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shereen1
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Dear all
I am studying formulating supergravity under De Sitter group can anyone suggest me a reference
Thank you
I am studying formulating supergravity under De Sitter group can anyone suggest me a reference
Thank you
i just want tto know how can i contract from de sitter to poincarehaushofer said:You mean the fact that supergravity doesnt' allow for dS-vacua unless you turn on vevs?
Hellojedishrfu said:I don't have a direct answer for a book, but for those here that may it would help a lot if you told us your level of education. Are you an undergrad or a graduate student in Physics?
What other physics/math courses have you taken related to Supergravity?
Lastly, you might find some references to investigate at the end of this wikipedia article:
https://en.wikipedia.org/wiki/Supergravity
in particular this book on Supergravity by Freedman:
https://www.amazon.com/dp/0521194016/?tag=pfamazon01-20
you can check its table of contents to see if it has what you're looking for.
You mean a Inönü-Wigner contraction in the underlying algebra? You take the radius of curvature R and send it to infinity, R --> oo. I'm not sure if you also can do this contraction straight away in the transformation rules and the curvatures; one has to be careful with this, but you can check that immediately for yourself.shereen1 said:No
i just want tto know how can i contract from de sitter to poincare
Yes, that book is great. Van Proeyen also has a lot of online notes, on which this book is based.jedishrfu said:in particular this book on Supergravity by Freedman:
https://www.amazon.com/dp/0521194016/?tag=pfamazon01-20
you can check its table of contents to see if it has what you're looking for.
Dear Haushoferhaushofer said:Shereen1, if you want serious answers with content here you should formule questions with content; at least some background. I responded to your question about torsion in SUGRA earlier, but it's not very stimulating if you don't reply to your questions or give no context. 'Contraction" can mean a lot of things. And what kind of SUGRA are you studying? What references did you find so far? Which textbook? Etc.
I will start doing the contraction. In fact i didnt start yet dealing with AdS Backgrounds.haushofer said:You mean a Inönü-Wigner contraction in the underlying algebra? You take the radius of curvature R and send it to infinity, R --> oo. I'm not sure if you also can do this contraction straight away in the transformation rules and the curvatures; one has to be careful with this, but you can check that immediately for yourself.
You are aware of the 'problematic' relation between deSitter and SUGRA? E.g., have you tried (and failed :P ) to write down pure D=4,N=1 SUGRA on an AdS background?
Supergravity is a theory that combines the principles of general relativity and supersymmetry to describe the interactions of gravity with other fundamental forces in the universe. It is a proposed extension of Einstein's theory of general relativity, which only considers the gravitational force.
The De Sitter group is a mathematical group that describes the symmetries of a spacetime with a positive cosmological constant. It is named after the Belgian mathematician Willem de Sitter and is one of the three possible isometry groups of a maximally symmetric spacetime, along with the Poincaré group and the anti-de Sitter group.
Formulating supergravity under the De Sitter group is important because it allows for a more complete understanding of the universe by incorporating both gravity and supersymmetry. It also has implications for cosmology, as the De Sitter group is related to the expansion of the universe and the presence of dark energy.
The comprehensive reference covers the development and formulation of supergravity under the De Sitter group, including its mathematical foundations and applications to cosmology and particle physics. It also includes discussions on its current status and potential future developments in the field.
Scientists, researchers, and graduate students in the fields of theoretical physics, cosmology, and particle physics can benefit from reading this reference. It can also be a valuable resource for those interested in the development and applications of supergravity under the De Sitter group.