More about one-loop effective action of open superstring in AdS₅X S^-5

TY - JOUR

T1 - More about one-loop effective action of open superstring in AdS5X S-5

AU - Kristjansen, Charlotte Fløe

AU - Makennko, Yuri

PY - 2012/9/1

Y1 - 2012/9/1

N2 - We reconsider the calculation of the one-loop effective action for an open Green-Schwarz superstring in the AdS5 × S5 background for a circular boundary loop. By an explicit computation of the ratio of relevant determinants, describing semi-classical fluctuations about the minimal surface in AdS and flat spaces, we show that it does not depend upon the AdS regularizing parameter ε. The only dependence upon ε resides in the reparametrization path integral of the exponential of the classical boundary action. We analyze how the result depends on the choice of the boundary condition imposed on fluctuating fields and show that, despite the fact that the contribution of individual angular modes changes, the product over the modes remains unchanged.

AB - We reconsider the calculation of the one-loop effective action for an open Green-Schwarz superstring in the AdS5 × S5 background for a circular boundary loop. By an explicit computation of the ratio of relevant determinants, describing semi-classical fluctuations about the minimal surface in AdS and flat spaces, we show that it does not depend upon the AdS regularizing parameter ε. The only dependence upon ε resides in the reparametrization path integral of the exponential of the classical boundary action. We analyze how the result depends on the choice of the boundary condition imposed on fluctuating fields and show that, despite the fact that the contribution of individual angular modes changes, the product over the modes remains unchanged.

U2 - 10.1007/jhep09(2012)053

DO - 10.1007/jhep09(2012)053

M3 - Journal article

SN - 1126-6708

VL - 2012

SP - 053

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 9

ER -