From maximal to minimal supersymmetry in string loop amplitudes

Abstract

We calculate one-loop string amplitudes of open and closed strings with N=1,2,4 supersymmetry in four and six dimensions, by compactification on Calabi-Yau and K3 orbifolds. In particular, we develop a method to combine contributions from all spin structures for an arbitrary number of legs at minimal supersymmetry. Each amplitude is cast into a compact form by reorganizing the kinematic building blocks and casting the worldsheet integrals in a basis. Infrared regularization plays an important role to exhibit the expected factorization limits. We comment on implications for the one-loop string effective action.

52 + 18 pages, v2: published version, minor simplifications in late section 3.3

References in corpus (17)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• On the modular structure of the genus-one Type II superstring low energy expansion
• R^4, purified
• Berends-Giele recursions and the BCJ duality in superspace and components
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Matching the $D^6{\mathcal{R}}^4$ interaction at two-loops
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• F-theory at order ${\alpha }^{\prime 3}$
• Universality in string interactions
• The One-Loop Five-Graviton Amplitude and the Effective Action
• String predictions for near future colliders from one-loop scattering amplitudes around D-brane worlds
• Current Algebra on the Torus
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• One-loop Einstein-Hilbert term in minimally supersymmetric type IIB orientifolds
• Simplifying one-loop amplitudes in superstring theory

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• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points
• Generating series of all modular graph forms from iterated Eisenstein integrals
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Color-kinematics duality from the Bern-Kosower formalism
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• One-loop diagrams with quadratic propagators from the worldsheet
• One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet
• Fermionic one-loop amplitudes of the RNS superstring
• Cyclic products of Szegö kernels and spin structure sums I: hyper-elliptic formulation
• Basis decompositions of genus-one string integrals
• Perturbative higher-derivative terms in N=6 asymmetric orbifolds