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Einstein Frame from String Frame

Consider the following low-energy effective action in $D$ dimensions for the bosonic sector: $$ I=\frac{1}{2\kappa_0^2}\int d^Dx\sqrt{-g}e^{-{2\Phi}}\left[R-2\Lambda+4g_{\mu\nu}\partial^\mu\Phi\...
Daniel Vainshtein's user avatar
0 votes
1 answer
100 views

Has Carl Brans got the wrong Brans-Dicke parameter ($w=1$) for String Theory?

In his 2005 paper The roots of scalar-tensor theory: an approximate history Carl H.Brans claims his Brans-Dicke Theory whose field equations can be derived from the following action accords with ...
John Eastmond's user avatar
1 vote
1 answer
161 views

Sign Wrong in Effective Action of Bosonic String?

In David Tong's Lectures in String Theory Chapter 7 he sketches a derivation of the low-energy effective action of the bosonic string $(7.16)$: $$S=\frac{1}{2k_0^2}\int d^{26}X\sqrt{-G}e^{-2\Phi}\Big(\...
John Eastmond's user avatar
2 votes
1 answer
187 views

Low energy effective action of bosonic string different in GSW and Polchinski/Tong?

In Superstring Theory vol.1 by Green, Schwarz and Witten (GSW) the low energy effective action of the bosonic string is given by: $$S=-\frac{1}{2k_0^2}\int d^{26}x\sqrt{-g}e^{-2\Phi}({\cal R}-4\...
John Eastmond's user avatar
1 vote
1 answer
111 views

Sign of effective action of bosonic string?

I've been looking at David Tong's Lectures on String Theory. He states that the low-energy effective action of the bosonic string is given by $$S=\frac{1}{2k_0^2}\int d^{26}X\sqrt{-G}e^{-2\Phi}\Big(\...
John Eastmond's user avatar