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Related papers: Fermionic one-loop amplitudes of the RNS superstri…

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We explore the closed form of the correlation function of four spin operators (including one closed string Ramond-Ramond (RR) and two open string fermions) and one current in ten dimensions, to be able to find the complete and the closed…

High Energy Physics - Theory · Physics 2014-08-13 Ehsan Hatefi

We propose a procedure to determine the moduli-space integrands of loop-level superstring amplitudes for massless external states in terms of the field theory limit. We focus on the type II superstring. The procedure is to: (i) take a…

High Energy Physics - Theory · Physics 2021-11-19 Yvonne Geyer , Ricardo Monteiro , Ricardo Stark-Muchão

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

Calculational tools are provided allowing to determine general tree-level scattering amplitudes for processes involving bosons and fermions in heterotic and superstring theories in four space-time dimensions. We compute higher-point…

High Energy Physics - Theory · Physics 2011-10-11 D. Haertl , O. Schlotterer , S. Stieberger

We compute higher-point superstring correlators involving spin fields in various even space-time dimensions D at tree-level and to arbitrary loop order. This generalizes previous work in D=4 space-time dimensions. The main focus are D=6,8…

High Energy Physics - Theory · Physics 2011-06-15 D. Haertl , O. Schlotterer

We calculate the genus-one three- and four-point amplitudes in the 2+2 dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Olaf Lechtenfeld , Bernd Niemeyer

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic…

High Energy Physics - Theory · Physics 2009-04-13 Carlos R. Mafra , Christian Stahn

We find a direct map that determines moduli-space integrands for one-loop superstring amplitudes in terms of field-theory loop integrands in the BCJ form. The latter can be computed using efficient unitarity methods, so our map provides an…

High Energy Physics - Theory · Physics 2025-02-05 Yvonne Geyer , Jiachen Guo , Ricardo Monteiro , Lecheng Ren

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…

High Energy Physics - Theory · Physics 2020-07-06 Eric D'Hoker , Carlos R. Mafra , Boris Pioline , Oliver Schlotterer

We extend to the fermionic spin-1/2 case earlier work on quantum amplitudes arising from gravitational collapse to a black hole. Boundary data are specified on initial and final asymptotically-flat space-like hypersurfaces $\Sigma_{I,F}$,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. N. St. J. Farley , P. D. D'Eath

We reconsider the moments of the reduced density matrix of two disjoint intervals and of its partial transpose with respect to one interval for critical free fermionic lattice models. It is known that these matrices are sums of either two…

Statistical Mechanics · Physics 2016-06-21 Andrea Coser , Erik Tonni , Pasquale Calabrese

We show the existence of a global anomaly in the one-loop graphs of N=2 string theory, defined by sewing tree amplitudes, unless spacetime supersymmetry is imposed. The anomaly is responsible for the non-vanishing maximally helicity…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Warren Siegel

The contribution from even spin structures to the genus-two amplitude for five massless external NS states in Type II and Heterotic superstrings is evaluated from first principles in the RNS formulation. Using chiral splitting with the help…

High Energy Physics - Theory · Physics 2022-07-26 Eric D'Hoker , Oliver Schlotterer

We consider the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at one loop (i.e. genus one) in a four-dimensional fermionic heterotic string model. Starting from the bosonization of the world-sheet…

High Energy Physics - Theory · Physics 2009-10-30 A. Pasquinucci , M. Petrini

In this article we study in detail the supersymmetric structures that underlie the system of fermionic zero modes around a superconducting cosmic string. Particularly, we extend the analysis existing in the literature on the one dimensional…

High Energy Physics - Theory · Physics 2015-06-18 V. K. Oikonomou

In the Type II superstring the 4-point function for massless NS-NS bosons at one-loop is well known [1][14]. The overall constant factor in this amplitude is very important because it needs to satisfy the unitarity and S-duality conditions…

High Energy Physics - Theory · Physics 2010-02-04 Humberto Gomez

Multiloop superstring amplitudes are calculated in the explicit form by the solution of Ward identities. A naive generalization of Belavin-Knizhnik theorem to the superstring is found to be incorrect since the period matrix turns out to be…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov

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…

High Energy Physics - Theory · Physics 2016-05-05 Carlos R. Mafra , Oliver Schlotterer

Superstring amplitudes of an arbitrary genus are calculated through super-Schottky parameters by a summation over the fermion strings. For a calculation of divergent multi-loop fermion string amplitudes a supermodular invariant…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov