2023/05/30 by Andrea Fontanella, Fontanella, Andrea, Juan Miguel Nieto García +1
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2305.19316
openalex publication_date 2023/05/30 · openalex created_date 2023/06/02 · openalex updated_date 2026/08/01
We find the connection between relativistic and non-relativistic string vacua in AdS5 ×S5 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 non-relativistic theory. Then, we consider the simplest non-relativistic vacuum, found in arXiv:2109.13240 (called BMN-like), and we identify its relativistic origin, namely a non-compact 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 non-relativistic 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 analyse the case with spin in the transverse AdS directions.