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Keywords
(7)
Extended Supersymmetry
Path Integral
Recursion Relation
supersymmetric gauge theory
Topological String
Twistor Space
supersymmetric yang mills
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A direct proof of BCFW recursion for twistorstrings
A direct proof of BCFW recursion for twistorstrings,10.1007/JHEP01(2011)072,Journal of High Energy Physics,David Skinner
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A direct proof of BCFW recursion for twistorstrings
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Citations: 4
)
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David Skinner
This paper gives a direct proof that the leading trace part of the genus zero twistorstring
path integral
obeys the BCFW recursion relation. This is the first complete proof that the twistorstring correctly computes all tree amplitudes in maximally supersymmetric YangMills theory. The recursion has a beautiful geometric interpretation in
twistor space
that closely reects the structure of BCFW recursion in momentum space, both on the one hand as a relation purely among tree amplitudes with shifted external momenta, and on the other as a relation between tree amplitudes and leading singularities of higher loop amplitudes. The proof works purely at the level of the string
path integral
and is intimately related to the recursive structure of boundary divisors in the moduli space of stable maps to .
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 122, 2011
DOI:
10.1007/JHEP01(2011)072
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Citation Context
(1)
...This can perhaps be made more precise starting from the tree level results in [
50
]...
Rutger H. Boels
,
et al.
On BCFW shifts of integrands and integrals
References
(17)
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Citations: 358
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Edward Witten
Journal:
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Treelevel S matrix of YangMills theory
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Citations: 51
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Radu Roiban
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Journal:
Physical Review D  PHYS REV D
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Gluon tree amplitudes in open twistor string theory
(
Citations: 9
)
Louise Dolan
,
Peter Goddard
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 12, no. 12, pp. 032032, 2009
General split helicity gluon tree amplitudes in open twistor string theory
(
Citations: 3
)
Louise Dolan
,
Peter Goddard
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 5, pp. 127, 2010
Twistor transform of all tree amplitudes in N = 4 SYM theory
(
Citations: 15
)
G. P. Korchemsky
,
E. Sokatchev
Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 829, no. 3, pp. 478522, 2010
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Citations
(4)
The allloop integrand for scattering amplitudes in planar SYM
(
Citations: 25
)
Nima ArkaniHamed
,
Jacob L. Bourjaily
,
Freddy Cachazo
,
Simon CaronHuot
,
Jaroslav Trnka
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 1, pp. 146, 2011
On BCFW shifts of integrands and integrals
(
Citations: 7
)
Rutger H. Boels
,
Theoretische Physik
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 11, pp. 143, 2010
Efficient TreeAmplitudes in N=4: Automatic BCFW Recursion in Mathematica
(
Citations: 1
)
Jacob L. Bourjaily
Published in 2010.
Yangian in the twistor string
John Corn
,
Thomas Creutzig
,
Louise Dolan
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 10, pp. 128, 2010