SUPER_QUANTA
Supersymmetric Quantum Field Theories and Software Development for the Lattice Formulation
Project Summary:
SUPER_QUANTA aims to enhance analytical computations in Quantum Field Theories (QFTs),
studying interactions among quarks, gluons, and their superpartners. It focuses on
models which are forerunners to supersymmetric extensions of the Standard Model and
provides mechanisms for new Beyond-the-Standard-Model Physics.
In four-dimensional N=1 Supersymmetric Yang-Mills (SYM) theories, SUPER_QUANTA will
investigate the "current" supermultiplet, consisting of the Noether Supercurrent
operator, the axial current, and the Energy-Momentum tensor, using improved
discretizations and stout smearing on the lattice. Advanced perturbative methods will be
employed to disentangle operator mixing due to quantum corrections. Furthermore, the
project will utilize a coordinate-space Gauge-Invariant Renormalization Scheme (GIRS) to
explore Green's functions of Noether currents within the Wess-Zumino gauge.
In addition, the project aims to determine all fine-tunings and counterterms on the
lattice using the overlap fermion action to simulate specific Supersymmetric (SUSY)
models, including Supersymmetric QCD. This will facilitate quantitative investigations
of phase structures, transitions, chiral symmetry, and SUSY violation phenomena on the
lattice. To this end, several two-, three-, and four-point Green's functions must be
computed at one-loop order; from these Green's functions, the renormalization of all
fields, masses, and couplings on the lattice will be determined.
Lastly, the project will develop user-friendly software to improve multi-loop Feynman
diagram calculations on the lattice, incorporating Graph Theory and chirally invariant
lattice actions. This project will also adapt a compression tool to reduce the storage
space of data coming from the calculation of Feynman diagrams, as well as simulation
data.
Details:
| Programme | EXCELLENCE HUBS |
|---|---|
| Proposal Number | EXCELLENCE/0524/0208 |
| Proposal Acronym | SUPER_QUANTA |
| Funding | 
The project is implemented under the programme of social cohesion “THALIA 2021- 2027” co-funded by the European Union, through Research and Innovation Foundation. |
Paper: N = 1 supersymmetric QCD on the lattice using overlap fermions
Using N = 1 supersymmetric QCD (SQCD) as a prototype model, this work presents a formulation of overlap quarks and gluinos on the lattice, with particular emphasis on the construction of chirally symmetric Yukawa terms. By incorporating the Ginsparg-Wilson relation, chiral transformations, and the Majorana condition for gluinos, we construct a consistent framework that preserves a lattice-modified chiral symmetry and reduces the number of required counterterms compared to Wilson-type discretizations. The formulation introduces auxiliary fermionic fields to realize exact chiral symmetry in Yukawa interactions and enables a detailed analysis of the resulting matrix structures. Upon functionally integrating out the auxiliary fields, ultralocal interaction terms emerge as new contributions to the lattice action. This approach provides a robust foundation for nonperturbative lattice studies of supersymmetric gauge theories. Future work will focus on computing all perturbative fine-tunings required in this formulation to enable continuum matching and numerical simulations of SQCD.
Paper: A Multiple Compression Approach using Attribute-based Signatures [V2]
This paper introduces COMPASS, a multiple compression approach that applies different compression techniques to different subsets of data within a database. COMPASS partitions relational data into rows or columns and selects the most suitable compression scheme for individual columns or column groups. Two versions of COMPASS are proposed: (i) COMPASS-D, which utilizes K-Means clustering based on data values; and (ii) COMPASS-E, which employs K-Means clustering based on column entropy to group similar columns efficiently. The effectiveness of COMPASS is evaluated using the Envmon dataset, a real-world environmental monitoring database, and compared against monolithic compression methods.
Paper: Fine-tunings and renormalization of gluino bilinear operators in lattice SYM with Stout-Smeared links
In this paper, we compute the renormalization factors for the gluino and gluon fields, the gauge parameter, the coupling constant, as well as the scalar, pseudoscalar, and axial-vector gluino bilinear operators in N=1 supersymmetric Yang-Mills (SYM) theory, using improved lattice actions. Our lattice formulation employs clover fermions, a Symanzik-improved gauge action, and stout-smeared links, which suppress ultraviolet fluctuations and thus enable more accurate determinations of renormalization factors. Our methodology involves computing gauge-variant two-point and three-point Green's functions at one-loop order in lattice perturbation theory, in order to extract the multiplicative renormalization factors and the critical gluino mass. By analyzing lattice discretization effects on the axial current and their dependence on the stout-smearing and clover parameters, we identify a value of the smearing parameter that ensures axial-current conservation at one loop. The results presented in this work provide practical guidance for the fine-tuning procedures required to set up and calibrate lattice simulations of SYM.
Talks: Contributions to FSK2025
Conference: XXXIX Panhellenic Conference on Solid State Physics &
Materials Science
Date: 14-17 September 2025
Location: Paphos, Cyprus
We presented our work at FSK2025. The results of this work are generated within the
SUPER_QUANTA project (project:EXCELLENCE/0524/0208), which is implemented under the
“THALIA 2021-2027” programme, co-funded by the European Union through RIF. Explore our
contribution through the Book of Abstracts, presentation, and poster:
- - Book of Abstracts FSK2025: Book of Abstracts FSK2025
- - Presentation: Presentation (PPTX)
- - Poster: Poster (PDF)
Talks: Contributions to CIC2025
Conference: 11th IEEE International Conference on Collaboration and
Internet Computing
Date: 11-14 November 2025
Location: Wyndham Grand Pittsburgh Downtown, Pittsburgh, PA, USA
We presented our work at CIC2025. The results of this work are generated within the
PLATCOM project (project:PRE-SEED/0824/0230), which is implemented under the
“THALIA 2021-2027” programme, co-funded by the European Union through RIF. Explore our
contribution through the paper and presentation:
- - Rethinking Big Data Scale: Balancing Accuracy, Collaboration, and Storage: Paper (PDF) | Presentation (PPTX)
Code: Supersymmetric Quantum Field Theories and Software Development for the Lattice Formulation
This GitHub repository contains Mathematica command files (.m files) to improve multi-loop Feynman diagram calculations on the lattice, incorporating Graph Theory and chirally invariant lattice actions. This project will also adapt a compression tool to reduce the storage space of data coming from the calculation of Feynman diagrams, as well as simulation data.