Two-loop Yang-Mills diagrams from superstring amplitudes

Magnea, Lorenzo; Playle, Sam; Russo, Rodolfo; Sciuto, S.

doi:10.48550/arxiv.1503.05182

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Comments On the Heterotic And Type I Strings1

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2020

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“…investigated in [93,94,80] using the Schottky representation, reproducing the Feynman diagrams contributing to the Euler-Heisenberg Lagrangian of pure Yang-Mills theory. Our interest is in scattering amplitudes in SYM theory in Minkowski background.…”

Section: Comments On the Heterotic And Type I Stringsmentioning

confidence: 99%

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Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors

D'Hoker,

Mafra,

Pioline

et al. 2020

Preprint

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The full two-loop amplitudes for five massless states in Type II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and Abelian differentials on the surface. The construction combines elements from the BRST cohomology of the pure spinor formulation and from chiral splitting with the help of loop momenta and homology invariance. The α ′ → 0 limit of the resulting superstring amplitude is shown to be in perfect agreement with the previously known amplitude computed in Type II supergravity. Investigations of the α ′ expansion of the Type II amplitude and comparisons with predictions from S-duality are relegated to a first companion paper. A construction from first principles in the RNS formulation of the genus-two amplitude with five external NS states is relegated to a second companion paper.

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Section: Comments On the Heterotic And Type I Stringsmentioning

confidence: 99%

“…Such contact terms are known to arise in the field theory limit of Heterotic amplitudes[64] and Type I partition functions in a magnetic background[80].…”

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confidence: 99%