The discussion revolves around formulating supergravity under the De Sitter group, with participants seeking references and clarifications on the topic. The scope includes theoretical aspects, mathematical formulations, and potential references for further study.
Participants express varying levels of familiarity with the topic and different preferences for resources. There is no consensus on the best approach to understanding the contraction from De Sitter to Poincaré or the implications of supergravity in this context, indicating ongoing debate and exploration.
Some participants mention specific textbooks and notes, but there is no agreement on which resources are most appropriate for beginners. The discussion includes technical details that may depend on the participants' backgrounds and understanding of supergravity.
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?