Topics in supersymmetric field theories and superstrings

Miscellaneous · Fri Jan 01 00:00:00 EST 1988

OSTI ID:5826880

Wang, Zi

The anomalies in supersymmetric gauge field theories and the anomalies on the world sheet have been investigated. By using the exterior differential operators in the superconnection space the author has derived the consistency conditions for the supersymmetric gauge and supersymmetry anomalies. A relationship between supersymmetry anomalies in different approaches has been established, which has been applied to prove the absence of the (1,0) supersymmetry anomaly in the world-sheet gauge theories. This implies, comparing with the result obtained in field-theoretical methods, that there should be, at least in two dimensions, a generalized (family's) index theorem in the superconnection space. Some aspects of cosmology in superstring theories, in particular the time variation of Newton's gravitational constant G/G, have been investigated. The author finds that in the limit of infinitely dilute matter the cosmological model in superstring theories allows an asymptotic cosmological solution, which is of Robertson-Walker parameter k = {minus}1, of the three-space scale factor R{sub 3}(t){approximately}t and of constant internal-space factor (R{sub 6}(t)=const). It is stable against time-dependent perturbations in R{sub 3}(t) and R{sub 6}(t). Based on this asymptotic solution, the author has made a perturbative estimate of the present time variation of Newton's gravitational constant G/G. It turns out that the value of G/G critically depends on the shape of the potential for the size of the internal space. If the potential is almost flat, as in perturbation theory in superstrings to all orders, the value of G/G is calculable and estimated to be -1x10{sup {minus}11{plus minus}1}yr{sup {minus}1}.

• Research Organization: Utah State Univ., Logan, UT (USA)
• OSTI ID: 5826880
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGY
STRING MODELS
SUPERSYMMETRY
FIELD THEORIES
ASYMPTOTIC SOLUTIONS
COMPARATIVE EVALUATIONS
COSMOLOGICAL MODELS
GAUGE INVARIANCE
GRAVITATION
LIMITING VALUES
MATHEMATICAL OPERATORS
PERTURBATION THEORY
TIME DEPENDENCE
UNIFIED GAUGE MODELS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SYMMETRY
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