메뉴 건너뛰기




Volumn 2010, Issue 3, 2010, Pages

Twistor-strings, Grassmannians and leading singularities

Author keywords

Duality in gauge field theories; Supersymmetric gauge theory

Indexed keywords


EID: 77954949459     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)070     Document Type: Article
Times cited : (59)

References (60)
  • 1
    • 11244344133 scopus 로고    scopus 로고
    • Perturbative gauge theory as a string theory in twistor space
    • [hep-th/0312171] [SPIRES]
    • E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171] [SPIRES].
    • (2004) Commun. Math. Phys. , vol.252 , pp. 189
    • Witten, E.1
  • 2
    • 17544366149 scopus 로고    scopus 로고
    • New recursion relations for tree amplitudes of gluons
    • [hep-th/0412308] [SPIRES]
    • R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499 [hep-th/0412308] [SPIRES].
    • (2005) Nucl. Phys. B , vol.715 , pp. 499
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 3
    • 27144442779 scopus 로고    scopus 로고
    • Direct proof of tree-level recursion relation in Yang-Mills theory
    • [hep-th/0501052] [SPIRES]
    • R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. 94 (2005) 181602 [hep-th/0501052] [SPIRES].
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 181602
    • Britto, R.1    Cachazo, F.2    Feng, B.3    Witten, E.4
  • 4
    • 72149096509 scopus 로고    scopus 로고
    • Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory
    • [arXiv:0807.1095] [SPIRES]
    • J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [arXiv:0807.1095] [SPIRES].
    • (2010) Nucl. Phys. B , vol.828 , pp. 317
    • Drummond, J.M.1    Henn, J.2    Korchemsky, G.P.3    Sokatchev, E.4
  • 5
    • 67649550370 scopus 로고    scopus 로고
    • All tree-level amplitudes in N = 4 SYM
    • [arXiv:0808.2475] [SPIRES]
    • J.M. Drummond and J.M. Henn, All tree-level amplitudes in N = 4 SYM, JHEP 04 (2009) 018 [arXiv:0808.2475] [SPIRES].
    • (2009) JHEP , vol.4 , pp. 018
    • Drummond, J.M.1    Henn, J.M.2
  • 6
    • 74449089284 scopus 로고    scopus 로고
    • Twistor transform of all tree amplitudes in N = 4 SYM theory
    • [arXiv:0907.4107] [SPIRES]
    • G.P. Korchemsky and E. Sokatchev, Twistor transform of all tree amplitudes in N = 4 SYM theory, Nucl. Phys. B 829 (2010) 478 [arXiv:0907.4107] [SPIRES].
    • (2010) Nucl. Phys. B , vol.829 , pp. 478
    • Korchemsky, G.P.1    Sokatchev, E.2
  • 11
    • 24344485193 scopus 로고    scopus 로고
    • Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills
    • [hep-th/0412103] [SPIRES]
    • R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 [hep-th/0412103] [SPIRES].
    • (2005) Nucl. Phys. B , vol.725 , pp. 275
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 12
    • 33645503640 scopus 로고    scopus 로고
    • Two-loop amplitudes of gluons and octa-cuts in N = 4 super Yang-Mills
    • [hep-th/0506126] [SPIRES]
    • E.I. Buchbinder and F. Cachazo, Two-loop amplitudes of gluons and octa-cuts in N = 4 super Yang-Mills, JHEP 11 (2005) 036 [hep-th/0506126] [SPIRES].
    • (2005) JHEP , vol.11 , pp. 036
    • Buchbinder, E.I.1    Cachazo, F.2
  • 15
    • 57649203088 scopus 로고    scopus 로고
    • Leading singularities of the two-loop six-particle MHV amplitude
    • [arXiv:0805.4832] [SPIRES]
    • F. Cachazo, M. Spradlin and A. Volovich, Leading singularities of the two-loop six-particle MHV amplitude, Phys. Rev. D 78 (2008) 105022 [arXiv:0805.4832] [SPIRES].
    • (2008) Phys. Rev. D , vol.78 , pp. 105022
    • Cachazo, F.1    Spradlin, M.2    Volovich, A.3
  • 16
    • 33749158446 scopus 로고    scopus 로고
    • All next-to-maximally helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory
    • [hep-th/0412210] [SPIRES]
    • Z. Bern, L.J. Dixon and D.A. Kosower, All next-to-maximally helicity-violating one-loop gluon amplitudes in N = 4 super-Yang-Mills theory, Phys. Rev. D 72 (2005) 045014 [hep-th/0412210] [SPIRES].
    • (2005) Phys. Rev. D , vol.72 , pp. 045014
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 18
    • 49549170814 scopus 로고
    • Twistor theory: An approach to the quantization of fields and space-time
    • [SPIRES]
    • R. Penrose and M.A.H. MacCallum, Twistor theory: an approach to the quantization of fields and space-time, Phys. Rept. 6 (1972) 241 [SPIRES].
    • (1972) Phys. Rept. , vol.6 , pp. 241
    • Penrose, R.1    MacCallum, M.A.H.2
  • 19
    • 0041438181 scopus 로고    scopus 로고
    • Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills
    • [hep-ph/9702424] [SPIRES]
    • Z. Bern, J.S. Rozowsky and B. Yan, Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills, Phys. Lett. B 401 (1997) 273 [hep-ph/9702424] [SPIRES].
    • (1997) Phys. Lett. B , vol.401 , pp. 273
    • Bern, Z.1    Rozowsky, J.S.2    Yan, B.3
  • 20
    • 33750598337 scopus 로고    scopus 로고
    • Two-loop iteration of five-point N = 4 super-Yang-Mills amplitudes
    • [hep-th/0604074] [SPIRES]
    • Z. Bern, M. Czakon, D.A. Kosower, R. Roiban and V.A. Smirnov, Two-loop iteration of five-point N = 4 super-Yang-Mills amplitudes, Phys. Rev. Lett. 97 (2006) 181601 [hep-th/0604074] [SPIRES].
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 181601
    • Bern, Z.1    Czakon, M.2    Kosower, D.A.3    Roiban, R.4    Smirnov, V.A.5
  • 21
    • 29744435695 scopus 로고    scopus 로고
    • Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
    • [hep-th/0505205] [SPIRES]
    • Z. Bern, L.J. Dixon and V.A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Phys. Rev. D 72 (2005) 085001 [hep-th/0505205] [SPIRES].
    • (2005) Phys. Rev. D , vol.72 , pp. 085001
    • Bern, Z.1    Dixon, L.J.2    Smirnov, V.A.3
  • 22
    • 34249282692 scopus 로고    scopus 로고
    • The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
    • [hep-th/0610248] [SPIRES]
    • Z. Bern, M. Czakon, L.J. Dixon, D.A. Kosower and V.A. Smirnov, The four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Phys. Rev. D 75 (2007) 085010 [hep-th/0610248] [SPIRES].
    • (2007) Phys. Rev. D , vol.75 , pp. 085010
    • Bern, Z.1    Czakon, M.2    Dixon, L.J.3    Kosower, D.A.4    Smirnov, V.A.5
  • 23
    • 37349078996 scopus 로고    scopus 로고
    • Maximally supersymmetric planar Yang-Mills amplitudes at five loops
    • [arXiv:0705.1864] [SPIRES]
    • Z. Bern, J.J.M. Carrasco, H. Johansson and D.A. Kosower, Maximally supersymmetric planar Yang-Mills amplitudes at five loops, Phys. Rev. D 76 (2007) 125020 [arXiv:0705.1864] [SPIRES].
    • (2007) Phys. Rev. D , vol.76 , pp. 125020
    • Bern, Z.1    Carrasco, J.J.M.2    Johansson, H.3    Kosower, D.A.4
  • 25
    • 33846656077 scopus 로고    scopus 로고
    • On the factorisation of the connected prescription for Yang-Mills amplitudes
    • [hep-th/0612250] [SPIRES]
    • C. Vergu, On the factorisation of the connected prescription for Yang-Mills amplitudes, Phys. Rev. D 75 (2007) 025028 [hep-th/0612250] [SPIRES].
    • (2007) Phys. Rev. D , vol.75 , pp. 025028
    • Vergu, C.1
  • 26
    • 3442878674 scopus 로고    scopus 로고
    • An alternative string theory in twistor space for N = 4 super-Yang-Mills
    • [hep-th/0402045] [SPIRES]
    • N. Berkovits, An alternative string theory in twistor space for N = 4 super-Yang-Mills, Phys. Rev. Lett. 93 (2004) 011601 [hep-th/0402045] [SPIRES].
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 011601
    • Berkovits, N.1
  • 27
    • 39149138678 scopus 로고    scopus 로고
    • Heterotic twistor-string theory
    • [arXiv:0708.2276] [SPIRES]
    • L. Mason and D. Skinner, Heterotic twistor-string theory, Nucl. Phys. B 795 (2008) 105 [arXiv:0708.2276] [SPIRES].
    • (2008) Nucl. Phys. B , vol.795 , pp. 105
    • Mason, L.1    Skinner, D.2
  • 28
    • 23044453759 scopus 로고    scopus 로고
    • Conformal supergravity in twistor-string theory
    • [hep-th/0406051] [SPIRES]
    • N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory, JHEP 08 (2004) 009 [hep-th/0406051] [SPIRES].
    • (2004) JHEP , vol.8 , pp. 009
    • Berkovits, N.1    Witten, E.2
  • 29
    • 34547657500 scopus 로고    scopus 로고
    • Tree and loop amplitudes in open twistor string theory
    • [hep-th/0703054] [SPIRES]
    • L. Dolan and P. Goddard, Tree and loop amplitudes in open twistor string theory, JHEP 06 (2007) 005 [hep-th/0703054] [SPIRES].
    • (2007) JHEP , vol.6 , pp. 005
    • Dolan, L.1    Goddard, P.2
  • 30
    • 29744449912 scopus 로고    scopus 로고
    • Parity invariance for strings in twistor space
    • [hep-th/0403199] [SPIRES]
    • E. Witten, Parity invariance for strings in twistor space, Adv. Theor. Math. Phys. 8 (2004) 779 [hep-th/0403199] [SPIRES].
    • (2004) Adv. Theor. Math. Phys. , vol.8 , pp. 779
    • Witten, E.1
  • 32
    • 41649089947 scopus 로고    scopus 로고
    • Equivalence of twistor prescriptions for super Yang- Mills
    • [hep-th/0404085] [SPIRES]
    • S. Gukov, L. Motl and A. Neitzke, Equivalence of twistor prescriptions for super Yang- Mills, Adv. Theor. Math. Phys. 11 (2007) 199 [hep-th/0404085] [SPIRES].
    • (2007) Adv. Theor. Math. Phys. , vol.11 , pp. 199
    • Gukov, S.1    Motl, L.2    Neitzke, A.3
  • 33
    • 23044434458 scopus 로고    scopus 로고
    • MHV vertices and tree amplitudes in gauge theory
    • [hep-th/0403047] [SPIRES]
    • F. Cachazo, P. Svrček and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 09 (2004) 006 [hep-th/0403047] [SPIRES].
    • (2004) JHEP , vol.9 , pp. 006
    • Cachazo, F.1    Svrček, P.2    Witten, E.3
  • 34
    • 0001256006 scopus 로고
    • Conformal supergravity
    • [SPIRES]
    • E.S. Fradkin and A.A. Tseytlin, Conformal supergravity, Phys. Rept. 119 (1985) 233 [SPIRES].
    • (1985) Phys. Rept. , vol.119 , pp. 233
    • Fradkin, E.S.1    Tseytlin, A.A.2
  • 35
    • 70449719599 scopus 로고    scopus 로고
    • From twistor string theory to recursion relations
    • [arXiv:0909.0229] [SPIRES]
    • M. Spradlin and A. Volovich, From twistor string theory to recursion relations, Phys. Rev. D 80 (2009) 085022 [arXiv:0909.0229] [SPIRES].
    • (2009) Phys. Rev. D , vol.80 , pp. 085022
    • Spradlin, M.1    Volovich, A.2
  • 36
    • 76149104293 scopus 로고    scopus 로고
    • Gluon tree amplitudes in open twistor string theory
    • [arXiv:0909.0499] [SPIRES]
    • L. Dolan and P. Goddard, Gluon tree amplitudes in open twistor string theory, JHEP 12 (2009) 032 [arXiv:0909.0499] [SPIRES].
    • (2009) JHEP , vol.12 , pp. 032
    • Dolan, L.1    Goddard, P.2
  • 37
    • 0002961210 scopus 로고
    • Twistor quantization and curved space-time
    • [SPIRES]
    • R. Penrose, Twistor quantization and curved space-time, Int. J. Theor. Phys. 1 (1968) 61 [SPIRES].
    • (1968) Int. J. Theor. Phys. , vol.1 , pp. 61
    • Penrose, R.1
  • 40
    • 84968474535 scopus 로고
    • The ultra-hyperbolic differential equation with four independent variables
    • F. John, The ultra-hyperbolic differential equation with four independent variables, Duke Math. J. 4 (1938) 300.
    • (1938) Duke Math. J. , vol.4 , pp. 300
    • John, F.1
  • 41
    • 23044507302 scopus 로고    scopus 로고
    • A googly amplitude from the B-model in twistor space
    • [hep-th/0402016] [SPIRES]
    • R. Roiban, M. Spradlin and A. Volovich, A googly amplitude from the B-model in twistor space, JHEP 04 (2004) 012 [hep-th/0402016] [SPIRES].
    • (2004) JHEP , vol.4 , pp. 012
    • Roiban, R.1    Spradlin, M.2    Volovich, A.3
  • 42
    • 42749106284 scopus 로고    scopus 로고
    • On the tree-level S-matrix of Yang-Mills theory
    • [hep-th/0403190] [SPIRES]
    • R. Roiban, M. Spradlin and A. Volovich, On the tree-level S-matrix of Yang-Mills theory, Phys. Rev. D 70 (2004) 026009 [hep-th/0403190] [SPIRES].
    • (2004) Phys. Rev. D , vol.70 , pp. 026009
    • Roiban, R.1    Spradlin, M.2    Volovich, A.3
  • 43
    • 33947626637 scopus 로고    scopus 로고
    • Supersymmetric gauge theories in twistor space
    • [hep-th/0604040] [SPIRES]
    • R. Boels, L. Mason and D. Skinner, Supersymmetric gauge theories in twistor space, JHEP 02 (2007) 014 [hep-th/0604040] [SPIRES].
    • (2007) JHEP , vol.2 , pp. 014
    • Boels, R.1    Mason, L.2    Skinner, D.3
  • 44
    • 0001687557 scopus 로고    scopus 로고
    • The self-dual sector of QCD amplitudes
    • [hep-th/9606061] [SPIRES]
    • G. Chalmers and W. Siegel, The self-dual sector of QCD amplitudes, Phys. Rev. D 54 (1996) 7628 [hep-th/9606061] [SPIRES].
    • (1996) Phys. Rev. D , vol.54 , pp. 7628
    • Chalmers, G.1    Siegel, W.2
  • 45
    • 0010933357 scopus 로고
    • A current algebra for some gauge theory amplitudes
    • [SPIRES]
    • V.P. Nair, A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 (1988) 215 [SPIRES].
    • (1988) Phys. Lett. B , vol.214 , pp. 215
    • Nair, V.P.1
  • 46
    • 15044348351 scopus 로고    scopus 로고
    • Coplanarity in twistor space of N = 4 next-to-MHV one-loop amplitude coefficients
    • [hep-th/0411107] [SPIRES]
    • R. Britto, F. Cachazo and B. Feng, Coplanarity in twistor space of N = 4 next-to-MHV one-loop amplitude coefficients, Phys. Lett. B 611 (2005) 167 [hep-th/0411107] [SPIRES].
    • (2005) Phys. Lett. B , vol.611 , pp. 167
    • Britto, R.1    Cachazo, F.2    Feng, B.3
  • 47
    • 49749113761 scopus 로고    scopus 로고
    • An automated implementation of on-shell methods for one-loop amplitudes
    • [arXiv:0803.4180] [SPIRES]
    • C.F. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev. D 78 (2008) 036003 [arXiv:0803.4180] [SPIRES].
    • (2008) Phys. Rev. D , vol.78 , pp. 036003
    • Berger, C.F.1
  • 48
    • 57749207942 scopus 로고    scopus 로고
    • A note on dual superconformal symmetry of the N = 4 super Yang-Mills S-matrix
    • [arXiv:0807.4097] [SPIRES]
    • A. Brandhuber, P. Heslop and G. Travaglini, A note on dual superconformal symmetry of the N = 4 super Yang-Mills S-matrix, Phys. Rev. D 78 (2008) 125005 [arXiv:0807.4097] [SPIRES].
    • (2008) Phys. Rev. D , vol.78 , pp. 125005
    • Brandhuber, A.1    Heslop, P.2    Travaglini, G.3
  • 51
  • 53
    • 76149098454 scopus 로고    scopus 로고
    • The moduli space of curves and Gromov-Witten theory
    • K. Behrend and M. Manetti eds., Lecture Notes in Mathematics, Springer, [math.AG/0602347v2]
    • R. Vakil, The moduli space of curves and Gromov-Witten theory, in Enumerative Invariants in Algebraic Geometry and String Theory, K. Behrend and M. Manetti eds., Lecture Notes in Mathematics, Springer (2008) pg. 2008 [math.AG/0602347v2].
    • (2008) Enumerative Invariants in Algebraic Geometry and String Theory , pp. 2008
    • Vakil, R.1
  • 54
    • 0001842831 scopus 로고    scopus 로고
    • Notes on stable maps and quantum cohomology
    • [alg-geom/9608011]
    • W. Fulton and R. Pandharipande, Notes on stable maps and quantum cohomology, Proc. Sympos. Pure Math. 62 (1997) 45 [alg-geom/9608011].
    • (1997) Proc. Sympos. Pure Math. , vol.62 , pp. 45
    • Fulton, W.1    Pandharipande, R.2
  • 55
    • 84927721771 scopus 로고    scopus 로고
    • Twistor-space recursive formulation of gauge theory amplitudes
    • [hep-th/0406133] [SPIRES]
    • I. Bena, Z. Bern and D.A. Kosower, Twistor-space recursive formulation of gauge theory amplitudes, Phys. Rev. D 71 (2005) 045008 [hep-th/0406133] [SPIRES].
    • (2005) Phys. Rev. D , vol.71 , pp. 045008
    • Bena, I.1    Bern, Z.2    Kosower, D.A.3
  • 56
    • 70549088009 scopus 로고    scopus 로고
    • Dual superconformal invariance, momentum twistors and Grassmannians
    • [arXiv:0909.0250] [SPIRES]
    • L. Mason and D. Skinner, Dual superconformal invariance, momentum twistors and Grassmannians, JHEP 11 (2009) 045 [arXiv:0909.0250] [SPIRES].
    • (2009) JHEP , vol.11 , pp. 045
    • Mason, L.1    Skinner, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.