Rolling Down the Throat in NS5-brane Background: The Case of Electrified D-Brane
Yu Nakayama, Kamal L. Panigrahi, Soo-Jong Rey, and Hiromitsu, Takayanagi

TL;DR
This paper investigates the dynamics of electrified D-branes in NS5-brane backgrounds using both effective field theory and string theory, revealing how boundary states, T-duality, and Lorentz boosts influence decay processes and conserved quantities.
Contribution
It provides an exact boundary state construction for electrified D-branes, analyzes their decay and conserved currents, and demonstrates the universal applicability of Kutasov's geometric realization.
Findings
Boundary states match effective theory in large NS5-brane limit
Decay processes relate electrified and bare D-branes via Lorentz covariance
Winding quantum number inclusion explained through elementary Lorentz covariance
Abstract
We study rolling radion dynamics of electrified D-brane in NS5-brane background, both in effective field theory and in full open string theory. We construct exact boundary states and, from them, extract conserved Noether currents. We argue that T-duality and Lorentz boost offer an intuitive approach. In the limit of large number of NS5-branes, both boundary wave functions and conserved currents are sharply peaked and agree with those deduced from the effective field theory. As the number of NS5-branes is reduced, width around the peak becomes wider by string corrections. We also study radiative decay process. By applying Lorentz covariance, we show how the decay of electrified D-brane is related to that of bare D-brane. We compute spectral moments of final state energy and winding quantum number. Using Lorentz covariance argument, we explain in elementary way why winding quantum number…
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