Twisted Statistics in kappa-Minkowski Spacetime (2008)
Govindarajan, T. R., Gupta, Kumar S., Harikumar, E., Meljanac, S., Meljanac, D.
We consider the issue of statistics for identical particles or fields in kappa-deformed spaces, where the system admits a symmetry group G. We obtain the twisted flip operator compatible with the...
Spontaneous symmetry breakdown in fuzzy spheres (2008)
Das, C. R., Digal, S., Govindarajan, T. R.
We study and analyse the questions regarding breakdown of global symmetry on noncommutative sphere. We demonstrate this by considering a complex scalar field on a fuzzy sphere and isolating Goldstone...
Finite temperature phase transition of a single scalar field on a fuzzy sphere (2007)
Das, C. R., Digal, S., Govindarajan, T. R.
We study finite temperature phase transition of neutral scalar field on a fuzzy sphere using Monte Carlo simulations. We work with the zero mode in the temporal directions, while the effects of the...
Statistics and UV-IR Mixing with Twisted Poincare Invariance (2006)
Balachandran, A. P., Govindarajan, T. R., Mangano, G., Pinzul, A., Qureshi, B. A., Vaidya, S.
We elaborate on the role of quantum statistics in twisted Poincare invariant theories. It is shown that, in order to have twisted Poincare group as the symmetry of a quantum theory, statistics must...
Nonlocal regularisation of noncommutative field theories (2006)
Govindarajan, T. R., Kurkcuoglu, Seckin, Panero, Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincar\'e-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off...
Noncommutative Two Dimensional Gravities (2006)
Balachandran, A. P., Govindarajan, T. R., Gupta, K. S., Kurkcuoglu, S.
We give formulations of noncommutative two dimensional gravities in terms of noncommutative gauge theories. We survey their classical solutions and show that solutions of the corresponding...
Nonlocal regularisation of noncommutative field theories (2006)
Govindarajan, T. R., Kurkcuoglu, Seckin, Panero, Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincaré-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off scale....
Schwarz Type Topological Quantum Field Theories (2005)
Kaul, R. K., Govindarajan, T. R., Ramadevi, P.
Topological quantum field theories can be used to probe topological properties of low dimensional manifolds. A class of these theories known as Schwarz type theories, comprise of Chern-Simons...
Time-Space Noncommutativity: Quantised Evolutions (2004)
Balachandran, A. P., Govindarajan, T. R., Martins, A. G., Teotonio-Sobrinho, P.
In previous work, we developed quantum physics on the Moyal plane with time-space noncommutativity, basing ourselves on the work of Doplicher et al.. Here we extend it to certain noncommutative...
Non-commutative Duality: High Spin Fields and $CP^1$ Model with Hopf Term (2004)
Govindarajan, T. R., Harikumar, E.
We show that the non-commutative $CP^1$ model coupled with Hopf term in 3 dimensions is equivalent to an interacting spin-$s$ theory where the spin $s$ of the dual theory is related to the...
Unitary Quantum Physics with Time-Space Noncommutativity (2004)
Balachandran, A. P., Govindarajan, T. R., Molina, C., Teotonio-Sobrinho, P.
In this work quantum physics in noncommutative spacetime is developed. It is based on the work of Doplicher et al. which allows for time-space noncommutativity. The Moyal plane is treated in detail....
Information from quantum blackhole physics (2003)
The study of BTZ blackhole physics and the cosmological horizon of 3D de Sitter spaces are carried out in unified way using the connections to the Chern Simons theory on three manifolds with...
O(3) Sigma model with Hopf term on Fuzzy Sphere (2002)
Govindarajan, T. R., Harikumar, E.
We formulate the $O(3) \s-$ model on fuzzy sphere and construct the Hopf term. We show that the field can be expanded in terms of the ladder operators of Holstein-Primakoff realisation of SU(2)...
Quantum Gravity on $dS_{3}$ (2002)
Govindarajan, T. R., Kaul, R. K., Suneeta, V.
We study quantum gravity on $dS_{3}$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $dS_{3}$ in a...
Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole (2001)
Govindarajan, T. R., Kaul, R. K., Suneeta, V.
We derive an exact expression for the partition function of the Euclidean BTZ black hole. Using this, we show that for a black hole with large horizon area, the correction to the Bekenstein-Hawking...
Quasi-normal modes of AdS black holes : A superpotential approach (2000)
Govindarajan, T. R., Suneeta, V.
A novel method, based on superpotentials is proposed for obtaining the quasi-normal modes of anti-de Sitter black holes. This is inspired by the case of the three-dimensional BTZ black hole, where...
Fermion doubling problem and noncommutative geometry II (2000)
Balachandran, A. P., Govindarajan, T. R., Ydri, B.
In our previous paper (hep-th/9911087), we proposed a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its cartesian products. In this paper after...
Horizon States for AdS Black Holes (2000)
Govindarajan, T. R., Suneeta, V., Vaidya, S.
We study the time-independent modes of a massless scalar field in various black hole backgrounds, and show that for these black holes, the time-independent mode is localised at the horizon. A similar...
The Fermion Doubling Problem and Noncommutative Geometry (1999)
Balachandran, A. P., Govindarajan, T. R., Ydri, B.
We propose a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its Cartesian products.
BTZ Black Hole Entropy from Ponzano-Regge Gravity (1998)
Suneeta, V., Kaul, R. K., Govindarajan, T. R.
The entropy of the BTZ black hole is computed in the Ponzano-Regge formulation of three-dimensional lattice gravity. It is seen that the correct semi-classical behaviour of entropy is reproduced by...
The existence of ring-like and knotted solitons in O(3) non-linear sigma model is analysed. The role of isotopy of knots/links in classifying such solitons is pointed out. Appearance of torus knot...
Current Oscillations, Interacting Hall Discs and Boundary CFTs (1998)
Balachandran, A. P., Bimonte, G., Govindarajan, T. R., Gupta, K. S., John, V., Vaidya, S.
In this paper, we discuss the behavior of conformal field theories interacting at a single point. The edge states of the quantum Hall effect (QHE) system give rise to a particular representation of a...
Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term (1997)
Chakraborty, B., Govindarajan, T. R.
We study the nonrelativistic nonlinear sigma model with Hopf term in this paper. This is an important issue beacuse of its relation to the currently interesting studies in skyrmions in quantum Hall...
Ramadevi, P., Govindarajan, T. R., Kaul, R. K.
We show that any of the new knot invariants obtained from Chern-Simons theory based on an arbitrary non-abelian gauge group do not distinguish isotopically inequivalent mutant knots and links. In an...
Chirality of Knots $9_{42}$ and $10_{71}$ and Chern-Simons Theory (1994)
Ramadevi, P., Govindarajan, T. R., Kaul, R. K.
Upto ten crossing number, there are two knots, $9_{42}$ and $10_{71}$ whose chirality is not detected by any of the known polynomials, namely, Jones invariants and their two variable generalisations,...
Knot invariants from rational conformal field theories (1994)
Ramadevi, P., Govindarajan, T. R., Kaul, R. K.
A framework for studying knot and link invariants from any rational conformal field theory is developed. In particular, minimal models, superconformal models and $W_N$ models are studied. The...
Maxwell-Chern-Simons Electrodynamics on a Disk (1993)
Balachandran, A. P., Chandar, L., Ercolessi, E., Govindarajan, T. R., Shankar, R.
The Maxwell-Chern-Simons (MCS) Lagrangian is the Maxwell Lagrangian augmented by the Chern-Simons (CS) term. In this paper, we study the MCS and Maxwell Lagrangians on a disk $D$. They are of...
O(3) Non-linear $\sigma$ model with Hopf term and Higher spin theories (1993)
Govindarajan, T. R., Shankar, R., Shaji, N., Sivakumar, M.
Following our earlier work we argue in detail for the equivalence of the nonlinear $\sigma$ model with Hopf term at~$\theta=\pi/2s$ ~and an interacting spin-s theory. We give an ansatz for spin-s...
Devi, P. Rama, Govindarajan, T. R., Kaul, R. K.
Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of...
Is the $O(3)~\sigma$ Model with the Hopf Term Exactly Equivalent to a Higher Spin Theory? (1992)
Govindarajan, T. R., Shankar, R., Shaji, N., Sivakumar, M.
We write down a local $CP_1$ model involving two gauge fields, which is exactly equivalent to the O(3) $\sigma$ model with the Hopf term. We impose the $CP_1$ constraint by using the gaussian...
Three Dimensional Chern-Simons Theory as a Theory of Knots and Links (1991)
Kaul, R. K., Govindarajan, T. R.
Three dimensional SU(2) Chern-Simons theory has been studied as a topological field theory to provide a field theoretic description of knots and links in three dimensions. A systematic method has...
Nonlocal regularisation of noncommutative field theories
Govindarajan,T. R., Kurkcuoglu,Seckin, Panero,Marco
We study noncommutative field theories, which are inherently nonlocal, using a Poincaré-invariant regularisation scheme which yields an effective, nonlocal theory for energies below a cut-off scale....