Relaxed highest-weight modules play a central role in the study of many important vertex operator (super)algebras and their associated

(logarithmic) conformal field theories, including the admissible-level affine models. Indeed, their structure and their (super)characters together form the crucial input data for the standard module formalism that describes the modular transformations and Grothendieck fusion rules of such theories.

In this talk, I shall review relaxed modules and describe how one can rigorously compute their (quite interesting) characters, illustrating this for affine sl(2) and, if time permits, osp(1|2). This proves several conjectural statements in the literature for sl(2), at arbitrary admissible levels, and for osp(1|2) at level −5/4. For other admissible levels, the

osp(1|2) results are believed to be new.

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Travis Scrimshaw.


Priestley Building (#67)