scholarly journals N-spike string in AdS3 × S1 with mixed flux

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Rashmi R. Nayak ◽  
Priyadarshini Pandit ◽  
Kamal L. Panigrahi
Keyword(s):  
Angular Momentum ◽  
Dispersion Relation ◽  
Sigma Model ◽  
Integrable Models ◽  
Winding Number

Abstract Sigma model in AdS3× S3 background supported by both NS-NS and R-R fluxes is one of the most distinguished integrable models. We study a class of classical string solutions for N-spike strings moving in AdS3× S1 with angular momentum J in S1 ⊂ S5 in the presence of mixed flux. We observe that the addition of angular momentum J or winding number m results in the spikes getting rounded off and not end in cusp. The presence of flux shows no alteration to the rounding-off nature of the spikes. We also consider the large N-limit of N-spike string in AdS3× S1 in the presence of flux and show that the so-called Energy-Spin dispersion relation is analogous to the solution we get for the periodic-spike in AdS3− pp-wave ×S1 background with flux.

scholarly journals Open giant magnons on LLM geometries

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
David Berenstein ◽  
Adolfo Holguin
Keyword(s):  
Field Theory ◽  
Angular Momentum ◽  
Dispersion Relation ◽  
Spin Chain ◽  
Radial Direction ◽  
Sigma Model ◽  
Perturbative Expansion ◽  
Additional Information ◽  
Open Strings ◽  
Special Case

Abstract We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for ∆ − J that is consistent with saturation of a BPS bound of the centrally extended spin chain. For the special case of circularly symmetric LLM geometries, we can further evaluate the amount of angular momentum J carried by these strings. This quantity diverges for string configurations that try to move between different “coloring regions” in the LLM plane. All of these quantities have a perturbative expansion in the t’Hooft coupling. For the strings suspended between AdS giants, we can compute in field theory the leading result of J carried by the string via an analytic continuation of the SU(2) result, with the help of the Bethe Ansatz for the SL(2) sector. We thus provide additional information on how the radial direction of AdS arises from (open) spin chain calculations.

WARPED COMPACTIFICATION ON SIGMA MODEL, SKYRMIONS IN SIX DIMENSIONS

2007 ◽  
Vol 22 (31) ◽  
pp. 5670-5684 ◽  
Author(s):  
Yuta Kodama ◽  
Kento Kokubu ◽  
Nobuyuki Sawado ◽  
Noriko Shiiki
Keyword(s):  
Field Theory ◽  
Cosmological Constant ◽  
Effective Field Theory ◽  
Extra Dimensions ◽  
Sigma Model ◽  
Effective Field ◽  
Winding Number ◽  
Bulk Cosmological Constant ◽  
Six Dimensions

We construct two distinct brane solutions in six dimensional effective field theory models. The CP 1 sigma model and the baby skyrmion realize warped compactification of the extra dimensions for negative bulk cosmological constant. Higher winding number solutions of the baby skyrmion are also presented.

scholarly journals Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term

1997 ◽  
Vol 12 (09) ◽  
pp. 619-630 ◽  
Author(s):  
B. Chakraborty ◽  
T. R. Govindarajan
Keyword(s):  
Angular Momentum ◽  
Sigma Model ◽  
Quantum Hall ◽  
Hamiltonian Formulation ◽  
Nonlinear Sigma Model ◽  
Quantum Hall Systems ◽  
Hamiltonian Analysis

We study the nonrelativistic nonlinear sigma model with Hopf term in this letter. This is an important issue because of its relation to the currently interesting studies in skyrmions in quantum Hall systems. We perform the Hamiltonian analysis of this system in CP1 variables. When the coefficient of the Hopf term becomes zero we get the Landau–Lifshitz description of the ferromagnets. The addition of Hopf term dramatically alters the Hamiltonian analysis. The spin algebra is modified giving a new structure and interpretation to the system. We point out momentum and angular momentum generators and new features they bring into the system.

ADIABATIC ROTATION FOR THE SKYRMIONS

1993 ◽  
Vol 08 (37) ◽  
pp. 3569-3573
Author(s):  
ZHONG-SHUI MA
Keyword(s):  
Angular Momentum ◽  
Gauge Field ◽  
Sigma Model ◽  
Poynting Vector ◽  
Electromagnetic Properties ◽  
Nonlinear Sigma Model ◽  
Fractional Statistics ◽  
Rotation Procedure ◽  
Chern Simons ◽  
Explicit Derivation

We study the electromagnetic properties of the skyrmions of the O(3) nonlinear sigma model in (2+1) dimensions coupled with the Chern-Simons field by the adiabatic rotation procedure. It is shown that there is no Poynting vector for the skyrmion configuration and the Chern-Simons gauge field. In the process, an explicit derivation of the angular momentum is presented, which connects with the fractional statistics for the skyrmions.

scholarly journals Topological Qubits as Carriers of Quantum Information in Optics

2019 ◽  
Vol 9 (3) ◽  
pp. 575 ◽  
Author(s):  
Gregg Jaeger ◽  
David Simon ◽  
Alexander Sergienko
Keyword(s):  
Angular Momentum ◽  
Quantum Information ◽  
Free Space ◽  
Quantum Communication ◽  
Mathematical Physics ◽  
Optical Systems ◽  
Winding Number ◽  
Free Space Optical ◽  
Beam Splitters ◽  
Spin Momentum

Winding number is a topologically significant quantity that has found valuable applications in various areas of mathematical physics. Here, topological qubits are shown capable of formation from winding number superpositions and so of being used in the communication of quantum information in linear optical systems, the most common realm for quantum communication. In particular, it is shown that winding number qubits appear in several aspects of such systems, including quantum electromagnetic states of spin, momentum, orbital angular momentum, polarization of beams of particles propagating in free-space, optical fiber, beam splitters, and optical multiports.

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