Papers by Priyadarshini Pandit
Journal of High Energy Physics, Dec 12, 2022
We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS 3 × S 3 × S 3... more We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS 3 × S 3 × S 3 × S 1 supported by pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations, which eventually appear due to the presence of flux. We utilize the integrable framework of the deformed NR model to analyze rigidly rotating spiky strings moving only in S 3 × S 1. We further present a quantitative study on the rounding-off nature of the spike in the presence of non-zero angular momentum J in S 1 .
Journal of High Energy Physics
We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS3 × S3 × S3 × ... more We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS3 × S3 × S3 × S1 supported by pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations, which eventually appear due to the presence of flux. We utilize the integrable framework of the deformed NR model to analyze rigidly rotating spiky strings moving only in S3 × S1. We further present a quantitative study on the rounding-off nature of the spike in the presence of non-zero angular momentum J in S1.
arXiv (Cornell University), Sep 20, 2022
We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersecti... more We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersection of two orthogonal stacks of fivebranes in type IIB string theory by using the Neumann-Rosochatius (NR) model. Starting with the Polyakov action of the probe fundamental string we show that a generalised ansatz reduce the system into the one dimensional NR model in the presence of flux. The integrable construction of the model is exploited to analyze the rotating and oscillating string solution. We render the large J BMN-type expansion for the energy of rotating string states while the same for the oscillating string has been derived in long string and small angular momenta limit.
arXiv (Cornell University), Jul 3, 2023
We study circle compactifications of tensionless bosonic string theory, both at the classical and... more We study circle compactifications of tensionless bosonic string theory, both at the classical and the quantum level. The physical state condition for different representations of BMS 3 , the worldsheet residual gauge symmetry for tensionless strings, admits three inequivalent quantum vacua. We obtain the compactified mass spectrum in each of these vacua using canonical quantization and explicate their properties.
Cornell University - arXiv, Sep 15, 2022
Strings on AdS 3 ×S 3 ×S 3 ×S 1 with mixed flux exhibit exact integrability. We wish to construct... more Strings on AdS 3 ×S 3 ×S 3 ×S 1 with mixed flux exhibit exact integrability. We wish to construct an integrable Neumann-Rosochatius (NR) model of strings starting with the type IIB supergravity action in AdS 3 ×S 3 ×S 3 ×S 1 with pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations which eventually appear due to the presence of flux. We utilize the integrable framework of the deformed NR model to analyze rigidly rotating spiky strings moving only in S 3 × S 1. We further present some mathematical speculations on the rounding-off nature of the spike in the presence of non-zero angular momentum J in S 1 .
Journal of High Energy Physics
We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersecti... more We study rigidly rotating and pulsating strings in the background of a 1+1 dimensional intersection of two orthogonal stacks of fivebranes in type IIB string theory by using the Neumann-Rosochatius (NR) model. Starting with the Polyakov action of the probe fundamental string we show that a generalised ansatz reduce the system into the one dimensional NR model in the presence of flux. The integrable construction of the model is exploited to analyze the rotating and oscillating string solution. We render the large J BMN-type expansion for the energy of rotating string states while the same for the oscillating string has been derived in long string and small angular momenta limit.
Journal of High Energy Physics, 2019
The AdS 3 × S 3 string sigma model supported both by NS-NS and R-R fluxes has become a well known... more The AdS 3 × S 3 string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist operators in this theory via semiclassical string methods. We describe the construction of a multi-cusp closed string in conformal gauge moving in AdS 3 with fluxes, which supposedly is dual to a general higher twist operator. After analyzing the string profiles and conserved charges for the string, we find the exact dispersion relation between the charges in the ‘long’ string limit. This dispersion relation in leading order turns out to be similar to the case of pure RR flux, with the coupling being scaled by a factor that depends on the amount of NS-NS flux turned on. We also analyse the case of pure NS flux, where the dispersion relation simplifies considerably. Furthermore, we discuss the implications of these results at length.
Journal of High Energy Physics, 2021
Sigma model in AdS3× S3 background supported by both NS-NS and R-R fluxes is one of the most dist... more 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.
Sigma model in AdS3 × S background supported by both NS-NS and R-R fluxes is one of the most dist... more Sigma model in AdS3 × S 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 × S with angular momentum J in S ⊂ S 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×S 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 ×S background with flux.
The European Physical Journal C
We use Dirac-Born-Infeld action to study the spinning D-string in $$AdS_3 $$AdS3 background in th... more We use Dirac-Born-Infeld action to study the spinning D-string in $$AdS_3 $$AdS3 background in the presence of both NS-NS and RR fluxes. We compute the scaling relation between the energy (E) and spin (S) in the ‘long string limit’. The energy of these spiky string is found to be a function of spin with the leading logarithmic behaviour and the scaling relation appears to be independent of the amount of flux present. We further discuss folded D-string solutions in $$AdS_3$$AdS3 background with pure NS-NS and R-R fluxes.
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Papers by Priyadarshini Pandit