Einstein Supergravity and New Twistor String Theories

Abstract

A family of new twistor string theories is constructed and shown to be free from world-sheet anomalies. The spectra in space-time are calculated and shown to give Einstein supergravities with second order field equations instead of the higher derivative conformal supergravities that arose from earlier twistor strings. The theories include one with the spectrum of N=8 supergravity, another with the spectrum of N=4 supergravity coupled to N=4 super-Yang-Mills, and a family with $N\ge 0$ supersymmetries with the spectra of self-dual supergravity coupled to self-dual super-Yang-Mills. The non-supersymmetric string with N=0 gives self-dual gravity coupled to self-dual Yang-Mills and a scalar. A three-graviton amplitude is calculated for the N=8 and N=4 theories and shown to give a result consistent with the cubic interaction of Einstein supergravity.

LaTeX, 69 pages, no figures; v2: minor corrections made, footnotes and references added

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• Twistor Actions for Self-Dual Supergravities
• Einstein supergravity amplitudes from twistor-string theory
• Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• New Twistor String Theories revisited
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
• Conformal higher-spin symmetries in twistor string theory
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Purely twistorial string with canonical twistor field quantization
• String theory in twistor space and minimal tension holography