Details
| Original language | English |
|---|---|
| Pages (from-to) | 4191-4236 |
| Number of pages | 46 |
| Journal | International Journal of Modern Physics A |
| Volume | 15 |
| Issue number | 26 |
| Publication status | Published - 20 Oct 2000 |
Abstract
We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N = 2 string and describe an infinite set of symmetry charges acting on physical states. The transformations of physical string states are compared with symmetries of self-dual gravity which is the effective field theory of the closed N = 2 string. We derive all infinitesimal symmetries of the self-dual gravity equations in (2+2)-dimensional space-time and introduce an infinite hierarchy of commuting flows on the moduli space of self-dual metrics. The dependence on moduli parameters can be recovered by solving the equations of the SDG hierarchy associated with an infinite set of Abelian symmetries generated recursively from translations. These nonlocal Abelian symmetries are shown to coincide with the hidden Abelian string symmetries responsible for the vanishing of most scattering amplitudes. Therefore, N = 2 string theory 'predicts' not only self-dual gravity but also the SDG hierarchy.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
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In: International Journal of Modern Physics A, Vol. 15, No. 26, 20.10.2000, p. 4191-4236.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Closed N = 2 strings
T2 - Picture-changing, hidden symmetries and SDG hierarchy
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding Information: A. D. Popov thanks the Institut für Theoretische Physik der Universität Hannover for its hospitality. The work of A. D. Popov was partially supported by the grant RFBR-99-01-01076 and \Freundeskreis der Universität Hannover e.V." O. Lechten-feld acknowledges support by DFG under the grant LE-838/5. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2000/10/20
Y1 - 2000/10/20
N2 - We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N = 2 string and describe an infinite set of symmetry charges acting on physical states. The transformations of physical string states are compared with symmetries of self-dual gravity which is the effective field theory of the closed N = 2 string. We derive all infinitesimal symmetries of the self-dual gravity equations in (2+2)-dimensional space-time and introduce an infinite hierarchy of commuting flows on the moduli space of self-dual metrics. The dependence on moduli parameters can be recovered by solving the equations of the SDG hierarchy associated with an infinite set of Abelian symmetries generated recursively from translations. These nonlocal Abelian symmetries are shown to coincide with the hidden Abelian string symmetries responsible for the vanishing of most scattering amplitudes. Therefore, N = 2 string theory 'predicts' not only self-dual gravity but also the SDG hierarchy.
AB - We study the action of picture-changing and spectral flow operators on a ground ring of ghost number zero operators in the chiral BRST cohomology of the closed N = 2 string and describe an infinite set of symmetry charges acting on physical states. The transformations of physical string states are compared with symmetries of self-dual gravity which is the effective field theory of the closed N = 2 string. We derive all infinitesimal symmetries of the self-dual gravity equations in (2+2)-dimensional space-time and introduce an infinite hierarchy of commuting flows on the moduli space of self-dual metrics. The dependence on moduli parameters can be recovered by solving the equations of the SDG hierarchy associated with an infinite set of Abelian symmetries generated recursively from translations. These nonlocal Abelian symmetries are shown to coincide with the hidden Abelian string symmetries responsible for the vanishing of most scattering amplitudes. Therefore, N = 2 string theory 'predicts' not only self-dual gravity but also the SDG hierarchy.
UR - http://www.scopus.com/inward/record.url?scp=0034692969&partnerID=8YFLogxK
U2 - 10.1142/S0217751X00001865
DO - 10.1142/S0217751X00001865
M3 - Article
AN - SCOPUS:0034692969
VL - 15
SP - 4191
EP - 4236
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 26
ER -