I did my BSc and MSc from University of Madras and completed my PhD under Prof PM Mathews in Department of Theoretical Physics, University of Madras on Relativistic wave equations and Kaluza-Klein theory.
After post-doctoral research in Institute of Mathematical Sciences, Chennai and SN Bose National Center for Basic Sciences, Kolkata from 1987 to 1990, I joined University of Hyderabad as a lecturer in 1990.I am currently a Professor in School of Physics, University of Hyderabad.
I have visited Abdus Salam International center for Theoretical Physics, Trieste, Italy several times as visiting scientist and associate member. Other short-term visit abroad include visits to Max-Planck Institute for Gravitational Physics at Potsdam several times, PN Lebedev institute of Physical Science, Moscow, 2011, Center for Quantum Spacetime, Seoul, S.Korea, 2008, Sao-Paulo University, 2008.
My broad interest is in Theoretical Physics; specifically in Quantum Field Theory with application to problems High Energy Physics and Condensed matter physics and General theory of Relativity.
Quantum field theory is quantum mechanics applied to systems with infinite degrees of freedom and as such has relevance to physics at wide range of length scales.
At one smallest scale as Planck scale where quantum gravity effects take over, theories with huge symmetries can be expected to become relevant: Higher spin symmetry is a strong candidate for it. The problem of constructing equations for massive or massless arbitrary spin particles in the presence of interactions (even external) in generality is still an outstanding problem. A major progress has been made by Vasiliev using higher spin symmetry, who has constructed non-linear equations for massless case with symmetric tensor representation of particles. Its relation to conventional field theory Couplings and obtaining Vasiliev equations from Holographic models like O(3) models is an active area of research.
Is gravitational force a fundamental force as it is stated in text books or it is an effect of something more basic? If so, is space-time, the arena for action, itself is basic or it is effect of something more fundamental? These questions in recent times, has been asked and is an active area of research. Is non-commutative geometry an underlying reason for this emergent gravity behavior?
The other problem which still shows lot of novelty and scope for deeper understanding is fractional quantum Hall effect. Chern-Simons field theory is an essential ingredient of its understanding. Recently new developments in q^2 expansion of hall conductivity, with non-dissipative Hall viscosity as its coefficient has taken place. This has very interesting links with varied subjects like emergent graviton, quantum geometry. Deeper understanding of Hall viscosity and experimental predictions/observations of these are still open issues.
These are some issues that I am thinking about.
Books published: “Surveys in Theoretical High Energy Physics 2:Lecture Notes from SERC Schools: Edited by Raghavan Rangarajan and M.Sivakumar: Hindustan Publishers Published in 2014: cite link: Click Here
1) LRS Bianchi type-I cosmological model in f (R, T) theory of gravity with Δ (T)
P.K. Sahoo (Birla Inst. Tech. Sci.), M. Sivakumar (Hyderabad U.). 2015.
Astrophys.Space Sci. 357 (2015) 1, 60
2) Consistent Non-Minimal Couplings of Massive Higher-Spin Particles
Ignacio Cortese, Rakibur Rahman, M. Sivakumar
Nucl.Phys. B879 (2014) 143-161
3) Emergent Geometry from Quantized Spacetime
Hyun Seok Yang, M. Sivakumar
Phys.Rev. D82 (2010) 045004
4) The Hydrodynamical Limit of Quantum Hall system
D. Sreedhar Babu (IMSC), R. Shankar (IMSC), M. Sivakumar (Univ. Hyderabad)
Int.J.Mod.Phys. B15 (2001) 2771-2782
5) Duality and Massive Gauge Invariant Theories
E.Harikumar, M. Sivakumar
Phys.Rev. D57 (1998) 3794.
6) Is the $O(3)~σ$ Model with the Hopf Term Exactly Equivalent to a Higher Spin Theory?
T.R.Govindarajan, R.Shankar, N.Shaji, M.Sivakumar
Phys.Rev.Lett. 69 (1992) 721-724
7) Gauge - Invariant Description of Massive Higher - Spin Particles by Dimensional Reduction
S.D. Rindani, M. Sivakumar (Madras U.).
Phys.Rev. D32 (1985) 323
AWARDS & HONORS:
1) Associate Member, Abdus Salam International Center for Theoretical Physics, Trieste, Italy (1996-2004)
2) INSA Visiting Fellow (1994)
3) Fellow of Andhra Pradesh Academy of Sciences
4) Fellow of Telangana Academy of Sciences
Outreach and Pedagogy:
I have an abiding interest in academic outreach activities, physics education and pedagogy. I directed two SERC schools on Theoretical High Energy Physics. As general secretary of Indian Physics Association, Hyderabad Chapter, I conducted quiz for schools and colleges across the city and also organized a one-day workshop for schoolteachers on teaching Basic physics. I wrote a pedagogic article summarizing basic concepts behind Renormalization group: Basics of Renormalization group: Divide and Conquer. Click here
I plan to write more such articles on different topics like Broken symmetry, quantum Hall effect, space-time symmetries and representation and more like that.
A Book review in Current Science: Einstein and the Quantum: by Douglas Stone. Click here
MSc students interested in project/internship (no financial support at present) and motivated to learn and work hard, can contact me.
School of Physics,
University of Hyderabad,
Dr C.R.Rao Road,