Duality transformation of the one-dimensional supersymmetric string

Bellucci, S.

doi:10.1016/0370-2693(91)90854-J

Duality transformation of the one-dimensional supersymmetric string

S. Bellucci
(
- Frascati
)

Dec 29, 1990

5 pages

Published in:

Phys.Lett.B 257 (1991) 35-39

Published: 1991

DOI:

10.1016/0370-2693(91)90854-J

Report number:

PRINT-91-0017 (FRASCATI),
LNF-90-116-PT

View in:

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Abstract: (Elsevier)

We solve, to all perturbative orders, the discretized representation of the one dimensional supersymmetric string, in terms of matrix variables on a circle of radius R . The compactified perturbative expansion does not possess duality symmetry, in contrast with the bosonic theory. Duality transformations map the exact solution for the supersymmetric string into the solution of the bosonic string in the R = ∞ case.

string model
supersymmetry
dimension: 1
duality: transformation
perturbation theory
matrix model
partition function
energy levels: density

References(13)

Figures(0)

- Nucl.Phys.B 331 171

Planar Diagrams

- Commun.Math.Phys. 59 (1978) 35
•
DOI:
- 10.1007/BF01614153

A Nonperturbative Solution of $D=1$ String Theory

David J. Gross
(
- Princeton U.
)
,
Nikola Miljkovic
(
- Princeton U.
)

- Phys.Lett.B 238 (1990) 217-223
•
DOI:
- 10.1016/0370-2693(90)91724-P

2-d GRAVITY + 1-d MATTER

Paul H. Ginsparg
(
- Harvard U.
)
,
Jean Zinn-Justin
(
- Harvard U.
)

- Phys.Lett.B 240 (1990) 333-340,
- Also in *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 997-1004
•
DOI:
- 10.1016/0370-2693(90)91108-N

On the One-dimensional Discretized String

Giorgio Parisi
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 238 (1990) 209-212
•
DOI:
- 10.1016/0370-2693(90)91722-N

ONE-DIMENSIONAL STRING THEORY ON A CIRCLE

David J. Gross
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)

- Nucl.Phys.B 344 (1990) 475-498,
•
DOI:
- 10.1016/0550-3213(90)90667-3

The Supersymmetric One-dimensional String

Enzo Marinari
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Giorgio Parisi
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 240 (1990) 375-380,
- Also in *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 788-793
•
DOI:
- 10.1016/0370-2693(90)91115-R

On the nonperturbative solution of d = 1 superstring

Stefano Bellucci
(
- Frascati
)
,
T.R. Govindrajan
(
- ICTP, Trieste
)
,
A. Kumar
(
- Ecole Normale Superieure
)
,
R.N. Oerter
(
- Frascati
)

- Phys.Lett.B 249 (1990) 49-55
•
DOI:
- 10.1016/0370-2693(90)90525-B

String Perturbation Theory Diverges

David J. Gross
(
- Princeton U.
)
,
Vipul Periwal
(
- Princeton U.
)

- Phys.Rev.Lett. 60 (1988) 2105
•
DOI:
- 10.1103/PhysRevLett.60.2105

Fractal Structure of 2D Quantum Gravity

V.G. Knizhnik
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.B. Zamolodchikov
(
- Landau Inst.
)

- Mod.Phys.Lett.A 3 (1988) 819,
•
DOI:
- 10.1142/S0217732388000982

Ordering, metastability and phase transitions in two-dimensional systems

J.M. Kosterlitz
(
- Birmingham U.
)
,
D.J. Thouless
(
- Birmingham U.
)

- J.Phys.C 6 (1973) 1181-1203,
- In *Thouless, D.J.: Topological quantum numbers in nonrelativistic physics* 349-371
•
DOI:
- 10.1088/0022-3719/6/7/010

- Zh.Eksp.Teor.Fiz. 34 610

Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet

J. Villain
(
- Grenoble, CEN
)

- J.Phys.(France) 36 (1975) 581-590
•
DOI:
- 10.1051/jphys:01975003606058100