Multiparticle one-loop amplitudes and S-duality in closed superstring theory

DOI10.1007/JHEP10(2013)188zbMath1342.83372arXiv1307.3534OpenAlexW3100632988MaRDI QIDQ737692

Michael B. Green, Carlos R. Mafra, Oliver Schlotterer

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3534

zbMATH Keywords

string dualitysuperspacessuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30)

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Uses Software

• PSS

Cites Work

• \(R^4\) couplings and automorphic unipotent representations
• Towards field theory amplitudes from the cohomology of pure spinor superspace
• A simple approach to counterterms in N=8 supergravity
• The one-loop \(H^{2}R^{3}\) and \(H^{2}(\nabla H)^{2}R\) terms in the effective action
• Absence of triangles in maximal supergravity amplitudes
• Recursion relations from space-time supersymmetry
• Explicit cancellation of triangles in one-loop gravity amplitudes
• Eisenstein series for higher-rank groups and string theory amplitudes
• The momentum kernel of gauge and gravity theories
• The multiple zeta value data mine
• The \(\hat{G}^4\lambda^{16}\) term in IIB supergravity
• Integrand oxidation and one-loop colour-dual numerators in \( \mathcal{N}=4 \) gauge theory
• Superstring amplitudes and the associator
• Two-loop superstrings and \(S\)-duality
• Y-formalism in pure spinor quantization of superstrings
• Effects of D-instantons
• Type IIB \(R^4H^{4g-4}\) conjectures
• Unity of superstring dualities.
• A one-loop test of string duality
• Revisiting the S-matrix approach to the open superstring low energy effective Lagrangian
• Proof of gravity and Yang-Mills amplitude relations
• Towards the n-point one-loop superstring amplitude. III: One-loop correlators and their double-copy structure
• Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
• Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
• On the field theory expansion of superstring five point amplitudes
• Closed string amplitudes as single-valued open string amplitudes
• The overall coefficient of the two-loop superstring amplitude using pure spinors
• Multiple zeta values and periods of moduli spaces \(\bar {\mathfrak M}_{0,n}\).
• Polylogarithms, multiple zeta values and superstring amplitudes
• Motivic multiple zeta values and superstring amplitudes
• On the decomposition of motivic multiple zeta values
• Amplitude for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Gluon Superstring Scattering
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• The structure of the $\mathcal {R}^8$ term in type IIB string theory
• Super-Poincaré covariant quantization of the superstring
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