M. Sivakumar
Research Quest
Theoretical Physics: I have worked on various aspects of quantum field theory, with applications to particle physics, condensed matter systems. I have worked specifically on higher-spin particles, which has a long-history of several issues associated even at a formulation level. I have provided solutions to some of them, one of which has been referred in a treatise on quantum field theory, by a Nobel Laureate Weinberg. This refers to applying Kaluza-Klein theory to provide a gauge-invariant description of massive higher spin particles.
I have also contributed on application of topological field theories to Fractional Quantum Hall effect, and on duality between Bosonic and Fermionic field theories. My other contribution includes, providing emergent gravity picture for constant curvature spaces from matrix models and on f(R) cosmology. I am currently interested to understand non-Hermitian quantum mechanics, relevance of quantum geometry in condensed matter systems.
Physics Education: I have written an introductory quantum field theory textbook, with a modern outlook, i.e. emphasising effective field theory and renormalisation group ideas within the scope of canonical quantisation and only quantum electrodynamics, which is “Introductory Quantum Field Theory-Concepts and Applications”. I am in the process of writing a textbook on college level quantum mechanics. I have also edited a book “Surveys in Theoretical High Energy Physics :Lecture Notes from SERC Schools”:
I have founded, along with a few like- minded colleagues an organisation Physics Training and Talent Search (PTTS) and we have organised, since 2015, several programs training university level students and teachers. The modern pedagogic practices like active learning are incorporated in it. I am now involved in implementing project-based hands-on experiments wherein students come-up with ideas in designing and fabricating. I am currently interested in promoting 1) student-centric pedagogic practices in teaching and evaluation and 2) teacher training on modern pedagogic practices. I am also taking theory and hands-on experiments courses in REAP (Research Education and Advancement Program) held in JN Planetarium on Sundays for exceptionally bright students in Bangalore.
Academic Bio
Sivakumar joined the School of Mathematics and Natural Sciences, Chanakya University as an Adjunct Professor in 2024. He is interested in theoretical physics, especially quantum mechanics and field theory. He has published in the highly cited journals, including Physical Review Letters. He is widely travelled abroad, was a visiting professor, in institutions like Max Planck Institute, PN Lebedev Institute, Moscow, Center for Quantum Space Time, Seoul. He has given talks and colloquia in several institutions, both in India and abroad. He also has an abundant interest in improving science education, especially physics education. He has written textbooks and articles elucidating difficult concepts. He is in the editorial board of Journal of Physics Education, (Pune).
Earlier he was associated with the University of Hyderabad for more than three decades in the School of Physics. He has taught courses from undergraduate level to advanced Ph.D. level, ranging from the core courses to specialised courses like quantum field theory, general theory of relativity, advanced quantum mechanics, advanced statistical mechanics. He is now handling hand-on experimental courses also, though he is a theorist by training.
His h-index is 17 and total citations 846, as per Google Scholar
https://scholar.google.com/citations?hl=en&user=E1dNLpIAAAAJ&view_op=list_works&gmla=AH8HC4xh3UmcO1qtXZ7_foI2gIxlInE7cui8VZ1wy11AXoHKi-f4CMBfVO99PnR95ZFETjTYM3ab3saqITlt6kQB~
Educational Qualification
PhD: Madras University, M.Sc: Madras University, B.Sc.: Madras University.Publications
Book
Introductory Quantum Field Theory-Concepts and Applications, Ane Books Pvt.Ltd (2022)
Book (Edited) :
“Surveys in Theoretical High Energy Physics :Lecture Notes from SERC Schools”: Edited by Raghavan Rangarajan and M.Sivakumar: Hindustan Publishers Published in 2014.
Publications in journals
1)Transmission across non-Hermitian PT-symmetric quantum dots
and ladders.
Authors: Abhiram Soori, M. Sivakumar and V Subramanyam:
J.Phys.Cond.Matter Vol: 35, Page:055301,(2023)
10.1088/1361-648X/aca3ec
2) Nonadiabatic charge pumping across two superconductors
connected through a normal metal region by periodically driven
potentials,
Abhiram Soori, M. Sivakumar J. Phys.: Condens. Matter
Vol:32, Page 365304 (2020)
10.1088/1361-648X/ab90a9
3) LRS Bianchi type-I cosmological model in f (R, T) theory of
gravity with Λ(T)
PK Sahoo, M Sivakumar .
Astrophysics and Space Science, vol:357 (1),page 60-72 2015,
10.1007/s10509-015-2264-0
4) Consistent Non-Minimal Couplings of Massive Higher-Spin Particles
Ignacio Cortese, Rakibur Rahman, M. Sivakumar
Nuclear Physics -B , vol879, pages 143-148, 2014-
10.1016/j.nuclphysb.2013.12.005
(5) Kappa deformed Dirac equation E. Harikumar , M. Sivakumar and N.Srinivas(Hyd Univ)
Modern Phys Lett A(26),1103-1115,2011.
10.1142/S021773231103550X
(6) Emergent geometry from Quantized Spacetime
Hyun Seok Yang and M. Sivakumar(Hyd.Univ) (Physical Review D vol:82, 045004 (2010))
10.1103/PhysRevD.82.045004
(7) Quasinormal modes,holography and warped BTZ blackhole
Kumar Gupta, E.Harikumar,Siddhartha Sen and M.Sivakumar
(Classical and Quantum Gravity 27 (2010) 165012 (7pp) )
10.1088/0264-9381/27/16/165012
(8) Central charge for Warped AdS3 Black holes
Kumar Gupta, E.Harikumar,Siddhartha Sen and M.Sivakumar (
Mod.Phys.Lett-A Vol. 25, No. 24 (2010) 206
10.1142/S0217732310033438
(9) Bose-Fermi equivalence in three dimensional non-commutative
space-time.
Ajith K M, E. Harikumar, M. Sivakumar
Mod.Phys.LettA23, 3015-3022, 2008
10.1142/S0217732308026868
(10) Aspects of Noncommutative Scalar/Tensor Duality
K. M. Ajith, E. Harikumar, Victor O. Rivelles, M. Sivakumar
PhysRevD77,085010, 2008
10.1103/PhysRevD.77.085010
(11) Dual linearised gravity in arbitrary dimension.
Ajith. K. M, E. Harikumar, M. Sivakumar
Class. Quantum Grav. 22 (2005) 5385-5395.
10.1088/0264-9381/27/16/165012
2004
(12) Hamiltonian versus Lagrangian embedding of a massive spin
one theory involving two form field.
E. Harikumar, M. Sivakumar (Hyderabad U.),
Int.J.Mod.Phys.A17: 405-416,2002
0.1142/S0217751X02006006
(14) Born-Infeld Chern-Simons theory: Hamiltonian embedding, du-
ality and bosonization
(15)E. Harikumar (Hyderabad U.), Avinash Khare (Bhubaneswar,
Inst. Phys.), M. Sivakumar (Hyderabad U.), Prasanta K. Tripathy
(Bhubaneswar, Inst. Phys.)
Nucl.Phys.B618:570-588,2001 .
10.1016/S0550-3213(01)00448-5
(16) Topologically massive nonabelian gauge theories:constraints and
deformations.
E. Harikumar (Hyderabad U.), Amitabha Lahiri (Bose Natl. Ctr.,
Kolkata), M. Sivakumar (Hyderabad U.).
Phys.Rev.D63:105020,2001
10.1103/PhysRevD.63.105020
(17) The Hydrodynamical limit of quantum Hall system.
D. Sreedhar Babu, R. Shankar (IMSc, Chennai), M. Sivakumar
(Hyderabad U.).
Int.J.Mod.Phys.B152771-2782,2001
10.1142/S0217979201006458
(18) Hodge decomposition theorem for Abelian two form gauge the-
ory.
E. Harikumar (Hyderabad U.), R.P. Malik (Bose Natl. Ctr., Kolkata),
M. Sivakumar (Hyderabad U.),
J.Phys.A33:7149-7164,2000
10.1088/0305-4470/33/40/312
(19) On the equivalence between topologically and non-topologically
massive Abelian gauge theories
E. Harikumar, M. Sivakumar (Hyderabad U.),. Nov 1999.
Mod.Phys.Lett.A15:121-132,2000
10.1142/S0217732300000128
(20) Topologically massive Abelian gauge theory from BFT Hamil-
tonian embedding of a first order theory.
E. Harikumar, M. Sivakumar (Hyderabad U.),. Apr 1999.
Nucl.Phys.B565:385-396,2000,
10.1016/S0550-3213(99)00487-3
(21) Supersymmetry, shape invariance and solvability of A(N-1) and
BC(N) Calogero-Sutherland model.
Pijush K. Ghosh (Harish-Chandra Res. Inst.), Avinash Khare
(Bhubaneswar, Inst. Phys.), M. Sivakumar (Hyderabad U.).
Phys.Rev.A58:821-825,1998:
10.1103/PhysRevA.58.821
(22) Chiral solitons in a current coupled Schrodinger equation with
selfinteraction
E. Harikumar, C. Nagaraja Kumar, M. Sivakumar (Hyderabad
U.)
Phys.Rev.D58:107703,1998,
10.1103/PhysRevD.58.107703
(23) Duality and massive gauge invariant theories.
E. Harikumar, M. Sivakumar (Hyderabad U.),. Apr 1996. 11pp.
Phys.Rev.D57:3794,1998
0.1103/PhysRevD.57.3794
(24) On the W algebra in the Calogero-Sutherland model using the
exchange operators
V. Narayanan, M. Sivakumar (Hyderabad U.),. Oct 1995. 13pp.
Mod.Phys.Lett.A11:763-774,1996
10.1142/S0217732396000771
(25) Laughlin wave function and one-dimensional free fermions.
By Prasanta K. Panigrahi, M. Sivakumar (Hyderabad U.).
Physical Review B-vol 52 13742 (1995)
(26) O(3) nonlinear sigma model with Hopf term and higher spin
theories. . By T.R. Govindarajan, R. Shankar (IMSc, Chennai),
N. Shaji (Trivandrum, CDIT), M. Sivakumar (Hyderabad U.).
Int.J.Mod.Phys.A8:3965-3992,1993
10.1142/S0217751X93001612
(27) On Bose-Fermi equivalence in (2+1)-dimensions.
By M. Sivakumar (Bose Inst., Kolkata),. 1990. In *Bombay 1990/
Proceedings, Modern quantum field theory* 440-449. (see HIGH
ENERGY PHYSICS INDEX 29 (1991) No. 13246).
(28) Is the O(3) sigma model with the Hopf term exactly equivalent
to a higher spin theory?
T.R. Govindarajan, R. Shankar (IMSc, Chennai), N. Shaji (Trivan-
drum, CDIT), M. Sivakumar (Hyderabad U.),
Phys.Rev.Lett.69:721-724,1992
10.1103/PhysRevLett.69.721
(29)Exact equivalence of the (2+1)-dimensional O(3) nonlinear sigma
model with the Hopf term to a four fermi model.
R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar (Hyder-
abad U.),. IITK-PHY- 91-03
(30) Bose-Fermi transmutation in (2+1)-dimensions: Effect of self-
interactions and the Maxwell term.
R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar (Hyder-
abad U.)
Mod.Phys.Lett.A6:2379-2388,1991
(31) Fermionization of selfinteracting charged scalar fields coupled
to Abelian Chern-Simons gauge fields in (2+1)-dimensions
Samir K. Paul (Bose Natl. Ctr., Kolkata), R. Shankar (Indian
Inst. Tech., Kanpur), M. Sivakumar (Bose Natl. Ctr., Kolkata),
Mod.Phys.Lett.A6:553-558,1991
(32) On Bose-Fermi Equivalence In A U(1) Gauge Theory With Chern-
Simons Action.
N. Shaji (IMSc, Chennai), R. Shankar (Indian Inst. Tech., Kan-
pur), M. Sivakumar
Mod.Phys.Lett.A5:593,1990.
(33) Kaluza-Klein Reduction And Consistency Of The Massive Spin
3/2 Theory With External Interaction. . Saurabh D. Rindani
(Ahmedabad, Phys. Res. Lab), M. Sivakumar (Bose Inst.,
Z.Phys.C49:601-606,1991.
(34) Dimensional Reduction Of Symmetric Higher Spin Actions. 2:
Fermions
By
S.D. Rindani, M. Sivakumar (IMSc, Chennai), D. Sahdev (Tata
Inst.),
Published in
Mod.Phys.Lett.A4:275-281,1989.
(35) Dimensional reduction of symmetric higher spin actions. 1.
Bosons.
S.D. Rindani (IMSc, Chennai), D. Sahdev (Tata Inst.), M. Sivaku-
mar (IMSc, Chennai),
Mod.Phys.Lett.A4:265-273,1989 Citations: 23
(36) Kaluza-Klein Approach To Higher Spin Theories.
By M. Sivakumar (IMSc, Chennai),. IMSC-89-02, (Received May
1989). 14pp.Published in Theoretical Physics-ed : M.Burma
(37) Hamiltonian Formulation Of A Gauge Invariant Massive Spin
3/2 Theory.
Saurabh D. Rindani, M. Sivakumar (IMSc, Chennai),. PRINT-
88-0096,
Phys.Rev.D37:3543,1988
(38) Consistent Spin One Theories By Kaluza-Klein Dimensional
Reduction.
M. Sivakumar (IMSc, Chennai).
Phys.Rev.D37:1690,1988
(39) Consistent Theory Of Massive Spin 3/2 Particle With Electro-
magnetic And Gravitational Interaction By Kaluza-Klein Reduc-
tion.
S.D. Rindani (Madras U. & IMSc, Chennai), M. Sivakumar (Madras
U.),. IMSC/TP/85-008, MUTP-85/5,
40)Contributed to 23rd International Conference on High-Energy
Physics held in Berkeley, CA, 16-23 July 1986. J.Phys.G12:1335,1986
(41) Gauge – Invariant Description Of Massive Higher – Spin Parti-
cles By Dimensional Reduction. By S.D. Rindani, M. Sivakumar
(Madras U.),
Phys.Rev.D32:3238,1985
CV of M.SIVAKUMAR 17
(42) Dimensional Reduction And Theories With Massive Gauge Fields.
T.R. Govindarajan (Loyola Coll., Chennai), S.D. Rindani, M.
Sivakumar (Madras U.) Phys.Rev.D32:454,1985.
(43) On The Admissible Lorentz Group Representations In Unique
Mass, Unique Spin Relativistic Wave Equations. By P.M. Math-
ews (MIT, LNS), B. Vijayalakshmi, M. Sivakumar (Madras U.),.
1982. J.Phys.A15:L579-L582,1982.
Projects
As a Physics Training and Talent Search (PTTS), chief coordinator, I have got funds from the Infosys Science Foundation, to conduct the training programs for students from 2018 to 2023. The amount ranged roughly from 20 to 40 lakhs. As a faculty in the University of Hyderabad, I have completed several DST/SERB projects.
Honours, Memberships, Special Trainings and Certifications
- Fellow of Andhra Pradesh Akademi of Sciences,
- Fellow of Telangana Akademi of Sciences,
- Associate Member, Abdus Salam International Center for Theoretical Physics,Trieste, Italy,
- INSA Visiting fellow (1994)
- FAPSEP fellowship to visit Sao Paulo University Nov-Dec-2008
- Dynasty foundation fellowship to visit PN Lebedev Physical Institute, Moscow in June 2011.
- Editorial board, Journal of Physics Education (Pune).
Popular Writings
- Basics of Renormalisation group: Divide and conquer
M.Sivakumar Journal of Physics Education, Vol,(28),9, 2012 - Physics training and talent search programme}-R.Rangarajan,G.Rajasekharan,V.Satyanarayana,M.Sivakumar,and Sudha Shenoy -CURRENT SCIENCE, VOL. 111, NO. 3, 10 AUGUST 2016.
- Book Review of “Einstein and the Quantum: The Quest of the Valiant Swabian by A. Douglas Stone” Current Science:107, 53, 2014.
Links
https://www.ptts.org.in/ for my activities as an organiser and lecture notes of my courses.