Sixteen-fermion and related terms in M-theory on T**2

Abstract

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 U(1)-violating interaction of sixteen complex spin-1/2 fermions of ten-dimensional type IIB theory. This term, together with the (curvature)**4 term, and many other terms of the same dimension are all explicitly related by supersymmetry.

14 Pages, Latex, no figures, Minor changes, version to appear in PLB

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Cited by in corpus (67)

• Large N Field Theories, String Theory and Gravity
• U-duality and M-Theory
• Supersymmetry Constraints on Type IIB Supergravity
• Duality and higher derivative terms in M theory
• Two loops in eleven dimensions
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Anomalous dimensions in N=4 SYM theory at order g^4
• Two-loop superstrings and S-duality
• Manifestly supersymmetric M-theory
• Multiparticle one-loop amplitudes and S-duality in closed superstring theory
• Interconnections between type II superstrings, M theory and N=4 supersymmetric Yang--Mills
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• On a supersymmetric completion of the R^4 term in IIB supergravity
• Eisenstein series and automorphic representations
• Type IIB $R^4{H}^{4g-4}$ Conjectures
• Yang-Mills Instantons in the Large-N Limit and the AdS/CFT Correspondence
• D-instanton partition functions
• Tree-level amplitudes from the pure spinor superstring
• M-theory and E10: Billiards, Branes, and Imaginary Roots
• Yang-Mills- and D-instantons
• On higher-order corrections in M theory
• $D^6{R}^4$ amplitudes in various dimensions
• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• Eisenstein Series in String Theory
• Maximal R-symmetry violating amplitudes in type IIB superstring theory
• Superfield integrals in high dimensions
• Higher Derivative Supergravities in Diverse Dimensions
• On the supersymmetric completion of the $R^4$ term in M-theory
• On a supersymmetric completion of the $R^4$ term in type IIB supergravity
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
• Aspects of higher curvature terms and U-duality
• The D^{10} R^4 term in type IIB string theory
• Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
• The two-loop superstring five-point amplitude and S-duality
• Eisenstein series for infinite-dimensional U-duality groups
• S-matrix elements from T-duality
• On S-duality of D${}_3$-brane S-matrix
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• U-Duality and the Compactified Gauss-Bonnet Term
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• S-duality of tree-level S-matrix elements in D${}_3$-brane effective action
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• The structure of the R^8 term in type IIB string theory
• Connections between M-theory and superstrings
• Arithmetic and Hyperbolic Structures in String Theory
• Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theories
• A Curious Truncation of N=4 Yang-Mills
• Tree-level S-matrix elements from S-duality
• S-duality invariant dilaton couplings at order ${\alpha }^{\prime 3}$
• S-duality of color-ordered amplitudes
• S-duality constraint on higher-derivative couplings
• Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality
• Yang-Mills instantons vs. type IIB D-instantons
• Pure spinor formulation of the superstring and its applications
• Effects of D-instantons in string amplitudes
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• D-instantons and Matrix Models
• Symmetries of non-maximal supergravities with higher-derivative corrections
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM
• Aspects of D-Instantons