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This paper explores the moduli-dependent coefficients of higher derivative interactions that appear in the low-energy expansion of the four-graviton amplitude of maximally supersymmetric string theory compactified on a d-torus. These…

High Energy Physics - Theory · Physics 2015-03-13 Michael B. Green , Jorge G. Russo , Pierre Vanhove

In the light of the recent Lin, Lunin, Maldacena (LLM) results we investigate 1/2-BPS geometries in minimal (and next-to minimal) supergravity in D=6 dimensions. In the case of minimal supergravity, solutions are given by fibrations of a…

High Energy Physics - Theory · Physics 2009-11-10 Dario Martelli , Jose F. Morales

The unitarity equations for the boson interaction amplitudes in the superstring theory are used to calculate the interaction amplitudes including the Ramond states, which are 10-fermion and Ramond bosons. The n-loop, 4-point amplitude with…

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

We discuss toroidal compactifications of maximal supergravity coupled to an extended configuration of BPS states which transform consistently under the U-duality group. Under certain conditions this leads to theories that live in more than…

High Energy Physics - Theory · Physics 2015-06-25 Bernard de Wit

We consider the D^8 R^5 and D^{10} R^5 terms in the low momentum expansion of the five graviton amplitude in type IIB string theory at one loop. They involve integrals of various modular graph functions over the fundamental domain of…

High Energy Physics - Theory · Physics 2017-06-07 Anirban Basu

We consider the four-graviton amplitudes in CHL constructions providing four-dimensional N=4 models with various numbers of vector multiplets. We show that in these models the two-loop amplitude has a prefactor of d^2R^4. This implies a…

High Energy Physics - Theory · Physics 2015-06-04 Piotr Tourkine , Pierre Vanhove

We consider circular Wilson loops in a defect version of $\mathcal{N}=4$ super-Yang-Mills theory which is dual to the D3-D5 brane system with $k$ units of flux. When the loops are parallel to the defect, we can construct both BPS and…

High Energy Physics - Theory · Physics 2020-04-22 S. Bonansea , S. Davoli , L. Griguolo , D. Seminara

It is shown that N=4 gauged supergravity in four dimensions is obtained by compactifying N=1 supergravity in ten dimensions on the group manifold $S^3\times S^3$. This could be further related to supergravity in eleven dimensions. Analysis…

High Energy Physics - Theory · Physics 2015-03-10 Ali H. Chamseddine

We reanalyze the constraints imposed on lepton-number violating interactions by radiative contributions to neutrino masses at the one- and two-loop level in supersymmetric models without R-parity. The interactions considered are the $\Delta…

High Energy Physics - Phenomenology · Physics 2009-11-07 Francesca Borzumati , Jae Sik Lee

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

We consider the simplest four-point scattering amplitude of $SO(n)$ tensor multiplets in six-dimensional (2,0) supergravity on AdS$_3\times$S$^3$. Using crossing symmetry and the consistency of the operator product expansion in the dual…

High Energy Physics - Theory · Physics 2026-02-13 Francesco Aprile , Hynek Paul , Michele Santagata

In these proceedings, the multiloop amplitude prescription using the super-Poincare invariant pure spinor formalism for the superstring is reviewed. Unlike the RNS prescription, there is no sum over spin structures and surface terms coming…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits

We study some aspects of Maldacena's large $N$ correspondence between N=4 superconformal gauge theory on D3-brane and maximal supergravity on AdS_5xS_5 by introducing macroscopic strings as heavy (anti)-quark probes. The macroscopic strings…

High Energy Physics - Theory · Physics 2011-09-13 Soo-Jong Rey , Jung-Tay Yee

We carry out a general analysis of the representations of the superconformal algebras OSp(8/4,R) and OSp(8*/2N) in terms of harmonic superspace. We present a construction of their highest-weight UIR's by multiplication of the different…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Ferrara , Emery Sokatchev

We demonstrate the simplicity of $AdS_5\times S^5$ IIB supergravity at one loop level, by studying non-planar holographic four-point correlators in Mellin space. We develop a systematic algorithm for constructing one-loop Mellin amplitudes…

High Energy Physics - Theory · Physics 2020-09-01 Luis F. Alday , Xinan Zhou

In this note we derive an explicit modular invariant formula for the two loop 4-point amplitude in superstring theory in terms of a multiple integral (7 complex integration variables) over the complex plane which is shown to be convergent.…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Iengo , Chuan-Jie Zhu

It has been speculated in the literature that the effective actions of string theories at any order of $\alpha'$ should be invariant under the Buscher rules plus their higher covariant derivative corrections. This may be used as a…

High Energy Physics - Theory · Physics 2018-05-23 Hamid Razaghian , Mohammad R. Garousi

We investigate and clarify the mutual compatibility of the higher order corrections arising in supergravity and string theory effective actions and the non-linear duality symmetries of these theories. Starting from a conventional tree level…

High Energy Physics - Theory · Physics 2015-05-28 Guillaume Bossard , Hermann Nicolai

Scattering amplitudes of superstring theory are strongly constrained by the requirement that they be invariant under dualities generated by discrete subgroups, E_n(Z), of simply-laced Lie groups in the E_n series (n<= 8). In particular,…

High Energy Physics - Theory · Physics 2015-03-13 Michael B. Green , Stephen D. Miller , Jorge G. Russo , Pierre Vanhove

Certain one-loop processes in eleven-dimensional supergravity compactified on T**2 determine exact, non-perturbative, terms in the effective action of type II string theories compactified on a circle. One example is the modular invariant…

High Energy Physics - Theory · Physics 2010-11-19 Michael B. Green , Michael Gutperle , Hwang-hyun Kwon