The NITEP Theoretical Physics Seminar Series delves into quantum field theory and its related disciplines.
This series aims to explore specialized topics, including the latest advancements in gauge fields, contemporary issues in string theory, and quantum gravity, while also touching on some phenomenological and observational aspects.

All seminars are conducted online, with Zoom links sent to registered participants via email shortly before each session.

To participate, please register through this Google Form. Detailed information for each seminar will be provided via email.

**Eigenvalue method for multi-matrix invariants indico link**

Date: July 30th (Tue), 17:30 (JST)

Speaker: Ryo Suzuki (Shing-Tung Yau Center of Southeast University)

Title: Eigenvalue method for multi-matrix invariants

Abstract: Multi-matrix invariants, or equivalently the scalar multi-trace operators of N=4 super Yang-Mills with U(N) gauge symmetry, are in one-to-one correspondence with the elements of the permutation centralizer algebra (PCA), which is a generalisation of the symmetric group algebra. We develop a new method to explicitly construct all the irreducible representations of PCA up to a modest value of the operator length. The main idea is to consider the eigensystem of the commuting subalgebras of PCA, and to identify the eigenvectors with the orthonormal bases of operators of N=4 SYM, known as the restricted Schur basis and covariant basis. Furthermore, we find that all the coefficients of these operator bases, or equivalently eigenvector elements, can be integer.

This talk is based on arXiv:2408.nnnnn, done in collaboration with S. Ramgoolam (QMUL) and Adrian Padellaro (Bielefeld).

**Field theory for branes and higher-form symmetry indico link**

Date: July 18th (Thu), 9:00(JST)

Speaker: Kiyoharu Kawana (KIAS)

Title: Field theory for branes and higher-form symmetry

Abstract: We propose field theory for branes with higher-form symmetry. The field \psi is no longer a mere function of spacetime point but a functional of p-dimensional closed brane C_p embedded in a spacetime. We show that it is possible to construct an action that is invariant under higher-form transformation by utilizing the “area derivative”, which is a generalization of ordinary derivative \partial/\partial X^\mu. Then, we discuss various fundamental properties of this theory. The classical solution exhibits the area law in the unbroken phase of p-form symmetry, while it indicates a constant behavior (Perimeter law) in the broken phase. In the latter case, the low-energy effective theory is described by the p-form Maxwell theory.

When time permits, I will also discuss gauged version of the brane-field theory and show that it is indeed a generalization of the Ginzburg-Landau theory for superconductivity.

**Toward quantitative Swampland physics indico link**

Date: June 27 (Thr), 9:00(JST)

Speaker: Yuta Hamada (KEK)

Title: Toward quantitative Swampland physics

Abstract: The Swampland bounds are quantum gravity constraints on the low-energy physics. In this talk, I will focus on recent efforts towards developing quantitative Swampland physics. After reviewing the recent progress in this field, I will talk about my recent works on 6d supergravity. I will enumerate the consistent supergravity theories, and then discuss the Swampland bounds on them. I will also discuss the universality of F-theory constructions.

**Universal Spectrum of Superconformal Field Theory and Holography indico link**

Date: June 11 (Tue), 17:30 (JST)

Speaker: Jaewon Song (KAIST)

Title: Universal Spectrum of Superconformal Field Theory and Holography

Abstract: In the celebrated work of Cardy, he derived universal formula for the density of states at high-temperature in two-dimensional CFT. We study an analog of Cardy’s formula of in four-dimensional superconformal theory (SCFT). We also find that large N limit of the 4d supersymmetric index agrees with the Cardy limit when underlying theory is ‘holographic,’ meaning that it admits a dual AdS5 description. We apply the large N formula for the supersymmetric index to model an information loss problem in quantum gravity. Here we find that non-perturbative saddles that correspond to orbifolded Euclidean black holes play a crucial role to cure the “information loss.”