Two loop computation in superstring theory

Zhu, Chuan-Jie

Two loop computation in superstring theory

Chuan-Jie Zhu
(
- Beijing, Inst. Theor. Phys.
)

Jan, 2003

30 pages

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hep-th/0301018 [hep-th]

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Abstract:

In this paper I review some old and new works on the computation of two-loop 4-particle amplitude in superstring theory. I also present the proof by Iengo, showing the vanishing of the term related to the two-loop correction to the

R^4

term. Finally I will present some recent works on two-loop computation in hyperelliptic language following the new gauging fixing method of D'Hoker and Phong.

talk: Hefei 2002/11/23
talk: Beijing 2002/08/22
string model
supersymmetry
scattering amplitude: higher-order
higher-order: 2
analytic properties

References(42)

Figures(0)

[1]

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

[2]

Multiloop Calculations in Covariant Superstring Theory

Erik P. Verlinde
(
- Utrecht U.
)
,
Herman L. Verlinde
(
- Utrecht U.
)

- Phys.Lett.B 192 (1987) 95-102
•
DOI:
- 10.1016/0370-2693(87)91148-8

[3]

Supersymmetrical Dual String Theory. 3. Loops and Renormalization

Michael B. Green
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)

- Nucl.Phys.B 198 (1982) 441-460,
- In *Schwarz, J.h. ( Ed.): Superstrings, Vol. 1*, 399-418. ( Nucl. Phys. B198 ( 1982) 441-460) and Caltech Pasadena - CALT-68-0873 (81,REC.JAN.82) 28p
•
DOI:
- 10.1016/0550-3213(82)90334-0

[4]

Superstring Theory

John H. Schwarz
(
- Caltech
)

- Phys.Rept. 89 (1982) 223-322,
- In *Schwarz, J.h. ( Ed.): Superstrings, Vol. 1*, 442-540. ( Phys. Rep. 89 ( 1982) 223-322) and Caltech Pasadena - CALT-68-0911 (REC.JUN.82) 170p
•
DOI:
- 10.1016/0370-1573(82)90087-4

[5]

Superstring Theory, vols. I and II (Cambridge University Press, 1986)

M.B. Green
,
J.H. Schwarz
,
E. Witten

[6]

String Theory, vols. I and II (Cambridge University Press, 1998)

J. Polchinski

[7]

The Conformal Field Theory of Orbifolds

Lance J. Dixon
(
- Princeton U.
)
,
Daniel Friedan
(
- Chicago U., EFI and
- Chicago U.
)
,
Emil J. Martinec
(
- Princeton U.
)
,
Stephen H. Shenker
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 282 (1987) 13-73
•
DOI:
- 10.1016/0550-3213(87)90676-6

[8]

Conformal Scalar Field on the Hyperelliptic Curve and Critical Ashkin-teller Multipoint Correlation Functions

A.B. Zamolodchikov
(
- Moscow, Nonlinear Phys. Lab
)

- Nucl.Phys.B 285 (1987) 481-503,
- Also in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 777-799
•
DOI:
- 10.1016/0550-3213(87)90350-6

[9]

Conformal Field Theories with Additional Z(N) Symmetry

M. Bershadsky
(
- Landau Inst.
)
,
A. Radul
(
- Moscow State U.
)

- Int.J.Mod.Phys.A 2 (1987) 165-178
•
DOI:
- 10.1142/S0217751X87000053

[9]

$G$ Loop Amplitudes in Bosonic String Theory in Terms of Branch Points

M. Bershadsky
(
- Moscow, ITEP
)
,
A. Radul
(
- Moscow State U.
)

- Phys.Lett.B 193 (1987) 213-218,
- Phys. Lett. B193 ( 1987) 213-218
•
DOI:
- 10.1016/0370-2693(87)91224-X

[10]

Analytic Fields on Riemann Surfaces. 2

V.G. Knizhnik
(
- Moscow, ITEP
)

- Commun.Math.Phys. 112 (1987) 567-590
•
DOI:
- 10.1007/BF01225373

[11]

CONFORMAL FIELDS ON COMPLEX CURVES

E. Gava
(
- Ecole Normale Superieure
)

[12]

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

[13]

Modular Invariance and the Two Loop Vanishing of the Cosmological Constant

E. Gava
(
- Ecole Normale Superieure
)
,
R. Jengo
(
- ICTP, Trieste and
- SISSA, Trieste and
- INFN, Trieste
)
,
G. Sotkov
(
- SISSA, Trieste
)

- Phys.Lett.B 207 (1988) 283
•
DOI:
- 10.1016/0370-2693(88)90576-X

[14]

Notes on Nonrenormalization Theorem in Superstring Theories

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

- Phys.Lett.B 212 (1988) 309-312
•
DOI:
- 10.1016/0370-2693(88)91321-4

[15]

Two Loop Computations in Superstring Theories

Chuan-Jie Zhu
(
- SISSA, Trieste
)

- Int.J.Mod.Phys.A 4 (1989) 3877
•
DOI:
- 10.1142/S0217751X89001588

[16]

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

[17]

Effects of D instantons

Michael B. Green
(
- Cambridge U.
)
,
Michael Gutperle
(
- Cambridge U.
)

- Nucl.Phys.B 498 (1997) 195-227
•
e-Print:
- hep-th/9701093
•
DOI:
- 10.1016/S0550-3213(97)00269-1

[18]

Supersymmetry constraints on type IIB supergravity

- Phys.Rev.D 59 (1999) 046006
•
e-Print:
- hep-th/9808061
•
DOI:
- 10.1103/PhysRevD.59.046006

[19]

Atomic parity violation in cesium and implications for new physics

Aldo Deandrea
(
- Marseille, CPT
)

- Phys.Lett.B 409 (1997) 277-282
•
e-Print:
- hep-ph/9705435
•
DOI:
- 10.1016/S0370-2693(97)00843-5

[20]

NonAbelian Born-Infeld action and type I. Heterotic duality (1): Heterotic F**6 terms at two loops

S. Stieberger
(
- Humboldt U., Berlin and
- Northeastern U.
)
,
T.R. Taylor
(
- Northeastern U.
)

- Nucl.Phys.B 647 (2002) 49-68
•
e-Print:
- hep-th/0207026
•
DOI:
- 10.1016/S0550-3213(02)00895-7

[20]

NonAbelian Born-Infeld action and type 1. - heterotic duality 2: Nonrenormalization theorems

S. Stieberger
(
- Humboldt U., Berlin and
- Northeastern U.
)
,
T.R. Taylor
(
- Humboldt U., Berlin and
- Northeastern U.
)

- Nucl.Phys.B 648 (2003) 3-34
•
e-Print:
- hep-th/0209064
•
DOI:
- 10.1016/S0550-3213(02)00979-3

[21]

Interconnections between type II superstrings, M theory and N=4 supersymmetric Yang-Mills

Michael B. Green
(
- Cambridge U., DAMTP
)

- In *Corfu 1998, Quantum aspects of gauge theories, supersymmetry and unification* 22-96,
- In *Goeteborg 1998, Novelties in string theory* 7-87,
- Lect.Notes Phys. 525 (1999) 22
•
e-Print:
- hep-th/9903124
•
DOI:
- 10.1007/BFb0104240

[22]

Duality and instantons in string theory

Elias Kiritsis
(
- Crete U.
)

•
e-Print:
- hep-th/9906018

[23]

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

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