Register

Adv. Query

Q&A (4870)

Reviews (203)

Open problems (47)
Meta (439)

Site Statistics

205 submissions , 163 unreviewed
5,082 questions , 2,232 unanswered
5,353 answers , 22,789 comments
1,470 users with positive rep
820 active unimported users
More ...

Are there exactly solvable CFTs?

1959 views

I am wondering if there are CFTs such that n-point correlation functions in them of the fields (may be the primaries or of some notion of twist fields) is exactly known.

Are there such?
Aren't minimal models supposed to have this property?
Even if not exactly known, can the n-point functions (may be when written as a conformal block expansion) be written order-by-order as a power series in the central charge? (..I guess there is some theorem about the asymptotic exponential dependence of the conformal blocks on the central charge (reference help? ) and I want to know if 1/c corrections to that are known..)

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user user6818

asked Oct 13, 2013 in Theoretical Physics by user6818 (960 points) [ no revision ]
retagged Nov 21, 2014 by dimension10

Are your $n$-point correlation functions in genus zero?

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user S. Carnahan

commented Oct 13, 2013 by S. Carnahan (190 points) [ no revision ]

@S.Carnahan That would be the simplest scenario I would like to know of. (..if you can say something about higher genus then that is more exciting ;P..)

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user user6818

commented Oct 13, 2013 by user6818 (960 points) [ no revision ]

Did you look at the work of Dotsenko and Fateev from mid 1980s. They computed correlation functions of a number of 2d conformal field theories.

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user José Figueroa-O'Farrill

commented Oct 14, 2013 by José Figueroa-O'Farrill (2,315 points) [ no revision ]

@JoséFigueroa-O'Farrill Can you kindly refer to any paper that you have in mind? Is it known by some name that I can may be trace in the Francesco et. al's book?

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user user6818

commented Oct 15, 2013 by user6818 (960 points) [ no revision ]

@user6818, I have lent my copy of the book by di Francesco et al., I'm afraid, but the papers I have in mind are the following: dx.doi.org/10.1016%2F0550-3213%2884%2990269-4 and dx.doi.org/10.1016%2FS0550-3213%2885%2980004-3 .

This post imported from StackExchange MathOverflow at 2014-08-25 11:40 (UCT), posted by SE-user José Figueroa-O'Farrill

commented Oct 15, 2013 by José Figueroa-O'Farrill (2,315 points) [ no revision ]

Your comment on this question:

To answer, leave an answer instead. Comments are usually for non-answers.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
To alert a user, please use the "@" command and remove spaces from the username, example, the user "John Doe" should be pinged as "@JohnDoe", while the user "Johndoe" should be pinged as "@Johndoe". The post author is always automatically pinged (unless you are the post author).
Please consult the FAQ for as to how to format your post.

Live preview (may slow down editor) Preview

Your name to display (optional):

Email me at this address if a comment is added after mine:

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

[captcha placeholder]

Please complete the anti-spam verification

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.

Live preview (may slow down editor) Preview

Your name to display (optional):

Email me at this address if my answer is selected or commented on:

Privacy: Your email address will only be used for sending these notifications.

Anti-spam verification:

If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysic$\varnothing$Overflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).

Please complete the anti-spam verification

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

Your rights

...