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Books on the topic 'Supersymmetry, superspace, supersymmetry breaking'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

1962-, Kuzenko Sergei M., ed. Ideas and methods of supersymmetry and supergravity, or, A walk through superspace. Bristol: Institute of Physics Pub., 1998.

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2

Buchbinder, I. L. Ideas and methods of supersymmetry and supergravity, or, A walk through superspace. Bristol: Institute of Physics Pub., 1995.

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3

1954-, Galperin A. S., ed. Harmonic superspace. Cambridge: Cambridge University Press, 2001.

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4

Bellucci, Stefano, ed. Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-03774-5.

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5

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Beyond the Standard Model. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0026.

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The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. The generalisation of the Montonen–Olive duality conjecture in supersymmetric theories. The remarkable properties of extended supersymmetric theories. A brief discussion of twisted supersymmetry in connection with topological field theories. Attempts to build a supersymmetric extention of the standard model and its experimental consequences. The property of gauge supersymmetry to include general relativity and the supergravity models.

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6

Ivanov, E. A., A. S. Galperin, V. I. Ogievetsky, and E. S. Sokatchev. Harmonic Superspace. Cambridge University Press, 2001.

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7

Ivanov, E. A., A. S. Galperin, V. I. Ogievetsky, E. S. Sokatchev, and P. V. Landshoff. Harmonic Superspace. Cambridge University Press, 2005.

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8

Galperin, A. S. Harmonic Superspace. Cambridge University Press, 2001.

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9

Ivanov, E. A., A. S. Galperin, V. I. Ogievetsky, and E. S. Sokatchev. Harmonic Superspace. Cambridge University Press, 2009.

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10

Kuijlaars, Arno. Supersymmetry. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.7.

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This article examines conceptual and structural issues related to supersymmetry. It first provides an overview of generating functions before discussing supermathematics, with a focus on Grassmann or anticommuting variables, vectors and matrices, groups and symmetric spaces, and derivatives and integrals. It then considers various applications of supersymmetry to random matrices, such as the representation of the ensemble average and the Hubbard–Stratonovich transformation, along with its generalization and superbosonization. It also describes matrix δ functions and an alternative representation as well as important and technically challenging problems that supersymmetry addresses beyond the invariant and factorizing ensembles. The article concludes with an analysis of the supersymmetric non-linear σ model, Brownian motion in superspace, circular ensembles and the Colour-Flavour-Transformation.

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11

Ivanov, E. A., A. S. Galperin, V. I. Ogievetsky, and E. S. Sokatchev. Harmonic Superspace (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 2007.

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12

Jr, S. James Gates. Superspace: One Thousand and One Lessons in Supersymmetry. University Press of Florida, 2009.

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13

Dent, Thomas Edward. CP violation and supersymmetry-breaking in superstring models. 2000.

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14

Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity. Springer International Publishing AG, 2014.

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15

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Supersymmetry, or the Defence of Scalars. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0027.

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The only fields of the Standard Model whose masses are not protected by a symmetry are the scalar fields. Supersymmetry is a symmetry between fermions and bosons which provides precisely such a protection mechanism. This chapter presents a comprehensive study of supersymmetric field theories. In particular, it is shown that they do not suffer from the phenomenon of gauge hierarchy. They have remarkable renormalisation properties and offer the most attractive framework to build a unified theory. The breaking of supersymmetry, both explicit and spontaneous, is studied in detail. The generalisation of electric-magnetic duality in supersymmetric theories yields non-perturbative results and the concept of twist makes possible the study of topological field theories. The supersymmetric extension of the Standard Model is shown to predict the existence of new elementary particles, whose phenomenological properties are analysed.

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16

Ivanov, E. A., A. S. Galperin, V. I. Ogievetsky, and E. S. Sokatchev. Harmonic Superspace (Cambridge Monographs on Mathematical Physics). Cambridge University Press, 2001.

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17

Bellucci, Stefano. Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity: Proceedings of the INFN-Laboratori Nazionali di Frascati School 2013. Springer, 2016.

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18

Bellucci, Stefano. Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity: Proceedings of the INFN-Laboratori Nazionali Di Frascati School 2013. Springer London, Limited, 2014.

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19

Bohigas, Oriol, and Hans Weidenmuller. History – an overview. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.2.

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This article discusses the first four decades of the history of random matrix theory (RMT), that is, until about 1990. It first considers Niels Bohr's formulation of the concept of the compound nucleus, which is at the root of the use of random matrices in physics, before analysing the development of the theory of spectral fluctuations. In particular, it examines the Wishart ensemble; Dyson's classification leading to the three canonical ensembles — Gaussian Orthogonal Ensemble (GOE), Gaussian Unitary Ensemble (GUE), and Gaussian Symplectic Ensemble (GSE); and the breaking of a symmetry or an invariance. It also describes how random matrix models emerged from quantum physics, more specifically from a statistical approach to the strongly interacting many-body system of the atomic nucleus. The article concludes with an overview of data on nuclear resonances, many-body theory, chaos, number theory, scattering theory, replica trick and supersymmetry, disordered solids, and interacting fermions and field theory.

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20

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. From Classical to Quantum Fields. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.001.0001.

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Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the fundamental interactions and elementary particles. It is addressed to advanced undergraduate, or beginning graduate, students, who have majored in physics or mathematics. The ambition is to show how these two disciplines, through their mutual interactions over the past hundred years, have enriched themselves and have both shaped our understanding of the fundamental laws of nature. The subject of this book, the transition from a classical field theory to the corresponding Quantum Field Theory through the use of Feynman’s functional integral, perfectly exemplifies this connection. It is shown how some fundamental physical principles, such as relativistic invariance, locality of the interactions, causality and positivity of the energy, form the basic elements of a modern physical theory. The standard theory of the fundamental forces is a perfect example of this connection. Based on some abstract concepts, such as group theory, gauge symmetries, and differential geometry, it provides for a detailed model whose agreement with experiment has been spectacular. The book starts with a brief description of the field theory axioms and explains the principles of gauge invariance and spontaneous symmetry breaking. It develops the techniques of perturbation theory and renormalisation with some specific examples. The last Chapters contain a presentation of the standard model and its experimental successes, as well as the attempts to go beyond with a discussion of grand unified theories and supersymmetry.

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