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I hope you don't mind this elementary question, but I got stuck with

it this evening:

GSW state in their equ. (2.1.44) that a combined reparametrisation and

a Weyl scaling obeying

d^aA^b + d^bA^a = Gamma n^ab

don't change the choosen gauge h^ab=n^ab. Now I tried to proof this.

The metric varies according to

delta n^ab = Gamma n^ab

and this should be zero. As n^ab is definitly not zero, Gamma = 0.

Then d^aA^b = - d^bA^a, which automatically implies eq. (2.1.19) to

vanish too. But then, in the coordinates sigma^+ and sigma^-,

d/d^sigma^+ A^+ = 0 = d/d^sigma^- A^-

Thus the statement that A^+=A^+(sigma^+) and similarily for A^- is

wrong, though I know is it right from other sources. So what is wrong

with my line of reasoning?

Hope someone can find some time and help me.

René.

--

René Meyer

Student of Physics & Mathematics

Zhejiang University, Hangzhou, China

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# Residual conformal symmetry in GSW

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