Introduction to susy 1 introduction to supersymmetry jorge c. Introduction to supersymmetry theoretischphysikalisches institut. Introduction to supersymmetry joseph conlon hilary term 2010 1 introduction and references these notes accompany the supersymmetry lecures given in hilary and trinity term 2009. In this set of lectures, i will explain the formal basis of susy. Instead, almost by accident, string theorists began to realize that string theory might just be the very theory that would solve the problem of quantum gravity. It seems like a cute idea to try and combine these two types of symmetries into one big. These lecture notes provide an introduction to supersymmetry with a focus on the nonperturbative dynamics of supersymmetric. Lorentz transfor mations leave metric unchanged, tg g. They constitute the first part of an introduction to supersymmetry.
Lecture notes introduction to supersymmetry and supergravity desy. As a result, the number of elementary particles doubled. A short introduction to supersymmetry borut bajc 1 j. Supersymmetry susy is a symmetry which relates fermions and bosons, i. Supersymmetry is a conjectured symmetry of space and time and a unique one. Combining these results, we reobtain the kleingordon equation. An introduction to localisation and supersymmetry in curved space stefano cremonesi a couple of remarks are in order. Weak scale supersymmetry, cup 2006, by howard baer and xerxes. Vielbein and spin connection, antide sitter space, black holes. The marriage between the two, called quantum field theory, conceived an enfant terrible, namely antimatter. It is meant for students who have had a oneyear introductory course in quantum. A fairly elementary introduction to supersymmetric field theories in general and the min. An introduction to supersymmetry will be of interest to postgraduate students and researchers in theoretical and particle physics, especially those working in quantum field theory, quantum gravity, general relativity and supergravity.
Introduction supersymmetry is a relatively recent development in theoretical physics which has attracted considerable interest and has been actively developed in several different directions 17, 18. Spontaneous supersymmetry breaking is discussed in some detail. It ranges from the supersymmetry algebra, superspace, explicit construction of a general supersymmetric lagrangian, to the minimal. This leads us to consider transposition of the conjugate dirac equation 41. Supersymmetry breaking athanasios dedes department of physics university of ioannina, greece presusy 2014 july 1519, univ. A type of spacetime symmetry, supersymmetry is a possible candidate for undiscovered particle physics, and seen by some physicists as an elegant solution to many current problems in. Lecture course given at the university of hamburg, winter term 201516 january 25, 2016. It has been a very popular idea among theoretical physicists, for a number of reasons, for several decades it was a hit back when i was a student, before physics was cool, and even well before. One is quantum mechanics, and the other is relativity.
If, by the end, of the lhc era it is shown that supersymmetry is irrelevant at the tev scale, this would be a profound discovery. To make the theory supersymmetric, it suffices to introduce a massless majorana. It might signal that an understanding of physics the tev scale requires an understanding of physics at a scale many orders of. These lectures give a basic introduction to supersymmetry and supergravity.
Supersymmetry is a complex mathematical framework based on the theory of group transformations. Lectures on supersymmetry sissa people personal home pages. Introduction to supersymmetric gauge theories, by olivier. One suspects an intimate connection with the structure of spacetime.
Among models of electroweak symmetry breaking and physics beyond the standard model supersymmetry susy provides one of the most important organizing principles. An introduction to supersymmetry ulrich theis institute for theoretical physics, friedrichschilleruniversity jena, maxwienplatz 1, d07743 jena, germany ulrich. Supersymmetry is a scientific theory that says that when elementary particles such as photons, electrons, and quarks were formed at the beginning of the universe, matching kinds of theoretical superparticles were also created. Supersymmetry, in particle physics, a symmetry between fermions subatomic particles with halfinteger values of intrinsic angular momentum, or spin and bosons particles with integer values of spin. One can combine k and w into an invariant combination g. Rparity and the lightest supersymmetric particle i. For example, physicists didnt understand why galaxies spin as fast as they do, given their significant mass, so they posited a new matter dark matter to solve the problem. An introduction to localisation and supersymmetry in. West, introduction to supersymmetry and supergravity. Lecture notes introduction to supersymmetry and supergravity. The rest of the course will try to provide much more detailed answers to these two basic questions.
Introduction to supersymmetry adel bilal institute of physics, university of neucha. Outline bibliography spontaneous susy breaking general considerations fayetiliopoulos d. It is my hope that these notes will provide a broader pedagogical introduction supersymmetry and extra dimensions. Fast forward math grades 4 7 place values module a harcourt school publishers california fast forw, fiberglass mold free manual download, and many other ebooks. Ill introduce the basics of perturbative supersymmetry and apply them to. The book will also be of interest to mathematicians with an interest in theoretical physics.
Introduction to supersymmetry davide cassani infn, sezione di padova, via marzolo 8, 351 padova, italy davide. Our aim will be to understand supersymmetry not only as an interesting phenomenologial idea to be tested by ongoing and future experiments, but also as a fascinating tool to tackle nontrivial quantum field theories as. As a consequence of the standard models success, string theory wasnt needed to explain particle physics. In particle physics, supersymmetry susy is a conjectured relationship between two basic classes of elementary particles. There is nothing here that cannot be improved upon so here are some suggestions for further reading. Introduction to supersymmetry lecture 2018, karlsruhe institute of ecthnology florian staub, orian. Finally, the more advanced topics of higher dimensions, extended supersymmetry and duality are discussed. According to the theory of unbroken supersymmetry, for each fermion there exists a boson superpartner and for each boson there exists a fermion superpartner with the same fundamental characteristics including mass and charge. A systematic and selfcontainedintroduction to supersymmetric model field theories in fiat minkowskian space and to the techniques used in deriving them is given including superspace. If the universe has extra dimensions mtheory by edward witten predicts up. This seminar gives an introduction to supersymmetry and supersymmetric field theories. Introduction this course is an introduction to 4dimensional global n1 supersymmetric. An introduction to supersymmetry voja radovanovi c faculty of physics university of belgrade belgrade, 2015. Introduction to supersymmetry cambridge monographs on.
Although supersymmetry is no longer a new idea, we still do not know in what form, if any, it plays a role in the proper description of nature. West, introduction to supersymmetry and supergravity, singa. Supersymmetry would answer more than just the higgs question, and being able to solve multiple problems with one solution is appealing to scientists source. This widely acclaimed introduction to n 1 supersymmetry and supergravity is aimed at readers familiar with relativistic quantum field theory who wish to learn about the supersymmetry algebra. Mullerkirsten, armin wiedemann supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. Introduction to supersymmetry university of california. An automatic consequence of having this symmetry in nature is that every type of particle has. C symmetries in these lectures we use mostly minus metric, i. Introduction to supersymmetry neil lambert department of physics, cern, theory unit ch1211 geneva 23, switzerland email. In all generality, symmetries both internal and spacetime implement constraints on the structure of the theory, and on its quantum corrections. Stefan institute, 1001 ljubljana, slovenia 1 lecture 1 1h30min. Before entering into any detail, in this rst lecture we just want to give a brief overview on what is supersymmetry and why is it interesting to study it.
That such a thing exists is itself a surprise colemanmandula. In this new volume supersymmetry and supergravity has been greatly expanded to include a detailed derivation of the most general coupling of super. Introduction to supersymmetry university of oxford. A number of concepts in modern mathematics have significant applications to. Supersymmetry susy is a generaliza tion of the spacetime symmetries of quantum. By 1974, the standard model had become the theoretical explanation of particle physics. The present set of notes were written up independently, but simliarities are unavoidable. Introduction to supersymmetry university of manchester. Supersymmetry, part i theory revised september 2015 by howard e. Supersymmetry lecture notes this is a set of lecture notes based primarily on a course given by fernando quevedo. The material is supplemented with material from quantum theory of fields, vol iii by weinberg, modern supersymmetry by john ternin as well as a few of of my own additions. These lecture notes are based on a series of lectures given by myself from april to june 2009 in the school of mathematics at trinity college, dublin. If this theory is true, it would at least double the kinds of particles in the universe.
Introduction to supersymmetry, by joseph lykken in fields, strings and duality, proceedings of the 1996 theoretical advanced study institute, edited by costas efthimiou and brian greene arxiv. Supersymmetry is a remarkable subject that has fascinated particle physicists since it was originally introduced. Hidden sectors and the structure of supersymmetrybreaking i. A general overviewof supersymmetry and supergravity is provided in the form ofan introduction to.
599 819 648 1123 1448 500 915 974 1453 1573 1580 1642 1506 422 1402 1526 1195 1568 902 255 330 1485 1016 1072 270 1635 153 366 1189 1389 658 276 1423 507 888 1369 156 1021