Super-Poincare Covariant Two-Loop Superstring Amplitudes

Nathan Berkovits (IFT-UNESP; Sao Paulo)

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Super-Poincare Covariant Two-Loop Superstring Amplitudes

High Energy Physics - Theory · Submitted 25 Mar 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The computations are much simpler than in the RNS formalism and include both external bosons and fermions.

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The super-Poincare covariant formalism for the superstring is used to compute massless four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external bosons and fermions.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The super-Poincare covariant formalism for the superstring is used to compute massless four-point two-loop amplitudes in ten-dimensional superspace.	contribution 0.90	0.92	0.44	asserted 1.00
s1	The computations are much simpler than in the RNS formalism and include both external bosons and fermions.	result 0.60	0.86	0.20	asserted 1.00

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The paper

Original abstract

The super-Poincare covariant formalism for the superstring is used to compute massless four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external bosons and fermions.

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References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The closed-string 3-loop amplitude and S-duality
hep-th 2013-08 conditional novelty 8.0 of 10

The first computation of a genus-three closed superstring amplitude yields a D^6 R^4 coefficient that agrees with the Green-Vanhove S-duality prediction.
Higher genus modular graph functions, string invariants, and their exact asymptotics
hep-th 2017-12 conditional novelty 7.0 of 10

Higher-genus modular graph functions, the Arakelov Green function, and the Kawazumi-Zhang invariant degenerate to Laurent polynomials of bounded degree in a natural parameter t, exact to all power orders up to exponen...
The Structure of n-Point One-Loop Open Superstring Amplitudes
hep-th 2012-03 conditional novelty 7.0 of 10

The n-point one-loop open superstring integrand is written in closed form, with kinematic and worldsheet bases of dimension equal to an unsigned Stirling number of the first kind, and shown to share its combinatorics ...
Exploring transcendentality in superstring amplitudes
hep-th 2019-06 conditional novelty 6.0 of 10

The cusp-region part of the genus-one four-graviton amplitude is proven free of irreducible multiple zeta-values to all orders, and the full amplitude is argued to have uniform transcendental weight under a harmonic-s...
Asymptotics of the $D^8 R^4$ genus-two string invariant
hep-th 2018-06 conditional novelty 6.0 of 10

The genus-two D^8 R^4 string invariant is expanded near non-separating, separating, and tropical degeneration limits, and its tropical limit reproduces two-loop supergravity at leading order plus subleading odd-zeta s...

Show 4 more citing papers

Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
hep-th 2015-10 conditional novelty 6.0 of 10

The BCJ-gauge multiparticle superfields of prior work are shown, through five particles, to be a non-linear gauge transform of a simpler Lorentz-gauge recursion, and a Harnad-Shnider gauge choice collapses their theta...
Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
hep-th 2015-05 conditional novelty 6.0 of 10

Explicit local superspace numerators are proposed for the two-loop five-point amplitudes of ten-dimensional maximally supersymmetric Yang-Mills and type II supergravity, satisfying color-kinematics duality.
Scattering equations, supergravity integrands, and pure spinors
hep-th 2015-02 conditional novelty 6.0 of 10

A non-minimal pure spinor worldsheet prescription is proposed whose genus-g correlators are conjectured to equal g-loop type II supergravity integrands, with four-point checks at genus one and two.
Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
hep-th 2014-10 conditional novelty 6.0 of 10

Local pure-spinor-superspace representations of the one-loop five- and six-point SYM integrands are constructed, BCJ duality is verified at five points, and the six-point hexagon anomaly is identified as a BRST obstruction.

How the literature uses it

31 arXiv papers cite this in 44 sentences

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Papers citing it · 34 sentences without a confident label

Compares with it 2 papers

The result can be identified with the kinematic prefactor of supergravity [ref] by comparison with the computation in the RNS formalism [ref] , or via BRST cohomology arguments [ref] .

Scattering equations, supergravity integrands, and pure spinors · Four-point function: Genus two · 0.99
As a sounding example of how simpler computations can be, a good measure is to compare the hundred-pages long calculation of the four-point amplitude at two-loops in the RNS formalism [ref] [ref] versus the ten-pages-long computation using pure spinors [ref] [ref] .

Superstring Scattering Amplitudes with the Pure Spinor Formalism · The Pure Spinor formalism · 0.87

Cites it as background 8 papers

Years later, Berkovits spelled out the multiloop prescription [ref] [ref] and paved the way to show the equivalence of his formalism up to the two-loop level, which is the state-of-the-art situation as of 2008.

Superstring Scattering Amplitudes with the Pure Spinor Formalism · The Pure Spinor formalism · 0.80
To give the example of the type II superstring in Minkowski spacetime, the four-point amplitude for massless external states was computed at tree level and one loop in 1982 [ref] , and at two loops in 2005 [ref] .

Superstring loop amplitudes from the field theory limit · Introduction · 0.96
For a long time the state of the art has been the four-point genus-two amplitude which was constructed in the Ramond-Neveu-Schwarz (RNS) formalism (see [ref] and references therein), reproduced in the pure spinor (PS) formalism and extended to include external fermions [ref] .

Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality · Introduction · 0.94

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