Abstract
This paper is devoted to the construction of unstable D-brane action in torsional Newton-Cartan background through T-duality along null direction. We determine corresponding equations of motion and analyze their solution that corresponds to lower dimensional non-relativistic D(p-1)-brane. We also find Hamiltonian for unstable Dp-brane and study tachyon vacuum solutions that can be interpreted as gas of non-relativistic strings.
Highlights
This paper is devoted to the construction of unstable D-brane action in torsional Newton-Cartan background through T-duality along null direction
We find Hamiltonian for unstable Dp-brane and study tachyon vacuum solutions that can be interpreted as gas of non-relativistic strings
JHEP09(2020)191 non-relativistic Dp-brane in torsional NC background and we studied its properties
Summary
We derive unstable Dp-brane in torsional NC background through double dimensional reduction along null direction. SNBP S = −Tp+1 dp+2ξe−φ V (T ) − det Aαβ , Aαβ = GMN ∂αxM ∂βxN + BMN ∂αxM ∂βxN + ls2Fαβ + ls2∂αT ∂βT ,. TBP S is tension of the stable D(p+1)-brane Let us consider this D(p+1)-brane in the background with null isometry where the line element has the form [12, 16, 20]. Since the action described unstable Dp-brane the natural question is to analyse solutions of the equations of motion that follow from (2.7) and that correspond to some stable configurations. Such a solution is known as tachyon kink and we will study its properties
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