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We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda)…

High Energy Physics - Theory · Physics 2008-09-17 Igor Shenderovich

This paper studies semiclassical strings in AdS3 x S3 x S3 x S1 using the algebraic curve. Calculating one-loop corrections to the energy of the giant magnon fixes the constant term c in the expansion of the coupling h(\lambda). Comparing…

High Energy Physics - Theory · Physics 2013-02-21 Michael C. Abbott

We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS_4 x CP^3 in two different approaches. The off-shell algebraic curve method is used to quantize the classical string configurations in…

High Energy Physics - Theory · Physics 2014-11-21 Changrim Ahn , Minkyoo Kim , Bum-Hoon Lee

Recently, an asymptotic Bethe Ansatz that is claimed to describe anomalous dimensions of "long" operators in the planar N=6 supersymmetric three-dimensional Chern-Simons-matter theory dual to quantum superstrings in AdS_4 x CP^3 was…

High Energy Physics - Theory · Physics 2009-09-17 Tristan McLoughlin , Radu Roiban , Arkady A. Tseytlin

We revisit the calculation of curvature corrections to the pp-wave energy of type IIA string states on AdS_4 x CP^3 initiated in arXiv:0807.1527. Using the near pp-wave Hamiltonian found in arXiv:0912.2257, we compute the first…

High Energy Physics - Theory · Physics 2015-05-20 Davide Astolfi , Valentina Giangreco M. Puletti , Gianluca Grignani , Troels Harmark , Marta Orselli

Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in $AdS_{4}\times CP^{3}$. For this, the ratio of 1/2-BPS circular and 1/6-BPS latitude fermionic Wilson…

High Energy Physics - Theory · Physics 2019-10-02 Daniel Medina-Rincon

Recently there has been progress in the computation of the anomalous dimensions of gauge theory operators at strong coupling by making use of AdS/CFT correspondence. On string theory side they are given by dispersion relations in the…

High Energy Physics - Theory · Physics 2015-06-18 H. Dimov , S. Mladenov , R. C. Rashkov

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 string solution, which matches the `small'…

High Energy Physics - Theory · Physics 2010-12-16 Michael C. Abbott , Inês Aniceto , Olof Ohlsson Sax

We conjecture the Quantum Spectral Curve equations for string theory on $AdS_3 \times S^3 \times T^4$ with RR charge and its CFT$_2$ dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the…

High Energy Physics - Theory · Physics 2022-08-09 Andrea Cavaglià , Nikolay Gromov , Bogdan Stefański , jr. , Alessandro Torrielli

This thesis contains original research on the conjectured AdS/CFT correspondence. Known are the holographic correlators resulting from this correspondence under its classical approximation, confirming the conjecture at this level. In this…

High Energy Physics - Theory · Physics 2021-07-21 Ernesto Bianchi

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general,…

High Energy Physics - Theory · Physics 2011-03-02 Nikolay Gromov , Sakura Schafer-Nameki , Pedro Vieira

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one…

High Energy Physics - Theory · Physics 2008-12-25 Tomasz Lukowski , Olof Ohlsson Sax

This paper studies giant magnons in CP3, which in all known cases are old solutions from S5 placed into two- and three-dimensional subspaces of CP3, namely CP1, RP2 and RP3. We clarify some points about these subspaces, and other…

High Energy Physics - Theory · Physics 2010-01-15 Michael C. Abbott , Inês Aniceto

The pp-wave/BMN limit of the AdS/CFT correspondence has exposed the Maldacena conjecture to a new regimen of direct tests. In one line of pursuit, finite-radius curvature corrections to the Penrose limit (which appear in inverse powers of…

High Energy Physics - Theory · Physics 2012-08-27 Curtis G. Callan, , Tristan McLoughlin , Ian Swanson

We evaluate the exact one-loop partition function for fundamental strings whose world-surface ends on a cusp at the boundary of AdS_4 and has a "jump" in CP^3. This allows us to extract the stringy prediction for the ABJM generalized cusp…

High Energy Physics - Theory · Physics 2014-02-19 V. Forini , V. Giangreco M. Puletti , O. Ohlsson Sax

String theory on AdS$_3$ $\times$ S$^3$ $\times$ $\mathcal{M}_4$ provides a well-studied realization of AdS$_3$/CFT$_2$ holography, but its non-perturbative structure at finite $N \sim 1/G_N^{(3)}$ is largely unknown. A long-standing puzzle…

High Energy Physics - Theory · Physics 2025-11-04 Ji Hoon Lee , Wei Li

In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying Luscher F-terms with a massless particle…

High Energy Physics - Theory · Physics 2016-06-01 Michael C. Abbott , Inês Aniceto

In this thesis we present some computations made in both sides of the AdS/CFT holographic correspondence using the integrability of both theories. Regarding the string theory side, this thesis is focused in the computation of the dispersion…

High Energy Physics - Theory · Physics 2017-12-13 Juan Miguel Nieto

We study the class of pulsating strings on AdS_4 x CP3. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first corrections to…

High Energy Physics - Theory · Physics 2009-12-17 H. Dimov , R. C. Rashkov

In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime. We construct various kinds of string solutions, including the point-like, circular, folded and pulsating strings. For the circular and folded strings, we figure out…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen , Jun-Bao Wu
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