Details
| Original language | English |
|---|---|
| Pages (from-to) | 153-160 |
| Number of pages | 8 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 390 |
| Issue number | 1-4 |
| Publication status | Published - 2 Jan 1997 |
Abstract
It is known that the critical N = (2, 2) string describes 2 + 2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1, 1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell instantons individually break the Lorentz group further to SU(1, 1). However, their contributions conspire to restore full SO(2, 2) global symmetry if dilaton and axion fields are assembled in a null anti-self-dual two-form, denying them the status of Lorentz scalars. We present the fully SO(2, 2) invariant tree-level three-point amplitude and the corresponding extension of the Plebanski action for self-dual gravity.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 390, No. 1-4, 02.01.1997, p. 153-160.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Restoring reality for the self-dual N = 2 string
AU - Bischoff, Jan
AU - Lechtenfeld, Olaf
N1 - Funding Information: * Supported in part by the Deutsche Forschungsgemeinschaft the Volkswagen Foundation. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1997/1/2
Y1 - 1997/1/2
N2 - It is known that the critical N = (2, 2) string describes 2 + 2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1, 1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell instantons individually break the Lorentz group further to SU(1, 1). However, their contributions conspire to restore full SO(2, 2) global symmetry if dilaton and axion fields are assembled in a null anti-self-dual two-form, denying them the status of Lorentz scalars. We present the fully SO(2, 2) invariant tree-level three-point amplitude and the corresponding extension of the Plebanski action for self-dual gravity.
AB - It is known that the critical N = (2, 2) string describes 2 + 2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1, 1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell instantons individually break the Lorentz group further to SU(1, 1). However, their contributions conspire to restore full SO(2, 2) global symmetry if dilaton and axion fields are assembled in a null anti-self-dual two-form, denying them the status of Lorentz scalars. We present the fully SO(2, 2) invariant tree-level three-point amplitude and the corresponding extension of the Plebanski action for self-dual gravity.
UR - http://www.scopus.com/inward/record.url?scp=0042637990&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(96)01365-2
DO - 10.1016/S0370-2693(96)01365-2
M3 - Article
AN - SCOPUS:0042637990
VL - 390
SP - 153
EP - 160
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 - 1-4
ER -