Timeline for Green's function on torus

7 events

when toggle format	what		by	license	comment
Jan 13, 2020 at 2:26	comment	added	phys_student		@Wakabaloola Yes, the Beltrami form is tangent to the gauge slice.
Jan 6, 2020 at 14:40	comment	added	Wakabaloola		h is the zero mode(s) and eta specifies a gauge slice
Jan 5, 2020 at 17:07	comment	added	mike stone		I don't have access to the Eguchi paper here, although I have read it a long time ago. I'll have a look at what they do when I get into the office tomorrow.
Jan 5, 2020 at 16:37	comment	added	phys_student		If $h$ or $\eta$ corresponds to zero mode, then the second term should be of the form with like $h^* h$ or $\eta^\eta$, as $\phi^_0\phi_0$ in the answer. However, the second term take the form $\eta h$. (Where I omit the indices $z,\bar{z}$)
Jan 5, 2020 at 16:14	comment	added	phys_student		Thank you very much! This paper sciencedirect.com/science/article/pii/… "Conformal and current algebras on a general Riemann surface" have considered similar Green function for higher genus case in eq(8) which is $\nabla^z G^z(z,w)=\delta^{(2)}(z-w)-\sum_{j=1}^{3g-3}g^{z\bar{z}}\eta^z_{\bar{z},j}(z,\bar{z})h_{ww}^j(w)$, where the second term should correspond zero modes. So here what the zero modes is $\eta$ or $h$?($\eta$ is called Beltrami form and $h$ is holomophic quadratic differential)
Jan 5, 2020 at 16:05	history	edited	mike stone	CC BY-SA 4.0	added 42 characters in body
Jan 5, 2020 at 15:54	history	answered	mike stone	CC BY-SA 4.0