TY - JOUR

T1 - Self-dual gravity as a large-N limit of the 2D non-linear sigma model

AU - Park, Q. Han

PY - 1990/4/5

Y1 - 1990/4/5

N2 - The 4D self-dual gravity is shown to be equivalent to a large-N limit of the 2D non-linear sigma model with Wess-Zumino terms only. Infinite dimensional symmetries of the self-dual Einstein equations are derived and shown to form a closed algebra which includes W∞-a large-N limit of Zamolodchikov's WN algebra. These are interpreted in terms of Penrose's twistor theory.

AB - The 4D self-dual gravity is shown to be equivalent to a large-N limit of the 2D non-linear sigma model with Wess-Zumino terms only. Infinite dimensional symmetries of the self-dual Einstein equations are derived and shown to form a closed algebra which includes W∞-a large-N limit of Zamolodchikov's WN algebra. These are interpreted in terms of Penrose's twistor theory.

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U2 - 10.1016/0370-2693(90)91737-V

DO - 10.1016/0370-2693(90)91737-V

M3 - Article

AN - SCOPUS:0001251873

VL - 238

SP - 287

EP - 290

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2-4

ER -