## Infinite Analysis Seminar Tokyo

Seminar information archive ～04/12｜Next seminar｜Future seminars 04/13～

Date, time & place | Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
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### 2013/03/30

13:30-15:30 Room #002 (Graduate School of Math. Sci. Bldg.)

On the extended algebra of type sl_2 at positive rational level (ENGLISH)

**Simon Wood**(Kavli IPMU)On the extended algebra of type sl_2 at positive rational level (ENGLISH)

[ Abstract ]

I will be presenting my recent work with Akihiro Tsuchiya

(arXiv:1302.6435).

I will explain how to construct a certain VOA called the "extended

algebra of type sl_2 at positive rational level"

as a subVOA of a lattice VOA, by means of screening operators. I will

then show that this VOA carries a kind of exterior sl_2 action and then

show how one can compute the structure Zhu's algebra and the Poisson

algebra as well as classify all simple modules by using the screening

operators and the sl_2 action. Important concepts such as screening

operators or Zhu's algebra and the Poisson algebra of a VOA will be

reviewed in the talk.

I will be presenting my recent work with Akihiro Tsuchiya

(arXiv:1302.6435).

I will explain how to construct a certain VOA called the "extended

algebra of type sl_2 at positive rational level"

as a subVOA of a lattice VOA, by means of screening operators. I will

then show that this VOA carries a kind of exterior sl_2 action and then

show how one can compute the structure Zhu's algebra and the Poisson

algebra as well as classify all simple modules by using the screening

operators and the sl_2 action. Important concepts such as screening

operators or Zhu's algebra and the Poisson algebra of a VOA will be

reviewed in the talk.