By M.J Duff

A unified conception embracing all actual phenomena is a massive objective of theoretical physics. within the early Nineteen Eighties, many physicists regarded to eleven-dimensional supergravity within the desire that it might probably supply that elusive superunified concept. In 1984 supergravity was once knocked off its pedestal by way of ten-dimensional superstrings, one-dimensional gadgets whose vibrational modes symbolize the uncomplicated debris. Superstrings supplied a perturbative finite concept of gravity which, after compactification to 4 spacetime dimensions, appeared in precept in a position to explaining the normal version. regardless of those significant successes, even if, nagging doubts continued approximately superstrings. Then in 1987 and 1992 the effortless supermembrane and its twin accomplice, the solitonic superfivebrane, have been came across. those are supersymmetric prolonged gadgets with respectively and 5 dimensions relocating in an eleven-dimensional spacetime.Over the interval in view that 1996, perturbative superstrings were outdated via a brand new nonperturbative referred to as M-theory, which describes supermembranes and superfivebranes, subsumes string theories, and has as its low-energy restrict, eleven-dimensional supergravity. M-theory represents the main intriguing improvement within the topic when you consider that 1984 whilst the superstring revolution first burst at the scene.The first ebook dedicated to M-theory, the realm in 11 Dimensions: Supergravity, Supermembranes and M-Theory brings jointly seminal papers that experience formed our present figuring out of this eleven-dimensional international, from supergravity via supermembranes to M-theory. every one bankruptcy comprises commentaries meant to provide an explanation for the significance of those papers and to put them in a much broader viewpoint. every one bankruptcy additionally has an intensive bibliography. The e-book is of curiosity to researchers and postgraduate scholars in particle physics, mathematical physics, gravitation, and cosmology.

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A unified concept embracing all actual phenomena is an important aim of theoretical physics. within the early Nineteen Eighties, many physicists appeared to eleven-dimensional supergravity within the wish that it may supply that elusive superunified idea. In 1984 supergravity used to be knocked off its pedestal by way of ten-dimensional superstrings, one-dimensional items whose vibrational modes characterize the ordinary debris.

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**Extra info for The World in Eleven Dimensions: Supergravity, supermembranes and M-theory (Series in High Energy Physics, Cosmology and Gravitation)**

**Sample text**

Keprinted from Phys. B 76 (1978) 409- 12 Copyright 1978, with permission from Elsevier Science SUPERGRAVITY THEORY IN 1 I DIMENSIONS E. CREMMER, B. JULIA and J. SCHERK Laboratoire de Physique Thborique de I'Ecole Normale Suphicure Paris, France Received 4 April 1978 We present the action and transformation laws of supergravity in 11 dimensions which is expected t o be closely related to the O(8) theory in 4 dimensions after dimensional reduction. Extended O ( N ) ( N = I , ... 8) supergravity theories [ 1-5 J are notoriously difficult t o construct beyond N = 3.

Zurnino, Phys. Lett. 62B (1976) 335; S . 1,'crrxa ~ n Pd. van Nieuwenhuizen, Phys. Rev. Lett. 37 (1976) 1669. Z. Freedman, Phys. Rev. Lett. 38 (1976) 105; S. Ferrlira, J. Scherk and 8. Zumino, Phys. Lett. 66B (19 35 and Nucl. Phys. B l 2 l (1977) 393. 131 A . Das, Phys. Rev. D15 (1977) 2805; E'. Crernrner, J. Scherk and S . Ferrara, Phys. Lett. 68B (1977) 234; E. Crenimer and J. Scherk, Nucl. Phys. 8127 (1977) 259. [ 4 ] 8. Z. Freedman. Nucl. Phys. B130 (1977) 105. [ 5 J E. Crernmer, J. Scherk and S.

According to eq. (83), dim F grows like an iterated exponential. The IVorld in Eleven Dimensions 21 5 . Examples At first we shall list the fundamental representations o f the supersymmetries which allow multiplets with highest spin one. This requires dim U’ < 8. ( A ) s’= o(2). For J = 0 we obtain the character of eq. (92). With u ( e x p ( i c ~ ~ 2=) 2) cos(i(2n t I ) < ) , n = 0, 1, ... , (97) we obtain These are the well-known massless multiplets of the standard supersymmetry in 3 + 1 dimensions.