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We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string…

High Energy Physics - Theory · Physics 2021-09-29 Shigenori Seki , Tomohiko Takahashi

We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal…

High Energy Physics - Theory · Physics 2008-11-26 P. A. Grassi , J. F. Morales Morera

We consider $\alpha'$ corrections to the one-loop four-point correlator of the stress-tensor multiplet in $\mathcal{N}=4$ super Yang-Mills at order $1/N^4$. Holographically, this is dual to string corrections of the one-loop supergravity…

High Energy Physics - Theory · Physics 2021-03-16 J. M. Drummond , H. Paul

We calculate bosonic open string one-loop massive scattering amplitudes for some low-lying string states. By using the periodicity relations of Jacobi theta functions, we explicitly prove an infinite number of one-loop type I stringy Ward…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Jen-Chi Lee

In this lectures we outline the construction of pure spinor superstrings. We consider both the open and closed pure spinor superstrings in critical and noncritical dimensions and on flat and curved target spaces with RR flux. We exhibit the…

High Energy Physics - Theory · Physics 2010-11-30 Yaron Oz

We provide a prescription for computing two-point tree amplitudes in the pure spinor formalism that are finite and agree with the corresponding expression in the field theories. In [arXiv:1906.06051v1-arXiv:1909.03672v3], same results were…

High Energy Physics - Theory · Physics 2025-01-15 Sitender Pratap Kashyap

We compute directly in covariant formalism various four point massive scalar amplitudes in bosonic string with scalars up to level 11. The most ``difficult'' amplitude we consider is four identical scalars at level 4, i.e. the first non…

High Energy Physics - Theory · Physics 2025-12-02 Igor Pesando

Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits

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

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

We construct all supergravity theories that can be obtained through factorized orbifold projections of N=8 supergravity, exposing their double-copy structure, and calculate their one-loop four-point scattering amplitudes. We observe a…

High Energy Physics - Theory · Physics 2015-06-12 John Joseph M. Carrasco , Marco Chiodaroli , Murat Gunaydin , Radu Roiban

In this paper we give a proof of the equivalence between the RNS and Pure Spinor formalism for Type I tree level amplitudes involving up to four fermions. This result have been obtained previously for amplitudes involving only closed or…

High Energy Physics - Theory · Physics 2011-11-28 G. Alencar , M. O. Tahim , R. R. Landim , R. N. Costa Filho

We use Pure Spinor String Theory to construct suitable building blocks to arrange the structure of supergravity amplitudes with n-points and at higher loops in a very convenient way. Following Mafra et al. proposal for N=4 super Yang-Mills…

High Energy Physics - Theory · Physics 2011-07-21 P. A. Grassi , L. Sommovigo

We show that the single trace heterotic N-point tree-level gauge amplitude A_HET can be obtained from the corresponding type I amplitude A_I by the single-valued (sv) projection: A_HET=sv(A_I). This projection maps multiple zeta values to…

High Energy Physics - Theory · Physics 2015-06-18 Stephan Stieberger , Tomasz R. Taylor

Using the pure spinor formalism, we compute the tree-level correlation functions for three strings, one closed and two open, in N=1 D=10 superspace. Expanding the superfields in components, the respective terms of the effective action for…

High Energy Physics - Theory · Physics 2009-02-23 Geova Alencar

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 study the field theory limit of multi-loop (super)string amplitudes, with the aim of clarifying their relationship to Feynman diagrams describing the dynamics of the massless states. We propose an explicit map between string moduli…

High Energy Physics - Theory · Physics 2015-06-16 Lorenzo Magnea , Sam Playle , Rodolfo Russo , Stefano Sciuto

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

Compactification of heterotic string on a Calabi-Yau threefold can lead to a four-dimensional low-energy effective theory which contains a $U(1)$ gauge theory which is pseudo-anomalous, meaning that the fermion content is anomalous, but…

High Energy Physics - Theory · Physics 2025-03-12 Jeffrey A. Harvey , Tai Wai Hu

Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct {\sl ab initio} quantized bosonic string theory with…

High Energy Physics - Theory · Physics 2017-12-11 Kanghoon Lee , Soo-Jong Rey , J. A. Rosabal
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