• Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.


New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback


(propose a free ad)

Site Statistics

174 submissions , 137 unreviewed
4,308 questions , 1,640 unanswered
5,089 answers , 21,602 comments
1,470 users with positive rep
635 active unimported users
More ...

  1/m Laughlin state and $U(1)_M$ chiral CFT

+ 2 like - 0 dislike

I am a little confused that people claim that the edge theory of a 1/m Laughlin state corresponds to a $U(1)_m$ chiral CFT. This indicates there should be $m$ primary field operators in $U(1)_m$ chiral CFT. However, there are actually $2m$ primary field operators in $U(1)_m$ chiral CFT.

What is wrong here? Or did I make some naive mistakes above? Thanks!

This post imported from StackExchange Physics at 2015-11-21 21:50 (UTC), posted by SE-user IsingX
asked Nov 21, 2015 in Theoretical Physics by IsingX (10 points) [ no revision ]
It is probably just an issue of terminology. There are $m$ primaries in the edge CFT of $1/m$ Laughlin, that's for sure, and the Lagrangian for the edge theory is simply $\mathcal{L}=\frac{m}{4\pi}\partial_t\phi\partial_x\phi - \dots$ with $\phi$ a compactified boson. And this is usually called $U(1)_m$. Maybe you can give a reference where "$U(1)_m$" CFT has $2m$ primaries?

This post imported from StackExchange Physics at 2015-11-21 21:50 (UTC), posted by SE-user Meng Cheng

Please log in or register to answer this question.

user contributions licensed under cc by-sa 3.0 with attribution required

Your rights