Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-05-26
Phys.Rev. D68 (2003) 066004
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 8 figures, minor changes made
Scientific paper
10.1103/PhysRevD.68.066004
In the semi-light cone gauge $g_{ab}=e^{2\phi}\delta_{ab}$, $\bar{\gamma}^+\theta=0$, we evaluate the $\phi$-dependent effective action for the pp-wave Green-Schwarz (GS) superstring in both harmonic and group coordinates. When we compute the fermionic $\phi$-dependent effective action in harmonic coordinates, we find a new triangular one-loop Feynman diagram. We show that the bosonic $\phi$-dependent effective action cancels with the fermionic one, indicating that the pp-wave GS superstring is a conformal field theory. We introduce the group coordinates preserving $SO(4)\times SO(4)$ and conformal symmetry. Group coordinates are interesting because vertex operators take simple forms in them. The new feature in group coordinates is that there are logarithmic divergences from n-gons, so that the divergent structure is more complicated than in harmonic coordinates. After summing over all contributions from n-gons, we show that in group coordinates, the GS superstring on pp-wave RR background is still a conformal field theory.
Walton Mark A.
Zhou Jian-Ge
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