Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates

Abstract

We study minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with a new coordinate system introduced in the previous work 1408.2189. In this letter, we introduce Poincare coordinates for the deformed theory. Then we construct minimal surfaces whose boundary shape is a circle. The solution corresponds to a 1/2 BPS circular Wilson loop in the $q\to 1$ limit. A remarkable point is that the classical Euclidean action is not divergent unlike the original one. This finiteness indicates that the $q$-deformation may be regarded as a UV regularization.

22 pages, 1 figure, LaTeX, typos corrected, further clarifications

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Cited by in corpus (4)

• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Spiky strings in $\varkappa$-deformed $AdS$
• Yang-Baxter deformations and string dualities