K Sankaran Viswanathan
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
K Sankaran Viswanathan has a total of 25 co-authors. Here are the top co-authors by number of shared publications:
- R. Parthasarathy
Department of Physics Simon Fraser University Burnaby V5A 1S6 B.C Canada
11 shared publications - Radoslav C. Rashkov
Department of Physics, Sofia University, 5 J. Bourchier Blvd., 1164 Sofia, Bulgaria
10 shared publications - Yi Yang
Department of Physics Simon Fraser University Burnaby V5A 1S6 BC Canada
7 shared publications - Raghuveer Parthasarathy
The University of Oregon
5 shared publications W. Mueck
5 shared publications- Wolfgang Mück
Department of Physics Simon Fraser University V5A 1S6 Burnaby B.C Canada
5 shared publications
Latest Publications
- 10 September 2018
- Published by Elsevier in Annals of Physics
- Vol. 398, 1-8
Classical defocussing of world lines in higher dimensions
- 10 September 2018
- Published by Elsevier in Annals of Physics
- Vol. 398, 1-8
Classical defocussing of world lines in higher dimensions
- Open Access
Classical Defocussing of world lines from Higher Dimensions
A five-dimensional gravity theory, motivated by the brane-world picture, with Kaluza scalar in the 5 - dimensional metric as $g_{55}(r); r=\sqrt{x^2+y^2+z^2}$, is considered near the possible singularity (small distance scales where gravity is strong) and is shown to give rise to a positive contribution to the Raychaudhuri equation. This inhibits the focusing of world lines and contributes to non - focusing of the worldlines in the 5-dimensional space. It is also shown that the results extend to time dependent cases such as those relevant for black hole interiors and cosmology.Open AccessClassical Defocussing of world lines from Higher Dimensions
A five-dimensional gravity theory, motivated by the brane-world picture, with Kaluza scalar in the 5 - dimensional metric as $g_{55}(r); r=\sqrt{x^2+y^2+z^2}$, is considered near the possible singularity (small distance scales where gravity is strong) and is shown to give rise to a positive contribution to the Raychaudhuri equation. This inhibits the focusing of world lines and contributes to non - focusing of the worldlines in the 5-dimensional space. It is also shown that the results extend to time dependent cases such as those relevant for black hole interiors and cosmology. - Open Access
Photons with half-integral spin as q-Fermions
The recently discovered 'light (photons) with half-integral spin' is interpreted as q-Fermions proposed by us in 1991, as these q-Fermions satisfy q-deformed anti-commutation relations (pertaining to spin half) and have the property that more than one q-Fermion can occupy a given quantum state. In this article, in view of the recent discovery, we recall the construction of q-Fermions and give the statistical properties of q-Fermion gas, based on our preprint in 1992.
Open AccessPhotons with half-integral spin as q-Fermions
The recently discovered 'light (photons) with half-integral spin' is interpreted as q-Fermions proposed by us in 1991, as these q-Fermions satisfy q-deformed anti-commutation relations (pertaining to spin half) and have the property that more than one q-Fermion can occupy a given quantum state. In this article, in view of the recent discovery, we recall the construction of q-Fermions and give the statistical properties of q-Fermion gas, based on our preprint in 1992.
- Open Access
Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model
We have considered the holographic large $N_c$ QCD model proposed by Sakai and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane upto $(\alpha')^4$ terms. Restricting to the pion sector, these corrections give rise to four derivative contact terms for the pion field. We derive the Weinberg's phenemenological lagrangian. The coefficients of the four derivative terms are determined in terms of $g_{YM}^2$. The low energy pion-pion scattering amplitudes are evaluated. Numerical results are presented with the choice of $M_{KK}=0.94 GeV$ and $N_c=11$. The results are compared with the amplitudes calculated using the experimental phase shifts. The agreement with the experimental data is found to be satisfactory.Open AccessLow Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model
We have considered the holographic large $N_c$ QCD model proposed by Sakai and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane upto $(\alpha')^4$ terms. Restricting to the pion sector, these corrections give rise to four derivative contact terms for the pion field. We derive the Weinberg's phenemenological lagrangian. The coefficients of the four derivative terms are determined in terms of $g_{YM}^2$. The low energy pion-pion scattering amplitudes are evaluated. Numerical results are presented with the choice of $M_{KK}=0.94 GeV$ and $N_c=11$. The results are compared with the amplitudes calculated using the experimental phase shifts. The agreement with the experimental data is found to be satisfactory. - Open Access$(α')^4$ Corrections in Holographic Large N_c QCD and $π- π$ ScatteringWe calculate the ${\alpha'}^4$ corrections to the non-Abelian DBI action on the D8-brane in the holographic dual of large N_c QCD proposed by Sakai and Sugimoto. These give rise to higher derivative terms, in particular, four derivative contact terms for the pion field with the coupling uniquely determined. We calculate the pion-pion scattering amplitude near threshold. The results respecting unitarity are in qualitative agreement with the experimental curves.Open Access$(α')^4$ Corrections in Holographic Large N_c QCD and $π- π$ ScatteringWe calculate the ${\alpha'}^4$ corrections to the non-Abelian DBI action on the D8-brane in the holographic dual of large N_c QCD proposed by Sakai and Sugimoto. These give rise to higher derivative terms, in particular, four derivative contact terms for the pion field with the coupling uniquely determined. We calculate the pion-pion scattering amplitude near threshold. The results respecting unitarity are in qualitative agreement with the experimental curves.
- Open Access
Flavoured Large N Gauge Theory in an External Magnetic Field
We consider a D7-brane probe of AdS$_{5}\times S^5$ in the presence of pure gauge $B$-field. In the dual gauge theory, the $B$-field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$-field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_{q}$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $\sqrt{m_{q}}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.Open AccessFlavoured Large N Gauge Theory in an External Magnetic Field
We consider a D7-brane probe of AdS$_{5}\times S^5$ in the presence of pure gauge $B$-field. In the dual gauge theory, the $B$-field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$-field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_{q}$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $\sqrt{m_{q}}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry. - 23 November 2005
- Published by American Physical Society (APS) in Physical Review D
- Vol. 72 (10) , 106008
Generalization of the Lunin-Maldacena transformation on thebackgroundIn this paper we consider a simple generalization of the method of Lunin and Maldacena for generating new string backgrounds based on TsT transformations. We study multishift transformations applied to backgrounds with at least two U(1) isometries. We prove that the string currents in any two backgrounds related by transformations are equal. Applying this procedure to the , we find a new background and study some properties of the semiclassical strings.- 23 November 2005
- Published by American Physical Society (APS) in Physical Review D
- Vol. 72 (10) , 106008
Generalization of the Lunin-Maldacena transformation on thebackgroundIn this paper we consider a simple generalization of the method of Lunin and Maldacena for generating new string backgrounds based on TsT transformations. We study multishift transformations applied to backgrounds with at least two U(1) isometries. We prove that the string currents in any two backgrounds related by transformations are equal. Applying this procedure to the , we find a new background and study some properties of the semiclassical strings.- Open AccessGeneralizations of Lunin-Maldacena transformation on the $AdS sub 5 x S sup 5$ backgroundIn this paper we consider a simple generalization of the method of Lunin and Maldacena for generating new string backgrounds based on TsT-transformations. We study multi-shift $Ts... sT$ transformations applied to backgrounds with at least two U(1) isometries. We prove that the string currents in any two backgrounds related by Ts...sT-transformations are equal. Applying this procedure to the $AdS_{5}\times S^{5}$, we find a new background and study some properties of the semiclassical strings.Open AccessGeneralizations of Lunin-Maldacena transformation on the $AdS sub 5 x S sup 5$ backgroundIn this paper we consider a simple generalization of the method of Lunin and Maldacena for generating new string backgrounds based on TsT-transformations. We study multi-shift $Ts... sT$ transformations applied to backgrounds with at least two U(1) isometries. We prove that the string currents in any two backgrounds related by Ts...sT-transformations are equal. Applying this procedure to the $AdS_{5}\times S^{5}$, we find a new background and study some properties of the semiclassical strings.
- Open Access
NS5 Brane and Little String Duality in the pp-wave Limit
We study NSR strings in the Nappi-Witten background, which is the Penrose limit of a certain NS5-brane supergravity solution. We solve the theory in the light-cone gauge, obtaining the spectrum, which is space-time supersymmetric. In light of the LST/NS5-brane duality, this spectrum should be in correspondence with the states of little string theory in the appropriate limit. A semiclassical analysis verifies that the relationship between energy and angular momentum, after a field redefinition, matches the known result for a flat background.
Open AccessNS5 Brane and Little String Duality in the pp-wave Limit
We study NSR strings in the Nappi-Witten background, which is the Penrose limit of a certain NS5-brane supergravity solution. We solve the theory in the light-cone gauge, obtaining the spectrum, which is space-time supersymmetric. In light of the LST/NS5-brane duality, this spectrum should be in correspondence with the states of little string theory in the appropriate limit. A semiclassical analysis verifies that the relationship between energy and angular momentum, after a field redefinition, matches the known result for a flat background.
- Open Access
Semiclassical quantization of Rotating Strings in Pilch-Warner geometry
Some of the recent important developments in understanding string/ gauge dualities are based on the idea of highly symmetric motion of ``string solitons'' in $AdS_5\times S^5$ geometry originally suggested by Gubser, Klebanov and Polyakov. In this paper we study symmetric motion of certain string configurations in so called Pilch-Warner geometry. The two-form field $A_2$ breaks down the supersymmetry to $\mathcal{N}=1$ but for the string configurations considered in this paper the classical values of the energy and the spin are the same as for string in $AdS\times S^5$. Although trivial at classical level, the presence of NS-NS antisymmetric field couples the fluctuation modes that indicates changes in the quantum corrections to the energy spectrum. We compare our results with those obtained in the case of pp-wave limit in hep-th/0206045.Open AccessSemiclassical quantization of Rotating Strings in Pilch-Warner geometry
Some of the recent important developments in understanding string/ gauge dualities are based on the idea of highly symmetric motion of ``string solitons'' in $AdS_5\times S^5$ geometry originally suggested by Gubser, Klebanov and Polyakov. In this paper we study symmetric motion of certain string configurations in so called Pilch-Warner geometry. The two-form field $A_2$ breaks down the supersymmetry to $\mathcal{N}=1$ but for the string configurations considered in this paper the classical values of the energy and the spin are the same as for string in $AdS\times S^5$. Although trivial at classical level, the presence of NS-NS antisymmetric field couples the fluctuation modes that indicates changes in the quantum corrections to the energy spectrum. We compare our results with those obtained in the case of pp-wave limit in hep-th/0206045.