Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes

Abstract

We report on progress made in the construction of higher-derivative superinvariants for type-II theories in ten dimensions. The string amplitude calculations required for this analysis exhibit interesting features which have received little attention in the literature so far. We discuss two examples from a forthcoming publication: the construction of the (H_{NS})^2 R^3 terms and the fermionic completion of the εεR^4 terms. We show that a correct answer requires very careful treatment of the chiral splitting theorem, implies unexpected new relations between fermionic correlators, and most interestingly, necessitates the use of worldsheet gravitino zero modes in the string vertex operators. In addition, we discuss the relation of our results to the predictions of the linear scalar superfield of the type-IIB theory and find (and explain) an interesting discrepancy.

21 pages; v2: relation of string amplitudes to the effective action clarified, discussion of the superfield expanded, main conclusions unchanged; v3: minor typographical corrections; v4: sign of "eps eps R^4" changed to conform with natural conventions

References in corpus (1)

• Two-Loop Superstrings I, Main Formulas

Cited by in corpus (36)

• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• String loop corrections to the universal hypermultiplet
• R^4, purified
• Higher-derivative couplings in string theory: dualities and the B-field
• Two-Loop Superstrings V: Gauge Slice Independence of the N-Point Function
• Lectures on Two-Loop Superstrings
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• On a supersymmetric completion of the R^4 term in IIB supergravity
• D3-branes on the Coulomb branch and instantons
• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• On alpha'-corrections to D-brane solutions
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Fuzzball geometries and higher derivative corrections for extremal holes
• On the supersymmetric completion of the $R^4$ term in M-theory
• Superfield integrals in high dimensions
• On a supersymmetric completion of the $R^4$ term in type IIB supergravity
• The Ramond-Ramond sector of string theory beyond leading order
• Higher-derivative gauge field terms in the M-theory action
• The One-Loop H^2R^3 and H^2(DH)^2R Terms in the Effective Action
• R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
• N=2 higher-derivative couplings from strings
• 11D supergravity at $\mathcal{O}(l^3)$
• Towards complete string effective actions beyond leading order
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• alpha'-corrections and heterotic black holes
• S-duality constraint on higher-derivative couplings
• Type II Small Stringy Black Holes, Probe Branes and Higher Derivative Interactions
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• Higher Order Invariants in Supergravity
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles
• Domain Walls in AdS-Einstein-scalar Gravity