Factorization and unitarity in superstring theory

The overall coefficient of the two-loop 4-particle amplitude in superstring theory is determined by making use of the factorization and unitarity. To accomplish this we computed in detail all the relevant tree and one-loop amplitudes involved and determined their overall coefficients in a consistent way.

string model
supersymmetry
scattering amplitude: factorization
perturbation theory: higher-order
operator: vertex
unitarity
analytic properties

References(33)

Figures(0)

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

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 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

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 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

Lectures on two loop superstrings

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

- Conf.Proc.C 0208124 (2002) 85-123,
•
e-Print:
- hep-th/0211111

The Geometry of String Perturbation Theory

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

- Rev.Mod.Phys. 60 (1988) 917
•
DOI:
- 10.1103/RevModPhys.60.917

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

Asyzygies, modular forms, and the superstring measure. I.

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

- Nucl.Phys.B 710 (2005) 58-82
•
e-Print:
- hep-th/0411159
•
DOI:
- 10.1016/j.nuclphysb.2004.12.021

Asyzygies, modular forms, and the superstring measure II

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

- Nucl.Phys.B 710 (2005) 83-116
•
e-Print:
- hep-th/0411182
•
DOI:
- 10.1016/j.nuclphysb.2004.12.020

Covariant multiloop superstring amplitudes

Nathan Berkovits
(
- Sao Paulo, IFT
)

- Comptes Rendus Physique 6 (2005) 185-197
•
e-Print:
- hep-th/0410079
•
DOI:
- 10.1016/j.crhy.2004.12.009

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

Superstring Modifications of Einstein's Equations

David J. Gross
(
- Princeton U.
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 277 (1986) 1,
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 238-247. (NUCL. PHYS. B277 (1986) 1-10) AND PREPRINT - GROSS, D.J. (86,REC.MAR.) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(86)90429-3