Flowing from relativistic to nonrelativistic string vacua in AdS 5 × S 5

We find the connection between relativistic and nonrelativistic string vacua in AdS 5 × S 5 in terms of a free parameter c flow. First, we show that the famous relativistic BMN vacuum flows in the large c parameter to an unphysical solution of the nonrelativistic theory. Then, we consider the simple...

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Bibliographic Details
Published in:Physical review. D 2024-01, Vol.109 (2), Article 026014
Main Authors: Fontanella, Andrea, Nieto García, Juan Miguel
Format: Article
Language:English
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Summary:We find the connection between relativistic and nonrelativistic string vacua in AdS 5 × S 5 in terms of a free parameter c flow. First, we show that the famous relativistic BMN vacuum flows in the large c parameter to an unphysical solution of the nonrelativistic theory. Then, we consider the simplest nonrelativistic vacuum, found in Fontanella and García [] (called BMN-like), and we identify its relativistic origin, namely a noncompact version of the folded string with zero spin, ignored in the past due to its infinite energy. We show that, once the critical closed B-field required by the nonrelativistic limit is included, the total energy of such relativistic solution is finite, and in the large c parameter it precisely matches the one of the BMN-like string. We also analyze the case with spin in the transverse anti–de Sitter directions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.109.026014