The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The geometry of string perturbation theory
Abstract
This paper is devoted to recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time. Special emphasis is put on the fundamental role of Riemann surfaces and supersurfaces. The differential and complex geometry of their moduli space is developed as needed. New results for the superstring presented here include the supergeometric construction of amplitudes, their chiral and superholomorphic splitting and a global formulation of supermoduli space and amplitudes.
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Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
The irreducibility of the space of curves of given genus
Deligne, P., & Mumford, D. (1969) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684599 · Cited by 1,631
Anomalous Ward Identities in Spinor Field Theories
Bardeen, W. A. (1969) · Physical Review · doi:10.1103/physrev.184.1848 · Cited by 1,093
R-Torsion and the Laplacian on Riemannian manifolds
Ray, D. B., & Singer, I. M. (1971) · Advances in Mathematics · doi:10.1016/0001-8708(71)90045-4 · Cited by 945
Soliton operators for the quantized sine-Gordon equation
Mandelstam, S. (1975) · Physical Review D · doi:10.1103/physrevd.11.3026 · Cited by 914
Mumford, D. (1983) · Progress in mathematics · doi:10.1007/978-1-4899-2843-6 · Cited by 773
Spontaneous compactification of extra space dimensions
Cremmer, E., & Scherk, J. (1977) · Nuclear Physics B · doi:10.1016/0550-3213(77)90363-7 · Cited by 165
Cited by
Two loops in eleven dimensions
Green, M. B., Kwon, H.-H., & Vanhove, P. (2000) · Physical Review D · doi:10.1103/physrevd.61.104010 · Cited by 121
Carlip, S. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/acceb4 · Cited by 41
New loop representations for 21 gravity
Ashtekar, A., & Loll, R. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/10/004 · Cited by 24
Functional approach to (2 1)-dimensional gravity coupled to particles
Cantini, L., & Menotti, P. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/5/305 · Cited by 4
Metadata
- Authors
- D'Hoker, E., & Phong, D. H.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1988-10-01
- Volume
- 60
- Issue
- 4
- Pages
- 917-1065
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2100861314
- Cited by
- 676
- References
- 9
- FWCI
- 29.90
- Type
- journal article
- Language
- en
- Open access
- closed
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- D'Hoker, E., & Phong, D. H. (1988). The geometry of string perturbation theory. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.60.917
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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