:
http://www.mpim-bonn.mpg.de/node/3372/abstracts
This will provide common background and language for the program and for the
particular field theories to be discussed.
Detailed Schedule
(last update: 3/6/2012)
| Title | Presenters | ||
| 09:00-09:45 | Classical Field Theory, Part I | Pietro Longhi, Harold Williams, Pablo Solis | Video |
| 09:45-10:00 | Break | ||
| 10:00-10:45 | Classical Field Theory, Part II | Pietro Longhi, Harold Williams, Pablo Solis | Video |
| 10:45-11:00 | Break | ||
| 11:00-11:45 | Quantization of Free Fields, Part I | Alex Perry, Nasko Atanasov, Gijs Heuts | Video |
| 11:45-12:00 | Break | ||
| 12:00-12:45 | Quantization of Free Fields, Part II | Alex Perry, Nasko Atanasov, Gijs Heuts | Video |
| 12:45-02:00 | Lunch | ||
| 02:00-02:45 | Supermanifolds | Jesse Wolfson | Video |
| 02:45-03:00 | Break | ||
| 03:00-03:45 | Supersymmetric Quantum Mechanics | Joshua Batson | Video |
| 03:45-04:15 | Tea | ||
| 04:15-05:00 | Morse Theory via Supersymmetry | Anibal Medina | Video |
| 05:00-05:15 | Break | ||
| 05:15-06:00 | The Atiyah-Singer Index Theorem | Yi Xie | Video |
| Title | Presenters | ||
| 09:00-09:45 | Gauge Theory in 2d, Part I | Philsang Yoo, Aliakbar Daemi | Video |
| 09:45-10:00 | Break | ||
| 10:00-10:45 | Gauge Theory in 2d, Part II | Philsang Yoo, Aliakbar Daemi | Video |
| 10:45-11:00 | Break | ||
| 11:00-11:45 | The super-Poincaré Group and its Representations, Part I |
Rahul Shah, Ian Le | Video |
| 11:45-12:00 | Break | ||
| 12:00-12:45 | The Super-Poincaré Group and its Representations, Part II |
Rahul Shah, Ian Le | Video |
| 12:45-02:00 | Lunch | ||
| 02:00-02:45 | Supersymmetric Lagrangians and Classical Field Theories, Part I |
Chris Elliot, Michael Couch | Video Notes |
| 02:45-03:00 | Break | ||
| 03:00-03:45 | Supersymmetric Lagrangians and Classical Field Theories, Part II |
Chris Elliot, Michael Couch | Video |
| 03:45-04:15 | Tea | ||
| 04:15-05:00 | Topological Twisting and Sigma-models, Part I | Sam Gunningham, Yuan Shen | Video |
| 05:00-05:15 | Break | ||
| 05:15-06:00 | Topological Twisting and Sigma-models, Part II | Sam Gunningham, Yuan Shen | Video |
| Title | Presenters | ||
| 09:00-09:45 | N=2 Supersymmetric Yang-Mills Theory | Hiro Tanaka, Si Li | Video |
| 09:45-10:00 | Break | ||
| 10:00-10:45 | Abelian Duality | Mio Alter | Video |
| 10:45-11:00 | Break | ||
| 11:00-12:30 | Dynamics of Quantum Field Theory | Nikita Nekrasov | Video |
| Title | Presenters | ||
| 09:00-09:45 | Topological and Smooth Manifolds, Part I | Ryan Grady, Peter Smillie, Chris Scaduto | Video |
| 09:45-10:00 | Break | ||
| 10:00-10:45 | Topological and Smooth Manifolds, Part II | Ryan Grady, Peter Smillie, Chris Scaduto | Video |
| 10:45-11:00 | Break | ||
| 11:00-12:30 | Seiberg-Witten Theory | Claude LeBrun | Video |
| 12:30-02:00 | Lunch | ||
| 02:00-03:00 | “Donaldson Polynomials and Seiberg-Witten Invariants from a Physical Perspective, Part I” | Greg Moore | Video |
| 03:00-04:00 | “Donaldson Polynomials and Seiberg-Witten Invariants from a Physical Perspective, Part II” | Greg Moore | Video |
| 04:00-05:00 | “Donaldson Polynomials and Seiberg-Witten Invariants from a Physical Perspective, Part III” | Greg Moore | Video |
| 05:00-06:00 | “Donaldson Polynomials and Seiberg-Witten Invariants from a Physical Perspective, Part IV” | Greg Moore | Video |
| Title | Presenters | ||
| 09:00-10:25 | N=4 Gauge Theory in 4 Dimensions, Hitchen Spaces, S-duality | Pavel Safronov | Video |
| 10:25-10:30 | Break | ||
| 10:30-12:00 | A- and B-model Branes and D-modules | Dario Beraldo | Video |
| 12:00-01:00 | Lunch | ||
| 01:00-02:25 | Geometric Langlands Correspondence and 4D Gauge Theory | Edward Frenkel | Video |
| 02:25-02:30 | Break | ||
| 02:30-04:00 | Branes and Representations | Sergei Gukov | Video |
Participants:
- Mio Alter
- Joshua Batson
- Dario Beraldo
- Daniel Berwick-Evans
- Braxton Collier
- Michael Couch
- Aliakbar Daemi
- Chris Elliot
- Ryan Grady
- Sam Gunningham
- Daniel Halpern-Leistner
- Gijsbert Heuts
- Theo Johnson-Freyd
- Ian Le
- Si Li
- Kevin Lin
- Pietro Longhi
- John Mangual
- Tom Maniero
- Dmitri Pavlov
- Alex Perry
- Daniel Pomerleano
- Mohammad Ramezanali
- Pavel Safronov
- Chris Scaduto
- Rahul Shah
- Yuan Shen
- Linhui Shen
- Peter Smillie
- Pablo Solis
- Hiro Lee Tanaka
- Renato Vianna
- Harold Williams
- Jesse Wolfson
- Yi Xie
- Philsang Yoo