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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

It has been often conjectured that the correct theory of quantum gravity will act as a UV regulator in the low energy limit of quantum field theory. Earlier work has shown that if the path integral defining the quantum field theory…

High Energy Physics - Theory · Physics 2007-05-23 A. Smailagic , E. Spallucci , T. Padmanabhan

We analyze the spectrum of the exactly duality and gauge invariant higher-derivative double field theory. While this theory is based on a chiral CFT and does not correspond to a standard string theory, our analysis illuminates a number of…

High Energy Physics - Theory · Physics 2016-09-20 Olaf Hohm , Usman Naseer , Barton Zwiebach

We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N=4 super-Yang-Mills theory, including the nonplanar contributions. The duality completely determines the…

High Energy Physics - Theory · Physics 2012-10-17 Z. Bern , J. J. M. Carrasco , L. J. Dixon , H. Johansson , R. Roiban

Massless type IIB superstring amplitudes are organized according to the number of external states and their ${\mathrm U}(1)$ charge under the R-symmetry of type IIB supergravity. In this work, we analyze the low-energy expansion of one-loop…

High Energy Physics - Theory · Physics 2026-02-24 Emiel Claasen , Mehregan Doroudiani

We show that there are two distinct classes of D6R4 type supersymmetry invariants in maximal supergravity. The second class includes a coupling in F2D4R4 that generalises to 1/8 BPS protected F2kD4R4 couplings. We work out the supersymmetry…

High Energy Physics - Theory · Physics 2015-09-02 Guillaume Bossard , Valentin Verschinin

In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha' expansion of the Type II amplitude reproduces the corresponding supergravity…

High Energy Physics - Theory · Physics 2022-07-26 Eric D'Hoker , Carlos R. Mafra , Boris Pioline , Oliver Schlotterer

We argue that two four-dimensional strongly coupled superconformal field theories, on the Higgs branch in certain large N limits, become respectively (2,0) theory and (1,1) little string theory in six dimensions. We identify the spectrum of…

High Energy Physics - Theory · Physics 2009-11-07 Nima Arkani-Hamed , Andrew G. Cohen , David B. Kaplan , Andreas Karch , Lubos Motl

We discuss duality between Type IIA string theory, eleven-dimensional supergravity, and heterotic string theory in four spacetime dimensions with $N=1$ supersymmetry. We find theories whose infrared limit is trivial at enhanced symmetry…

High Energy Physics - Theory · Physics 2009-07-09 J. A. Harvey , D. A. Lowe , A. Strominger

Duality symmetries in supergravity theories, together with their implications for string theory, are reviewed.

High Energy Physics - Theory · Physics 2025-04-15 Chris Hull

We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of the theory. This is the first known example of an ultraviolet…

High Energy Physics - Theory · Physics 2013-12-16 Zvi Bern , Scott Davies , Tristan Dennen , Alexander V. Smirnov , Vladimir A. Smirnov

We discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff

Concrete calculations have pointed out that amplitudes in perturbative gravity exhibit unanticipated cancellations taming their ultraviolet behaviour independently of supersymmetry. Similar ultraviolet behaviour of N=4 super-Yang-Mills and…

High Energy Physics - Theory · Physics 2008-11-26 N. E. J. Bjerrum-Bohr , Pierre Vanhove

S and U-duality dictate that graviton scattering amplitudes in IIB superstring theory be automorphic functions on the appropriate fundamental domain which describe the inequivalent vacua of (compactified) theories. A constrained functional…

High Energy Physics - Theory · Physics 2010-11-19 Gordon Chalmers

We study the phenomenological implications of effective supergravities based on string vacua with spontaneously broken N=1 supersymmetry by dilaton and moduli $F$-terms. We further require Minimal String Unification, namely that large…

High Energy Physics - Phenomenology · Physics 2014-11-17 Shaaban Khalil , Antonio Masiero , Francesco Vissani

We consider the perturbative contributions to the R^4, D^4 R^4 and D^6 R^4 interactions in toroidally compactified type II string theory. These BPS interactions do not receive perturbative contributions beyond genus three. We derive Poisson…

High Energy Physics - Theory · Physics 2016-01-27 Anirban Basu

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

High Energy Physics - Theory · Physics 2016-09-06 H. J. Boonstra , M. de Roo

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 investigate the space of consistent tree-level extensions of the maximal supergravities in ten dimensions. We parametrize theory space by the first few EFT coefficients and by the on-shell coupling of the lightest massive state, and…

High Energy Physics - Theory · Physics 2025-03-07 Jan Albert , Waltraut Knop , Leonardo Rastelli

We consider the finite part of the leading local interactions in the low energy expansion of the four graviton amplitude from the ladder skeleton diagrams in maximal supergravity on T^2, at three and four loops. At three loops, we express…

High Energy Physics - Theory · Physics 2015-09-30 Anirban Basu