Equivalence of two-loop superstring amplitudes in the pure spinor and RNS formalisms - INSPIRE

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Equivalence of two-loop superstring amplitudes in the pure spinor and RNS formalisms

Nathan Berkovits
(
- Sao Paulo, IFT
)
,
Carlos R. Mafra
(
- Sao Paulo, IFT
)

Sep, 2005

9 pages

Published in:

Phys.Rev.Lett. 96 (2006) 011602

e-Print:

hep-th/0509234 [hep-th]

DOI:

10.1103/PhysRevLett.96.011602

Report number:

IFT-P-034-2005

View in:

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Abstract:

The pure spinor formalism for the superstring has recently been used to compute massless four-point two-loop amplitudes in a manifestly super-Poincare covariant manner. In this paper, we show that when all four external states are Neveu-Schwarz, the two-loop amplitude coincides with the RNS result.

Note:

9 pages harvmac tex, added introductory paragraph Report-no: IFT-P.034/2005

11.25.Db
superstrings
string model
supersymmetry
scattering amplitude: higher-order
higher-order: 2
invariance: Poincare
superstring

References(22)

Figures(0)

Dual Theory for Free Fermions

Pierre Ramond
(
- Fermilab
)

- Phys.Rev.D 3 (1971) 2415-2418
•
DOI:
- 10.1103/PhysRevD.3.2415

Factorizable dual model of pions

A. Neveu
(
- Princeton U.
)
,
J.H. Schwarz
(
- Princeton U.
)

- Nucl.Phys.B 31 (1971) 86-112
•
DOI:
- 10.1016/0550-3213(71)90448-2

Covariant Description of Superstrings

- Phys.Lett.B 136 (1984) 367-370,
•
DOI:
- 10.1016/0370-2693(84)92021-5

Super Poincare covariant quantization of the superstring

Nathan Berkovits
(
- Sao Paulo, IFT
)

- JHEP 04 (2000) 018
•
e-Print:
- hep-th/0001035
•
DOI:
- 10.1088/1126-6708/2000/04/018

Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring

Nathan Berkovits
(
- Sao Paulo, IFT
)

- JHEP 09 (2004) 047
•
e-Print:
- hep-th/0406055
•
DOI:
- 10.1088/1126-6708/2004/09/047

Super-Poincare covariant two-loop superstring amplitudes

Nathan Berkovits
(
- Sao Paulo, IFT
)

- JHEP 01 (2006) 005
•
e-Print:
- hep-th/0503197
•
DOI:
- 10.1088/1126-6708/2006/01/005

Consistency of superPoincare covariant superstring tree amplitudes

- JHEP 07 (2000) 015
•
e-Print:
- hep-th/0004171
•
DOI:
- 10.1088/1126-6708/2000/07/015

Covariant one-loop amplitudes in D=11

Lilia Anguelova
(
- Michigan U., MCTP
)
,
Pietro Antonio Grassi
(
- SUNY, Stony Brook and
- Piemonte Orientale U., Alessandria
)
,
Pierre Vanhove
(
- Saclay, SPhT
)

- Nucl.Phys.B 702 (2004) 269-306
•
e-Print:
- hep-th/0408171
•
DOI:
- 10.1016/j.nuclphysb.2004.09.024

Two loop superstrings. 1. Main formulas

Eric D'Hoker
(
- UCLA and
- IPAM, UCLA
)
,
D.H. Phong
(
- Columbia U., Dept. Math.
)

- Phys.Lett.B 529 (2002) 241-255
•
e-Print:
- hep-th/0110247
•
DOI:
- 10.1016/S0370-2693(02)01255-8

Two loop superstrings. 2. The Chiral measure on moduli space

Eric D'Hoker
(
- UCLA and
- IPAM, UCLA
)
,
D.H. Phong
(
- Columbia U., Dept. Math.
)

- Nucl.Phys.B 636 (2002) 3-60
•
e-Print:
- hep-th/0110283
•
DOI:
- 10.1016/S0550-3213(02)00431-5

Two loop superstrings. 3. Slice independence and absence of ambiguities

Eric D'Hoker
(
- UCLA and
- IPAM, UCLA
)
,
D.H. Phong
(
- Columbia U., Dept. Math.
)

- Nucl.Phys.B 636 (2002) 61-79
•
e-Print:
- hep-th/0111016
•
DOI:
- 10.1016/S0550-3213(02)00432-7

Two loop superstrings 4: The Cosmological constant and modular forms

Eric D'Hoker
(
- UCLA
)
,
D.H. Phong
(
- Columbia U.
)

- Nucl.Phys.B 639 (2002) 129-181
•
e-Print:
- hep-th/0111040
•
DOI:
- 10.1016/S0550-3213(02)00516-3

Two-loop superstrings. V. Gauge slice independence of the N-point function

Eric D'Hoker
(
- UCLA
)
,
D.H. Phong
(
- Columbia U., Dept. Math.
)

- Nucl.Phys.B 715 (2005) 91-119
•
e-Print:
- hep-th/0501196
•
DOI:
- 10.1016/j.nuclphysb.2005.02.042

Two-loop superstrings VI: Non-renormalization theorems and the 4-point function

Eric D'Hoker
(
- UCLA
)
,
D.H. Phong
(
- Columbia U., Dept. Math.
)

- Nucl.Phys.B 715 (2005) 3-90
•
e-Print:
- hep-th/0501197
•
DOI:
- 10.1016/j.nuclphysb.2005.02.043

Two Loop Computation of the Four Particle Amplitude in Heterotic String Theory

Roberto Jengo
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Chuan-Jie Zhu
(
- SISSA, Trieste
)

- Phys.Lett.B 212 (1988) 313-319
•
DOI:
- 10.1016/0370-2693(88)91322-6

Explicit modular invariant two loop superstring amplitude relevant for R**4

Roberto Iengo
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

- JHEP 06 (1999) 011
•
e-Print:
- hep-th/9905050
•
DOI:
- 10.1088/1126-6708/1999/06/011

Computing the R**4 term at two superstring loops

Roberto Iengo
(
- INFN, Trieste and
- SISSA, Trieste
)

- JHEP 02 (2002) 035
•
e-Print:
- hep-th/0202058
•
DOI:
- 10.1088/1126-6708/2002/02/035

Two loop superstrings in hyperelliptic language 1: The Main results

Zhu-Jun Zheng
(
- Henan U. and
- Beijing, Inst. Theor. Phys.
)
,
Jun-Bao Wu
(
- Peking U.
)
,
Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

- Phys.Lett.B 559 (2003) 89-98
•
e-Print:
- hep-th/0212191
•
DOI:
- 10.1016/S0370-2693(03)00310-1

Two loop superstrings in hyperelliptic language 2.: The Vanishing of the cosmological constant and the nonrenormalization theorem

Zhu-Jun Zheng
(
- Henan U. and
- Beijing, Inst. Theor. Phys.
)
,
Jun-Bao Wu
(
- Peking U.
)
,
Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

- Nucl.Phys.B 663 (2003) 79-94
•
e-Print:
- hep-th/0212198
•
DOI:
- 10.1016/S0550-3213(03)00380-8

Two loop superstrings in hyperelliptic language 3: The Four particle amplitude

Zhu-Jun Zheng
(
- Henan U. and
- Beijing, Inst. Theor. Phys.
)
,
Jun-Bao Wu
(
- Peking U.
)
,
Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

- Nucl.Phys.B 663 (2003) 95-122
•
e-Print:
- hep-th/0212219
•
DOI:
- 10.1016/S0550-3213(03)00381-X

Comments on two loop four particle amplitude in superstring theory

Jun-Bao Wu
(
- Peking U.
)
,
Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

- JHEP 05 (2003) 056
•
e-Print:
- hep-th/0303152
•
DOI:
- 10.1088/1126-6708/2003/05/056

GAMMA: A Mathematica package for performing gamma matrix algebra and Fierz transformations in arbitrary dimensions

Ulf Gran
(
- Chalmers U. Tech. and
- Goteborg, ITP
)

e-Print:
- hep-th/0105086