Obtaining BPS States in Interacting Field Theory

arroy_0205
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What is meant by BPS state in an interacting field theory? Suppose I have the action for some theory. Now how do I obtain the BPS states for the theory? I am looking for clear steps for calculations. Also I need to know what is special about these states. You may give reference to some review article or books.
 
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You might try page 441 (and thereabouts) in The Quantum Theory of Fields II by Weinberg.
 

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