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Proof of String Theory Virasoro Algebra

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Hi! I haven proven the Virasoro Algebra that arises in bosonic string theory. This is really a basic excercise but I got it wrong several times, so I latexed it: http://hanno-rein.de/sonstiges/24/

Include it if you think it may be useful for someone else. I don't want to add my own link.

Hanno

A shorter derivation is done in 't Hooft's lectures--Lionelbrits (talk) 19:04, 3 February 2008 (UTC)[reply]

Used for ?

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Can we get some information on what the Virasoro alg. is actually used for, I mean in terms of physics ? MP (talk) 17:20, 2 April 2006 (UTC)[reply]

It's quick and dirty and probably difficult to understand, but I've added some short material about the virasoro algebra in string theory. Is it what you had in mind? -lethe talk + 21:28, 2 April 2006 (UTC)[reply]

Well it's a start. Yes, it's the sort of thing I had in mind. Thanks. MP (talk) 10:25, 4 April 2006 (UTC)[reply]


I don't want to be an ass, but what you describe as a "lowest weight rep" is in fact a "highest weight rep" (mathematics). Physically, it has the lowest energy, but it's still called a highest weight rep.

This is true. Myrkkyhammas (talk) 08:16, 28 February 2009 (UTC)[reply]

Real elements ?

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The statement that "L_n+L_(-n) and c are real elements" should be explained.

Fuchs v.s. Fuks

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Dimitry spells his name "Fuchs". I changed the three appearances of his name to reflect this. I couldn't find a copy of "The cohomology of the Lie algebra of vector fields in a circle" to verify it was not published under the name "Fuks". — Preceding unsigned comment added by Aaport (talkcontribs) 20:52, 14 February 2011 (UTC)[reply]