Advanced search    

Search: authors:"Oliver Schlotterer"

12 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Amplitude relations in heterotic string theory and Einstein-Yang-Mills

We present all-multiplicity evidence that the tree-level S-matrix of gluons and gravitons in heterotic string theory can be reduced to color-ordered single-trace amplitudes of the gauge multiplet. Explicit amplitude relations are derived for up to three gravitons, up to two color traces and an arbitrary number of gluons in each case. The results are valid to all orders in the ...

Non-abelian Z-theory: Berends-Giele recursion for the α ′-expansion of disk integrals

We present a recursive method to calculate the α ′ -expansion of disk integrals arising in tree-level scattering of open strings which resembles the approach of Berends and Giele to gluon amplitudes. Following an earlier interpretation of disk integrals as doubly partial amplitudes of an effective theory of scalars dubbed as Z-theory, we pinpoint the equation of motion of Z-theory ...

Universality in string interactions

In this note, we provide evidence for universality in the low-energy expansion of tree-level string interactions. More precisely, in the α′-expansion of tree-level scattering amplitudes, we conjecture that the leading transcendental coefficient at each order in α′ is universal for all perturbative string theories. We have checked this universality up to seven points and trace its ...

Einstein-Yang-Mills from pure Yang-Mills amplitudes

We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color traces are reduced to partial amplitudes of pure Yang-Mills theory. In fact, the double-trace identities apply to Einstein-Yang-Mills extended ...

One-loop superstring six-point amplitudes and anomalies in pure spinor superspace

We present the massless six-point one-loop amplitudes in the open and closed superstring using BRST cohomology arguments from the pure spinor formalism. The hexagon gauge anomaly is traced back to a class of kinematic factors in pure spinor superspace which were recently introduced as BRST pseudo-invariants. This complements previous work where BRST invariance arguments were used ...

Berends-Giele recursions and the BCJ duality in superspace and components

The recursive method of Berends and Giele to compute tree-level gluon amplitudes is revisited using the framework of ten-dimensional super Yang-Mills. First, we prove that the pure spinor formula to compute SYM tree amplitudes derived in 2010 reduces to the standard Berends-Giele formula from the 80s when restricted to gluon amplitudes and additionally determine the fermionic ...

Non-linear gauge transformations in D = 10 SYM theory and the BCJ duality

Recent progress on scattering amplitudes in super Yang-Mills and super-string theory benefitted from the use of multiparticle superfields. They universally capture tree-level subdiagrams, and their generating series solve the non-linear equations of ten-dimensional super Yang-Mills. We provide simplified recursions for multiparticle superfields and relate them to earlier ...

Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace

Supersymmetric integrands for the two-loop five-point amplitudes in tendimensional super Yang-Mills and type II supergravity are proposed. The kinematic numerators are manifestly local and satisfy the duality between color and kinematics described by Bern, Carrasco and Johansson. Our results are expected to reproduce the integrated two-loop amplitudes in dimensions D < 7. The UV ...

String-inspired BCJ numerators for one-loop MHV amplitudes

We find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory numerators satisfy the Bern-Carrasco-Johansson (BCJ) duality between color and kinematics, so that the gravity numerators are simply the square of the gauge-theory ones. The duality holds because the ...

Elliptic multiple zeta values and one-loop superstring amplitudes

We investigate iterated integrals on an elliptic curve, which are a natural genus-one generalization of multiple polylogarithms. These iterated integrals coincide with the multiple elliptic polylogarithms introduced by Brown and Levin when constrained to the real line. At unit argument they reduce to an elliptic analogue of multiple zeta values, whose network of relations we start ...

The structure of n-point one-loop open superstring amplitudes

Carlos R. Mafra 1 Oliver Schlotterer 0 0 Max-Planck-Institut fur Gravitationsphysik, Albert-Einstein-Institut , Am Muhlenberg 1, 14476 Golm, Germany 1 DAMTP, University of Cambridge , Wilberforce

Multiparticle SYM equations of motion and pure spinor BRST blocks

Carlos R. Mafra 1 Oliver Schlotterer 0 0 Max-Planck-Institut fur Gravitationsphysik, Albert-Einstein-Institut , 14476 Potsdam, Germany 1 DAMTP, University of Cambridge Wilberforce Road , Cambridge