The geometry of string perturbation theory

1988/10/01 by Eric D’Hoker, D. H. Phong · 30 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons

paper · doi:10.1103/revmodphys.60.917

openalex publication_date 1988/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

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.

Citations

• Quantization of non-Abelian gauge theories
• A unified field theory of mesons and baryons
• The analytic geometry of two-dimensional conformal field theory
• Spontaneous supersymmetry breaking in supersymmetric string theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• Topological quantization and cohomology
• Fayet-Iliopoulos terms in string theory
• Superstring modifications of Einstein's equations
• Some remarks on the Gribov ambiguity
• Nonperturbative effects on the string world sheet (II)
• QUANTUM GRAVITY IN TWO DIMENSIONS
• Integration on noncompact supermanifolds
• A non-linear field theory
• Unity of All Elementary-Particle Forces
• Anomalous Ward Identities in Spinor Field Theories
• Axial-Vector Vertex in Spinor Electrodynamics
• Nonperturbative effects on the string world sheet
• Consistent supergravity

Cited by

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• Type IIA/IIB string duality for targets with abelian isometries
• Explicit cancellation of triangles in one-loop gravity amplitudes
• String interactions from Matrix string theory
• M theory through the looking glass: Tachyon condensation in theE8heterotic string
• Planckian vertices on high genus Riemann surfaces
• On the Projective Geometry of the Supercircle: A Unified Construction of the Super Cross-Ratio and Schwarzian Derivative
• Two-loop string theory on null compactifications
• Vacuum energy cancellation in a nonsupersymmetric string
• Dilute D-instantons at finite temperature
• Worldline Green functions for arbitrary Feynman diagrams
• Worldline path integrals for fermions with general couplings
• Strings in noncompact spacetimes: Boundary terms and conserved charges
• Two-loop superstrings in hyperelliptic language III: the four-particle amplitude
• Lattice theta constants vs Riemann theta constants and NSR superstring measures
• Spacetime supersymmetry of extended fermionic strings in 2+2 dimensions
• Two-loop superstrings IV
• All-order quantum gravity in two dimensions
• D6R4term in type IIB string theory onT2and U-duality
• ON THE EVALUATION OF COMPTON SCATTERING AMPLITUDES IN STRING THEORY
• JOINING-SPLITTING INTERACTION OF NONCRITICAL STRING
• Some superstring amplitude computations with the non-minimal pure spinor formalism
• Two-loop superstrings in hyperelliptic language II: the cosmological constant and the non-renormalization theorem
• Open worldsheets for holographic interfaces
• TWO-LOOP EULER–HEISENBERG EFFECTIVE ACTIONS FROM CHARGED OPEN STRINGS
• On the holomorphic factorization for superconformal fields
• Absence of irreducible multiple zeta-values in melon modular graph functions
• Duong Hong Phong [wikipedia]
• Eric D'Hoker [wikipedia]