Recent content by AntideSitter

I'm modding out the circle (e.g. x^2 + y^2 =1) by reflection about the y-axis.

Just to correct myself: there are two singularities on S_1/Z_2 , at x=0,1. Strictly speaking we should use two coordinate patches. So there are singularities at each end of the line interval, just where my boundary conditions are.

Hello everybody, I've been puzzling over something (quite simple I assume). Take S^1. Now consider the action of a Z_2 which takes x to -x, where x is a natural coordinate on the cylinder ( -1< x <1). Now we mod out by this action. The new space is an orbifold: smooth except at x=0. It...

Hello Lavinia, I think the best way to think about your two-form would be in terms of its 'dual', by which I mean e^{ij} \omega_{ij} where \omega_{ij} the components of the two-form in a local coordinate frame, and e^{ij} is the completely anti-symmetric matrix. This is a scalar...

Hello there again, Assuming the terms in the stress tensor T which you suggested, I did a holomorphic coordinate transformation on it. That is, I assumed the tensor to have the form: \alpha\, \partial c b + \beta\, c \partial b and then transformed according to the rules for b, c and...

Hi Physics Monkey, thanks for the reply to my long-winded question! And yes, hopefully I'm starting a PhD in holography in September, so the named seemed appropriate ;). OK so your reply got me thinking. I see how if we want b and c to be Weyl invariant, then their tensor weights imply their...

Hey guys, I haven't posted on here for quite a while, so hello to everybody. I've been trying to derive the stress-energy tensor for the ghost LaGrangian: \int d^2 \sigma \sqrt{g} \left( b_{\alpha\beta} \nabla^\alpha c^{\beta} + \omega b^{\alpha\beta} g_{\alpha\beta} \right) for...