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- From: baez@guitar.ucr.edu (john baez)
- Newsgroups: sci.physics
- Subject: Re: Super-Strings
- Message-ID: <25441@galaxy.ucr.edu>
- Date: 26 Jan 93 04:58:23 GMT
- References: <74300@cup.portal.com> <1k09cpINNsg7@gap.caltech.edu>
- Sender: news@galaxy.ucr.edu
- Organization: University of California, Riverside
- Lines: 25
- Nntp-Posting-Host: guitar.ucr.edu
-
- In article <1k09cpINNsg7@gap.caltech.edu> brahm@cco.caltech.edu (David E. Brahm) writes:
- >lordSnooty@cup.portal.com (Andrew - Palfreyman) writes:
- >> I wonder if the fad with string theory and superstrings is simply
- >> Occam's Razor in action, or is it perhaps something at a deeper
- >> level? I mean that one could just as easily have chosen a primitive
- >> of higher dimensionality.
- >
- >One could, and people do ("super-membrane theory"), but there is something
- >particularly nice about 1+1 dimensions (the world sheet of a string),
- >called (I believe) conformal invariance.
-
- Yes, people have studied "p-branes," but they are supposedly much less
- well-behaved; when you quantize them they give infinities that people
- apparently have not been able to renormalize away.
-
- Also: the world sheet of a string is not just 2-dimensional, it's a
- Riemann surface. This is where the conformal invariance comes in. Recall
- how in E&M you used conformal invariance of 2d electrostatics to solve
- the Laplace equation with weird boundary conditions? You were tapping
- the power of the conformal group, which is infinite-dimensional in
- the 2d case. There is so much powerful mathematics associated with
- Riemann surfaces that it is natural to want to use it... and this is
- what people have done (greatly pushing forward the subject in the
- process). Of course, it's not clear whether Nature finds this mathematics
- as tempting as we do.
-