An Ambiguity in Fermionic String Perturbation Theory

Recent investigation by Verlinde and Verlinde has shown that the fermionic string loop amplitudes change by a total derivative term in the moduli space under a change of basis of the supermoduli. This ambiguity is addressed in the context of the heterotic string theory, and shown to be a consequence of an inherent ambiguity in defining integration over the variables of a Grassmann algebra—in this case the Grassmann-valued coordinates of the supermoduli space. A resolution of this ambiguity in genus-two within this formalism is also presented.

MODEL: STRING
string model: fermion
SUPERSYMMETRY
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: PARTITION FUNCTION
PERTURBATION THEORY
MATHEMATICAL METHODS: Riemann surface

References(28)

Figures(0)

Multiloop Calculations in Covariant Superstring Theory

Erik P. Verlinde
(
- Utrecht U.
)
,
Herman L. Verlinde
(
- Utrecht U.
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- Phys.Lett.B 192 (1987) 95-102
•
DOI:
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Fayet-Iliopoulos Terms in String Theory

Michael Dine
(
- City Coll., N.Y. and
- Princeton, Inst. Advanced Study
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,
N. Seiberg
(
- Weizmann Inst. and
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,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 289 (1987) 589-598
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F Terms and d Terms in String Theory

Michael Dine
(
- City Coll., N.Y. and
- Princeton, Inst. Advanced Study
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,
Ikuo Ichinose
(
- City Coll., N.Y.
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,
Nathan Seiberg
(
- Weizmann Inst. and
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- Nucl.Phys.B 293 (1987) 253-265
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String Calculation of Fayet-Iliopoulos d Terms in Arbitrary Supersymmetric Compactifications

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Strings and Supermoduli

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Boost noninvariant hydrodynamics in ultrarelativistic heavy ion collisions

D.K. Srivastava
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,
J. Alam
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S. Chakrabarty
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,
S. Raha
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B. Sinha
(
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HETEROTIC GEOMETRY

Philip C. Nelson
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Gregory W. Moore
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Conformal invariance, supersymmetry and string theory

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

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Conformal Field Theory on a (Super)Riemann Surface

Emil J. Martinec
(
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)

- Nucl.Phys.B 281 (1987) 157
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The Energy Momentum Tensor on a Riemann Surface

Hidenori Sonoda
(
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)

- Nucl.Phys.B 281 (1987) 546-572
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BRST OPERATOR ON A RIEMANN SURFACE

Hidenori Sonoda
(
- LBL, Berkeley
)

- Phys.Lett.B 184 (1987) 336
•
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Conformal and Current Algebras on General Riemann Surface

Tohru Eguchi
(
- Tokyo U.
)
,
Hirosi Ooguri
(
- Tokyo U.
)

- Nucl.Phys.B 282 (1987) 308-328,
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