Novel Explicit Multi Spin String Solitons in AdS(5)

TL;DR

This paper presents new explicit solutions for closed, multi-folded spinning strings in AdS(5), revealing conditions for their existence and their energy-spin relations, expanding understanding of string dynamics in curved spacetime.

Contribution

It introduces novel explicit multi-spin string solutions in AdS(5) with specific folding and winding properties, differing from previous single-spin solutions.

Findings

Solutions exist for N/M>2, requiring at least six folds.

Long strings exhibit logarithmic energy-spin scaling.

Solutions resemble orbiting strings in black hole spacetimes.

Abstract

We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in AdS(5). These are 2N-folded strings in the radial direction and also winding M times around an angular direction. Thus in spacetime they consist of 2N segments. Solutions fulfilling the closed string periodicity conditions exist provided N/M>2, i.e. the strings must be folded at least six times in the radial coordinate. The strings are spinning, or actually orbiting, similarly to solutions found previously in black hole spacetimes, but unlike the one-spin solutions in AdS which spin around their center. For long strings we recover the logaritmic scaling relation between energy and spin known from the one-spin case, but different from other known two-spin cases.