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All the models of elementary particles and their interactions derived from String Theory involve a compact six-dimensional internal space. Its volume and shape should be fixed or stabilized, since otherwise massless scalar fields (moduli)…

High Energy Physics - Theory · Physics 2015-06-23 Noriaki Kitazawa

After constructing a simplified four-dimensional version of the b ghost, topological multiloop amplitudes in type II superstring theory compactified on a six-dimensional orbifold are computed using the non-minimal pure spinor formalism.…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Berkovits , Luis Alberto Ypanaqué

We present a prescription for computing the tree-level two-point amplitude of closed strings in the pure spinor superstring formalism, thereby completing the analysis of such superstring amplitudes. The construction relies on fixing the…

High Energy Physics - Theory · Physics 2025-12-30 Sitender Pratap Kashyap

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 calculate tree level scattering amplitudes for open strings using the NSR formalism. We present a streamlined symmetry-based and pedagogical approach to the computations, which we first develop by checking two-, three-, and four-point…

High Energy Physics - Theory · Physics 2016-08-22 Katrin Becker , Melanie Becker , Ilarion V. Melnikov , Daniel Robbins , Andrew B. Royston

We calculate the absorption amplitudes of a closed string state at arbitrary mass level leading to two open string states on the D-brane at high energies. As in the case of Domain-wall scattering we studied previously, this process contains…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Chi Lee , Yi Yang

In a direct open string approach we analyze scattering of massless states on a stack of D3-branes. First we construct vertex operators on the D-branes. The 4+6 splitting for the fermionic part is made possible by inserting appropriately…

High Energy Physics - Theory · Physics 2008-11-26 I. Y. Park

We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A-infinity relations (which generalize associativity of the boundary product of topological…

High Energy Physics - Theory · Physics 2009-11-10 Manfred Herbst , C. I. Lazaroiu , Wolfgang Lerche

We propose a formalism inspired by matrix models to compute open and closed topological string amplitudes in the B-model on toric Calabi-Yau manifolds. We find closed expressions for various open string amplitudes beyond the disk, and in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

In this paper, we address how to implement T duality to the closed string tree cylinder amplitude between a Dp brane and a Dp$'$ brane with $p - p' = 2 \,n$. For this, we first compute the closed string tree cylinder amplitude between these…

High Energy Physics - Theory · Physics 2025-04-15 J. X. Lu

The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory…

Mathematical Physics · Physics 2015-12-10 Kanehisa Takasaki , Toshio Nakatsu

Using the recent results in the pure spinor formulation, we lay out a ground-work towards the full momentum space amplitudes of open superstrings at three-loop. After briefly reviewing the one-loop amplitude, we directly work out the…

High Energy Physics - Theory · Physics 2010-09-28 I. Y. Park

We study the construction of D-brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D-brane boundary states in the pure spinor conformal…

High Energy Physics - Theory · Physics 2009-11-11 Ricardo Schiappa , Niclas Wyllard

We calculate one-loop string amplitudes of open and closed strings with N=1,2,4 supersymmetry in four and six dimensions, by compactification on Calabi-Yau and K3 orbifolds. In particular, we develop a method to combine contributions from…

High Energy Physics - Theory · Physics 2017-05-10 Marcus Berg , Igor Buchberger , Oliver Schlotterer

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

It has been known for about thirty years that a scattering amplitude involving D0-branes and closed strings suffers from infrared divergences beyond tree level. These divergences arise because the conventional world-sheet approach cannot…

High Energy Physics - Theory · Physics 2025-12-09 Ashoke Sen , Bogdan Stefański

We study the behavior of the effective potential between revolving D$p$-branes at all ranges of the distance $r$, interpolating $r \gg l_s$ and $r \ll l_s$ ($l_s$ is the string length). Since the one-loop open string amplitude cannot be…

High Energy Physics - Theory · Physics 2020-02-19 Satoshi Iso , Noriaki Kitazawa , Hikaru Ohta , Takao Suyama

We study on-shell scattering amplitudes for continuous-spin particles (CSPs). Poincar\'e invariance, little-group $ISO(2)$ covariance, analyticity, and on-shell factorisation (unitarity) impose stringent conditions on these amplitudes. We…

High Energy Physics - Theory · Physics 2025-05-19 Brando Bellazzini , Stefano De Angelis , Marcello Romano

We explicitly calculate the disk-level S-matrix element of two closed string R-R and one open string NS vertex operators in RNS formalism. We show that the amplitude satisfies various duality Ward identities. In particular, when one of the…

High Energy Physics - Theory · Physics 2017-09-27 Mojtaba Mohammadzadeh , Mohammad R. Garousi

Recently, it has been observed that the IIB scattering amplitudes are compatible with the standard rules of S-duality. Inspired by this observation, we will find the tree-level S-matrix elements of one Ramond-Ramond and three open strings…

High Energy Physics - Theory · Physics 2019-03-27 Komeil Babaei Velni , H. Babaei-Aghbolagh