This Week's Finds in Mathematical Physics (Week 237) - sci.math.research

Nachricht von Diskussion This Week's Finds in Mathematical Physics (Week 237)

Urs Schreiber

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Weitere Optionen 11 Aug. 2006, 12:17

Newsgroups: sci.math.research

Von: "Urs Schreiber" <urs.schrei...@googlemail.com>

Datum: 11 Aug 2006 03:17:07 -0700

Lokal: Fr. 11 Aug. 2006 12:17

Betreff: Re: This Week's Finds in Mathematical Physics (Week 237)

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Aaron Bergman wrote:
> E8 gauge fields also show
> up on the fixed points of M-theory on S^1/Z_2 giving the E8 x E8
> heterotic string.

The topological part of the membrane action involves the integral
of the sugra 3-form over the worldvolume. By DFW, part of that
3-form can be thought of as an E8 CS 3-form.

So part of the membrane action looks similar to an E8 CS-theory
over the worldvolume.

Now let the membrane have a boundary. A bulk E8 CS-theory is
well known to induce an E8 WZW theory on the boundary.

Could this be the connection between the DWF E8 and the
Horava-Witten E8?

I have asked this question before:
http://golem.ph.utexas.edu/string/archives/000791.html. Jarah then
agreed that this must be about right. But it is not completely clear
to me yet.

One problem is that in CS-theory we vary the connection, while in
the topological membrane the E8 connection on the background is fixed
and we vary the embedding by which we pull it back to the worldvolume.
Under suitable assumptions that might be equivalent to varying an E8
connection on the worldvolume itself?

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