activity
20162026
most citedAccordiohedra as positive geometries for generic scalar field theories

32 citations · 84 across the 12 of their papers we have counts for

collaborators

13 papers

hep-th2026

Mock Modularity, Resurgence, and Dual False Theta Functions

Mrunmay Jagadale

The invariant of a three-manifold , a half-index of the theory , is well understood for negative-definite plumbed three-manifolds. F…

hep-th2025

-TQFT, Surgery Formulas, and New Algebras

Pedro Guicardi, Mrunmay Jagadale

The invariants of three-manifolds introduced by Gukov-Pei-Putrov-Vafa have influenced many areas of mathematics and physics. However, their TQFT structure remains poorly…

hep-th2025

from Surgery and Modularity

Shimal Harichurn, Mrunmay Jagadale, Dmitry Noshchenko +1

invariants, rigorously defined for negative definite plumbed 3-manifolds, are expected - on physical grounds - to exist for every closed, oriented 3-manifold (Gukov e…

hep-th2023

for 3d theories

Sergei Gukov, Mrunmay Jagadale

Based on the observed behavior of the superconformal index in three-dimensional theories, we propose a quantity that can be considered as an analogue of the "effect…

hep-th2023

Positive Geometries of S-matrix without Color

Mrunmay Jagadale, Alok Laddha

In this note, we prove that the realization of associahedron discovered by Arkani-Hamed, Bai, He, and Yun (ABHY) is a positive geometry for tree-level S-matrix of scalars which hav…

hep-th2023★ 4 cited

Bound on the central charge of CFTs in large dimension

Abhijit Gadde, Mrunmay Jagadale, Shraiyance Jain +1

In this paper, we use crossing symmetry and unitarity constraints to put a lower bound on the central charge of conformal field theories in large space-time dimensions . Specifi…

hep-th2022

Decorated TQFTs and their Hilbert Spaces

Mrunmay Jagadale

We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. The -series invarian…

hep-th2022★ 2 cited

Towards Positive Geometries of Massive Scalar field theories

Mrunmay Jagadale, Alok Laddha

Building on the prior work in [1] we locate a family of positive geometries in the kinematic space which are a specific class of convex realisations of the associahedron. These rea…

hep-th2021★ 10 cited

Towards Positive Geometry of Multi Scalar Field Amplitudes : Accordiohedron and Effective Field Theory

Mrunmay Jagadale, Alok Laddha

The geometric structure of S-matrix encapsulated by the "Amplituhedron program" has begun to reveal itself even in non-supersymmetric quantum field theories. Starting with the semi…

hep-th2020★ 7 cited

On the Positive Geometry of Quartic Interactions III : One Loop Integrands from Polytopes

Mrunmay Jagadale, Alok Laddha

Building on the seminal work of Arkani-Hamed, He, Salvatori and Thomas (AHST), we explore the positive geometry encoding one loop scattering amplitude for quartic scalar interactio…

hep-th2019★ 29 cited

On Positive Geometries of Quartic Interactions II : Stokes polytopes, Lower Forms on Associahedra and Worldsheet Forms

P B Aneesh, Pinaki Banerjee, Mrunmay Jagadale +3

In [1], two of the present authors along with P. Raman attempted to extend the Amplituhedron program for scalar field theories [2] to quartic scalar interactions. In this paper we…

hep-th2019★ 32 cited

Accordiohedra as positive geometries for generic scalar field theories

P. B. Aneesh, Mrunmay Jagadale, Nikhil Kalyanapuram

We build upon the prior works of [1-3] to study tree-level planar amplitudes for a massless scalar field theory with polynomial interactions. Focusing on a specific example, where…

math.NT2016

Additive Collatz Trajectories

Aalok Thakkar, Mrunmay Jagadale

Collatz Conjecture (also known as Ulam's conjecture and 3x+1 problem) concerns the behavior of the iterates of a particular function on natural numbers. A number of generalizations…