Conformal Supergravity in Twistor-String Theory

By N. Berkovits, E. Witten. 2004

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Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and fields of conformal supergravity. We use the twistor-string theory to compute some tree level scattering amplitudes with supergravitons. Since the supergravitons interact with the same coupling constant as the Yang-Mills fields, conformal supergravity states will contribute to loop amplitudes of Yang-Mills gluons in these theories. Those loop amplitudes will therefore not coincide with the loop amplitudes of pure super Yang-Mills theory.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/565e9256c2bbe97ec63c61c0124fed9ef410b214

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Citations in the corpus

MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos (2004, background): “In two previous works [12, 13] (for recent works, see [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]), by following the new approach of [3], we have computed the generic gluon googly amplitudes and discussed briefly how the CSW approach can be extended to theories with fermions”
Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension (2013, methodology): “Here, following the approach we used in [2], to establish the complete equivalence of gluon tree amplitudes in open twistor string theory [3] to the corresponding amplitudes in N = 4 super Yang-Mills theory, we prove these CHY formulae using the BCFW relations [4], by first showing that taking Ψ̂N (”
Unification of residues and Grassmannian dualities (2009, background): “The resulting object can be easily recognized as the connected prescription [23] for Witten’s twistor string theory [24] (see also [25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38], for review [39]); indeed this discussion can be thought of as a physical motivation for and derivation of this ”
Supersymmetric gauge theories in twistor space (2006, background): “Such terms would not be present in connected SYM tree amplitudes, and in [6] they were interpreted as mixing in conformal supergravity, indicating that the D1 instantons prevent the open and closed string sectors from decoupling.”
MHV rules for Higgs plus multi-gluon amplitudes (2004, background): “Although the topological string appears to mix gauge theory with conformal supergravity at the loop level [10], the MHV rules nevertheless work at the one-loop level in supersymmetric Yang-Mills theories (SYM).”
Twistor space structure of one-loop amplitudes in gauge theory (2004, background): “There may be an important difference between pure super Yang-Mills theory (which we study here), and super YangMills theory coupled to conformal supergravity, which [5] is described by currently known forms of twistor-string theory.”
Benign vs. malicious ghosts in higher-derivative theories (2004, background): “One can add that conformal supergravity pops up as an effective action for the twistor–string theory, which attracted recently a considerable interest [ 4 ].”
One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices (2004, background): “Indeed, in the presently known twistor string theories, conformal supergravity does not decouple from the gauge theory, which implies that also supergravity fields can propagate in loops and the twistor/gauge theory correspondence is spoiled at the loop level [ 19 ].”
Non-MHV Tree Amplitudes in Gauge Theory (2004, background): “The results of [2, 1] have been tested and further developed in gauge theory in [3, 4, 5, 6, 7], and in string theory and supergravity in [8, 9, 10, 11, 12, 13, 14, 15, 16].”
Ambitwistor strings and the scattering equations (2013, background): “Witten’s original twistor string (with an alternative formulation by Berkovits [16] and a heterotic formulation in [17]) was discovered to be equivalent to a certain unphysical non-minimal version of conformal supergravity [18] coupled to N = 4 Yang-Mills.”
Non-supersymmetric loop amplitudes and MHV vertices (2004, background): “The prognosis at one-loop was initially poor, however, as general arguments indicated that it would be impossible to ignore conformal supergravity fields propagating in the loops [4].”
Topological M-theory as unification of form theories of gravity (2004, background): “The necessity of the extra field b was also recently noted in [40].”