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My current research involves the study of supersymmetric theories in various dimensions using the techniques of localization and matrix models. In general, I am interested in understanding various aspects of susy theories, including non-perturbative effects. Another set of tools for that purpose is found in the framework of superspace. I study projective (Π) and harmonic (♫) superspaces and develop techniques in these frameworks, which can lead to simplifications in computing scattering amplitudes & Wilson loops.
Specific categorization of my research based on space & time follows:
At Department of Theoretical Sciences, SNBNCBS
At Department of Theoretical Sciences, SNBNCBS
'Preliminary Exploration of 5d/3d Correspondence', (Jan – Mar 2022). arXiv:2203.17203[hep-th]
'5d Partition Functions on (S²×S¹)×Σg', (Jan 2020 – Jun 2021). arXiv:2106.15126[hep-th]
'Stokes Phenomena in 3d N=2 SQED₂ and CP¹ Models', Co-author: Arkajyoti Manna (Jan – May 2021). arXiv:2105.04583[hep-th]
'Relation Between Entanglement Entropy and Subregion Complexity', Co-authors: S. Gangopadhyay, A. Saha (Jan–May 2020). arXiv:2006.03428[hep-th]
'5d Superconformal Index at Large N', Co-author: P. Marcos Crichigno (Nov 2019 – Apr 2020). arXiv:2005.00550[hep-th]
At Theory Division, SINP
At Theory Division, SINP
'Twisted Indices of more 3d Quivers', (Apr–Aug 2019). arXiv:1908.03035[hep-th]
'Exact WKB Analysis of CP¹ Holomorphic Blocks', Co-authors: Many (Oct 2018 – Jul 2019). arXiv:1907.05031[hep-th]
'3d N=2 ÂD̂Ê Chern-Simons Quivers', Co-author: A. Ray (Jan 2018 – Feb 2019). arXiv:1902.10498[hep-th]
'Deep Machine Learning for Mathematical Physics Problems' (Jun 2017 – Hiatus).
'5d Partition Functions with A Twist', Co-authors: P. Marcos Crichigno, B. Willett (Apr 2017 – Aug 2018). arXiv:1808.06744[hep-th]
At Department of Physics, NTU
At Department of Physics, NTU
'N=3 Harmonic Super-Wilson Loop' (Jan 2015 – Mar 2018). arXiv:1803.05612[hep-th]
'Non-toric Cones and Chern-Simons Quivers', Co-author: P. Marcos Crichigno (May 2016 – Feb 2017). arXiv:1702.05486[hep-th]
'Deconstructing ζ-Deformed D-quivers', (May–Dec 2015). arXiv:1512.08955[hep-th]
'Connecting Localization and Wall-Crossing via D-Branes', Co-authors: C.-K. Chang, H.-Y. Chen, N. Lee (Oct 2014 – Oct 2015). arXiv:1505.02645[hep-th]
At C. N. Yang Institute for Theoretical Physics, SBU
At C. N. Yang Institute for Theoretical Physics, SBU
'Quantization of 4d, N=3 SYM', Co-authors: C.-Y. Ju, W. Siegel (Mar 2013 – Jul 2020). arXiv:2007.13777[hep-th]
'Localization of Semichiral Fields on S² & Generalized Kähler Geometry', Co-authors: F. Benini, P. Marcos Crichigno, J. Nian (Aug 2013 – May 2015). arXiv:1505.06207[hep-th]
'Free Energy of 3-dimensional Quiver Chern-Simons Theories', Co-author: P. Marcos Crichigno; Advisor: Prof. C. P. Herzog (Jul–Nov 2012). arXiv:1211.1388[hep-th] [My dissertation defence was based on this paper as seen in the presentation below.]
'Background Field Formalism in Projective Hyperspace', Advisor: Prof: W. Siegel (May 2012 – Feb 2013). arXiv:1302.3277[hep-th]
'Deriving Instanton Corrections to Darboux Coordinates on Hyperkähler Metrics from Π', Co-author: P. Marcos Crichigno; Advisor: Prof. M. Roček (Aug 2011 – Apr 2012). arXiv:1204.3899[hep-th]
'Massive Scalar Hypermultiplet in Π', Advisor: Prof. W. Siegel (May–Jun 2011). arXiv:1106.4601[hep-th]
'N=2 SYM from Chern-Simons Action', Advisor: Prof. W. Siegel (Jul 2010 – Feb 2012). arXiv:1203.2929[hep-th]
'Loops in Π', Advisor: Prof. W. Siegel (Sep 2009 – Dec 2010). arXiv:1012.3758[hep-th]
'Deriving Π from ♫', Advisor: Prof. W. Siegel (Jul 2008 – Mar 2009). arXiv:0903.3588[hep-th]
At Department of Theoretical Physics, TIFR
At Department of Theoretical Physics, TIFR
'Supersymmetry and its Spontaneous Breaking', Guides: Profs. S. Minwalla, S. Mukhi and S. Trivedi (May–Jul 2006).
At Department of Physics & Meteorology, IIT KGP
At Department of Physics & Meteorology, IIT KGP
'Spherically Symmetric Geometries in Einstein Gravity Coupled to Scalar Fields', Guide: Prof. Sayan Kar (July 2006 – May 2007). [This is a slightly edited version of the original thesis. Its Appendix I is this paper!]
'Geodesics and Parallel Transport on Two-Dimensional Spaces (Cone and Torus)', Guide: Prof. Sayan Kar; Co-author: Shantanu Agarwal (Jan–Apr 2007). [Some extra materials including coloured figures were added in the presentation below.]
'Measurement of Light Intensity as a Function of Time: Design, Fabrication and Performance Studies of the Prototype', Guide: Prof. Partha Roy Chaudhuri (Aug–Nov 2006). [This is a slightly edited version of the original project report.]
'Path Integrals and Wavepacket Evolution for Damped Mechanical Systems', Guide: Prof. Sayan Kar; Co-author: Anupam Das (May 2005 – Nov 2006). arXiv:quant-ph/0611239 [An unpublished appendix: Equivalence of the Two Nonequivalent Lagrangians for Quadratically Damped Motion of a Particle in a Uniform Gravitational Field.]
'Selection of Bicritical Points in Faraday Instability with Two-Frequency Forcing', Guide: Prof. Krishna Kumar; Co-author: Supriyo Paul (May 2004 – Dec 2005). [A part of this project has been published in Indian Journal of Physics. An updated version of the IJP paper is at arXiv:2008.06847[physics.flu-dyn].]
'Mathieu Equation and its Application to Parametrically Driven Pendulum', Guide: Prof. Krishna Kumar (Aug–Nov 2003). [This is a slightly edited version of the original project report.]
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