By Erick J. Weinberg (auth.), James L. Stone (eds.)
Ten years have handed because it Hooft and Polyakov demonstrat ed that superheavy magnetic monopoles have been a ordinary outcome of any Grand Unified thought (GUT) during which the unifying team features a U(l) issue as a subgroup. An research of those GUTs in an increasing, cooling universe yields a part transition at an strength ~l015 GeV and at a cosmic time ~lO-35 seconds after the large bang. the overall effects of GUTs and this part transition are the prediction of proton decay, the creation of superheavy magnetic monopoles, and an figuring out of the saw far more than subject over anti-matter within the universe. makes an attempt to supply experimental verification of GUTs has ended in valiant experimental efforts in recent times to monitor nucleon decay in huge underground detectors. Experiments to look for superheavy monopoles could ultimately require related efforts. because the unification scale is unreachable within the laboratory, monopole detectors needs to look for relics of the massive bang. a lot theoretical basis has been finished lately with the improvement of GUTs. partially I of this booklet, Erick Weinberg offers a theoretical assessment of the position of magnetic monopoles within the a number of unification schemes. Monopoles within the context of the newly revived Kaluza-Klein theories are awarded through numerous authors and are summarized by means of Qaisar Shafi. Mike Turner starts off half II with a dialogue of monopoles in ordinary tremendous bang cosmology. Paul Steinhardt follows along with his views at the inflationary universe; C.
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Q. Shafi, C. BLACK HOLES IN COMPACTIFIED SUPERGRAVITY F. Alexander Bais Instituut voor Theoretische Fysica Rijksuniversiteit Utrecht The Netherlands ABSTRACT Some consequences of dimensional compactification for black holes in the context of d = 11 supergravity were discussed. 1 ,2,3 The new solutions exhibit novel features. Some of them have tightly dressed singularities, by which we denote a situation where the horizon coincides with a (light like) singularity. It leads to a new type of Penrose diagram from which one can see that there is only a single universe connected to the singularity.
Zachos, Phys. Rev. D24, 999 (1981). N. Schellekens and C. Zachos, Phys. Rev. Lett. 50, 1242 (1983). D. Wilkinson and A. Goldhaber, Phys. Rev. D16, 1221 (1977); D. Wilkinson, Nucl. Phys. B125, 423 (1977). M. Scott, Nucl. PhyS:--B125, 423 (1977); C. Dokos and T. Tomaras, Phys. Rev. D21, 2940 (1980). For a review, see -s: Coleman's 1983 Erice Lectures, in The Unity of the Fundamental Interactions, A. ), 1983. M. Prasad and C. Sommerfield, Phys. Rev. Lett. 35, 760 (1975); E. Bogomolnyi, Sov. J. Nucl.
For the 't HooftPolyakov model, since H is abelian, such a rule does not create difficulties. Thus if (8) ,"'S .. ' (A) x = e iT3a ",s(xA) '" are the transformed fields, then clearly, (9) Therefore fields. the U(l) transformations can be implemented on the Let us now consider nonabelian monopoles and for simplicity choose G to the be the GUT group SU(5) and H to be (locally) SU(3)C x SU(2)WS x U(l)y. The breakdown G + H is achieved by a 24 of Higgs. In the U-gauge, at r = co, it has the form 21 NONABELIAN MONOPOLES BREAK COLOR 1 1 ~(co) 1 C -3/2 (10) -3/2 It is manifestly invariant under SU(3)C x SU(2)WS x U(1)y.