A relation between tree amplitudes of closed and open strings

Kawai, Hiroyuki; Lewellen, D. C.; Tye, S.‐H. Henry

doi:10.1016/0550-3213(86)90362-7

Cited by 1,240 publications

(2,005 citation statements)

References 14 publications

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“…As is well known, open string amplitudes are directly related to closed string amplitudes through the KLT relations [43]. Several results in this article therefore should have a direct interpretation in the closed string.…”

Section: Field Theory Structures In String Theory Amplitudesmentioning

confidence: 99%

MHV, CSW and BCFW: field theory structures in string theory amplitudes

Boels

Larsen

Obers³

et al. 2008

J. High Energy Phys.

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Motivated by recent progress in calculating field theory amplitudes, we study applications of the basic ideas in these developments to the calculation of amplitudes in string theory. We consider in particular both non-Abelian and Abelian open superstring disk amplitudes in a flat space background, focusing mainly on the four-dimensional case. The basic field theory ideas under consideration split into three separate categories. In the first, we argue that the calculation of α ′ -corrections to MHV open string disk amplitudes reduces to the determination of certain classes of polynomials. This line of reasoning is then used to determine the α ′3 -correction to the MHV amplitude for all multiplicities. A second line of attack concerns the existence of an analog of CSW rules derived from the Abelian Dirac-Born-Infeld action in four dimensions. We show explicitly that the CSW-like perturbation series of this action is surprisingly trivial: only helicity conserving amplitudes are non-zero. Last but not least, we initiate the study of BCFW on-shell recursion relations in string theory. These should appear very naturally as the UV properties of the string theory are excellent. We show that all open four-point string amplitudes in a flat background at the disk level obey BCFW recursion relations. Based on the naturalness of the proof and some explicit results for the five-point gluon amplitude, it is expected that this pattern persists for all higher point amplitudes and for the closed string.

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Section: Field Theory Structures In String Theory Amplitudesmentioning

confidence: 99%

MHV, CSW and BCFW: field theory structures in string theory amplitudes

Boels

Larsen

Obers³

et al. 2008

J. High Energy Phys.

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“…We continue in this way until the we have an amplitude which is a product of MHV amplitudes with propagators, 27) where i/P 2 α i ,(i−1) denotes the propagator we factorised on in the i-th step. As before we gather together all terms with the same pole structure and combine them into a single diagram.…”

Section: General Casementioning

confidence: 99%

MHV-vertices for gravity amplitudes

Bjerrum-Bohr¹,

Dunbar²,

Ita³

et al. 2006

J. High Energy Phys.

140

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“…For completeness, in this appendix we write the field theory limit of the KLT relations [42] for the case of four, five and six points: In these formulae, M (A) denotes a tree-level gravity (Yang-Mills colour-ordered) amplitude, s ij := (p i + p j ) 2 , and P(2, 3, 4) stands for permutations of (2,3,4). The relation for a generic number of particles can be found in [43].…”

Section: Appendix A: Klt Relationsmentioning

confidence: 99%

“…In more general amplitudes one can (at least in principle) use the (field theory limit of the) KLT relations [42], which connect tree-level gravity amplitudes to tree-level amplitudes in Yang-Mills, to estimate the large-z behaviour of the scattering amplitude. 3 As an example, we have considered the next-to-MHV gravity amplitude M(1 − , 2 − , 3 − , 4 + , 5 + , 6 + ), and performed the shifts as in (2.4), with k = 1 and l = 2.…”

Section: The Recursion Relation In Gravitymentioning

confidence: 99%

A recursion relation for gravity amplitudes

et al. 2005

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Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes -a rather generic feature of field theory. Motivated by this, we propose a new recursion relation for scattering amplitudes of gravitons at tree level. Using this, we derive a new general formula for the MHV tree-level scattering amplitude for n gravitons. Finally, we comment on the existence of recursion relations in general field theories.

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A relation between tree amplitudes of closed and open strings

Cited by 1,240 publications

References 14 publications

MHV, CSW and BCFW: field theory structures in string theory amplitudes

MHV, CSW and BCFW: field theory structures in string theory amplitudes

MHV-vertices for gravity amplitudes

A recursion relation for gravity amplitudes

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