Remarks on the geometrical properties of semiclassically quantized strings
arXiv:1507.01883
Abstract
We discuss some geometrical aspects of the semiclassical quantization of string solutions in Type IIB Green-Schwarz action on $\ads_5\times \sphere^5$. We concentrate on quadratic fluctuations around classical configurations, expressing the relevant differential operators in terms of (intrinsic and extrinsic) invariants of the background geometry. The aim of our exercises is to present some compact expressions encoding the spectral properties of bosonic and fermionic fluctuations. The appearing of non-trivial structures on the relevant bundles and their role in concrete computations are also considered. We corroborate the presentation of general formulas by working out explicitly a couple of relevant examples, namely the spinning string and the latitude BPS Wilson loop.
34 pages. v3: one reference added
References in corpus (7)
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- World-sheet scattering in AdS_5 x S^5 at two loops
- Structure of large spin expansion of anomalous dimensions at strong coupling
- Quark-antiquark potential in AdS at one loop
- Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
- Factorized world-sheet scattering in near-flat AdS_5 x S^5
- One-loop spectroscopy of semiclassically quantized strings: bosonic sector