There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject But it is a very good and most useful book The original was written in German and appeared in 1942 This is a translation with some minor changes A few remarks have been added, concerning meson theory and nuclear forces, also footnotes referring to modern work in this field, and finally an appendix on the symmetrization of the energy momentum tensor according to Belinfante Quantum Theory of Fields Prof Gregor Wentzel Translated from the German by Charlotte Houtermans and J M Jauch Pp ix + 224, (New York and London: Interscience Publishers, Inc, 1949) 36s

Quantum Theory of Fields

Superstring theoryをめぐって(放談室)

These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009, and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on addressing questions that have arisen repeatedly. Background condensed matter physics material is included as motivation and easy reference for the high energy physics community. The discussion of holographic techniques progresses from equilibrium, to transport and to superconductivity.

https://iopscience.iop.org/article/10.1088/0264-9381/26/22/224002/pdf

Lectures on holographic methods for condensed matter physics

We study the distribution of type-IIB flux vacua in the moduli space near various singular loci, e.g. conifolds, ADE singularities on P1, Argyres-Douglas point etc, using the Ashok-Douglas density det (R+ω). We find that the vacuum density is integrable around each of them, irrespective of the type of the singularities. We study in detail an explicit example of an Argyres-Douglas point embedded in a compact Calabi-Yau manifold.

Distribution of flux vacua around singular points in Calabi-Yau moduli space

For simple and simply-connected complex algebraic group G, we conjecture the existence of a functor eta_G from the category of 2-bordisms to the category of holomorphic symplectic varieties with Hamiltonian action, such that gluing of boundaries corresponds to the holomorphic symplectic quotient with respect to the diagonal action of G We describe various properties of eta_G obtained via string-theoretic analysis Mathematicians are urged to construct eta_G rigorously

On 2d TQFTs whose values are holomorphic symplectic varieties

An elementary introduction to the 2d/4d correspondences is given. After quickly reviewing the 2d q-deformed Yang–Mills theory and the Liouville theory, we will introduce 4d theories obtained by coupling trifundamentals to SU(2) gauge fields. We will then cleraly see that the supersymmetric partition function of these theories on $S^3\times S^1$ and on S (4) is given, respectively, by the q-deformed Yang–Mills theory and the Liouville theory. After giving a short discussion on how this correspondence may be understood from the viewpoint of the 6d $\mathcal{N}=(2, 0)$ theory, we conclude the review by enumerating future directions. Most of the technical points will be referred to more detailed review articles.

https://iopscience.iop.org/article/10.1088/1751-8121/aa5df8/pdf

A brief review of the 2d/4d correspondences*

Studying the supersymmetry enhancement mechanism of Aharony, Bergman, Jafferis and Maldacena, we find a simple condition on the gauge group generators for the matter fields. We analyze all possible compact Lie groups and their representations. The only allowed gauge groups leading to the manifest $ \mathcal{N} = 6 $ supersymmetry are, up to discrete quotients, SU(n) ×U(1), Sp(n) ×U(1), SU(n) ×SU(n), and SU(n) ×SU(m) ×U(1) with possibly additional U(1)’s. Matter representations are restricted to be the (bi)fundamentals. As a byproduct we obtain another proof of the complete classification of the three algebras considered by Bagger and Lambert.

Classification of $$ \mathcal{N} = 6 $$ superconformal theories of ABJM type

The T_N theory is a four-dimensional N=2 superconformal field theory that has played a central role in the analysis of supersymmetric dualities in the last few years. The aim of this review is to collect known properties of the T_N theory and its cousins in one place as a quick reference.

Yuji Tachikawa

Papers

Distribution of flux vacua around singular points in Calabi-Yau moduli space

On 2d TQFTs whose values are holomorphic symplectic varieties

A brief review of the 2d/4d correspondences*

Classification of $$ \mathcal{N} = 6 $$ superconformal theories of ABJM type

A review of the T_N theory and its cousins