Coset spaces as alternatives to Calabi-Yau spaces in the presence of gaugino condensation

Journal Article · Thu Jan 01 00:00:00 EST 1987 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X87000314· OSTI ID:5641155

Govindarajan, T R ^[1]; Joshipura, A S ^[2]; Rindani, S D ^[3]; Sarker, U ^[4]

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1. Loyola Coll., Madras (India)
2. Institute of Mathematical Sciences, Madras (India)
3. Madras Univ. (India). Dept. of Theoretical Physics
4. Toronto Univ., ON (Canada). Dept. of Physics

Compactification of the field-theory limit of the E/sub 8/ x E'/sub 8/ heterotic string on six-dimensional coset manifolds is discussed, with specific reference to maintaining four-dimensional supersymmetry. By choosing a torsion proportional to the background value of the three-index field H/sub mnp/ occurring in the theory it is possible to satisfy the condition of SU(3) holonomy necessary for supersymmetry. However, in all cases considered, it is found impossible to satisfy all the remaining conditions for supersymmetry. If gaugino condensation is assumed to occur, it is possible to preserve supersymmetry satisfying all the modified requirements of supersymmetry for the spaces SU(3)/U(1),G/sub 2//SU(3) and SO(5)/SU(2) x U(1). The question of chiral fermions is examined in these cases using the Atiyah-Singer index theorem. Background gauge fields, which correspond to different numbers of generations of chiral fermions, are constructed explicitly. In all these cases the low-energy symmetry group is E/sub 6/ x E'/sub 8/.

• OSTI ID: 5641155
• Journal Information: International Journal of Modern Physics A; (USA), Vol. 2:3; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
SUPERSYMMETRY
MANY-DIMENSIONAL CALCULATIONS
CHIRALITY
COMPACTIFICATION
FERMIONS
STRING MODELS
SU-2 GROUPS
SU-3 GROUPS
U-1 GROUPS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
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645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties