The localization principle in SUSY gauge theories
@article{Hosomichi2015TheLP, title={The localization principle in SUSY gauge theories}, author={Kazuo Hosomichi}, journal={Progress of Theoretical and Experimental Physics}, year={2015}, volume={2015} }
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Localization principle is a powerful analytic tool in supersymmetric gauge theories which enables one to perform supersymmetric path integrals explicitly. Many important formulae have been obtained, and they led to a major breakthrough in the understanding of gauge theories at strong coupling as well as the dynamics of branes in M-theory…
20 Citations
Twisting and localization in supergravity: equivariant cohomology of BPS black holes
- PhysicsJournal of High Energy Physics
- 2019
A bstractWe develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1].…
Aspects of holographic Wilson loops
- Physics
- 2019
In this thesis we study some aspects of the AdS/CFT correspondence. In particular those involving observables that can be computed exactly, as Wilson loops. The gauge/gravity correspondence or…
Toward the construction of the general multi-cut solutions in Chern-Simons matrix models
- Computer ScienceJournal of High Energy Physics
- 2018
This work proposes an ansatz for the multi-cut solutions in the Chern-Simons (CS) matrix models at large-N which may allow to derive the analytic expressions for all these solutions and derives several novel analytic solutions.
Functional determinants, index theorems, and exact quantum black hole entropy
- Physics
- 2015
A bstractThe exact quantum entropy of BPS black holes can be evaluated using localization in supergravity. An important ingredient in this program, that has been lacking so far, is the one-loop…
Integrability from supersymmetric duality: a short review
- Physics
- 2022
Integrable models of statistical mechanics play a prominent role in modern mathematical physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In this brief review,…
Twisting and localization in supergravity: equivariant cohomology of BPS black holes
- PhysicsJournal of High Energy Physics
- 2019
We develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1]. The…
Mordell integrals and Giveon-Kutasov duality
- Mathematics
- 2015
A bstractWe solve, for finite N, the matrix model of supersymmetric U(N) Chern-Simons theory coupled to Nf massive hypermultiplets of R-charge 12$$ \frac{1}{2} $$, together with a Fayet-Iliopoulos…
Pentagon Identities Arising in Supersymmetric Gauge Theory Computations
- MathematicsTheoretical and Mathematical Physics
- 2019
The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. Comparing the partition functions of…
Killing–Yano tensor and supersymmetry of the self-dual Plebański–Demiański solution
- Mathematics
- 2015
We explore various aspects of the self-dual Plebański–Demiański (PD) family in the Euclidean Einstein–Maxwell-Λ system. The Killing–Yano tensor which was recently found by Yasui and one of the…
Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
- Mathematics
- 2016
A bstractWe solve for finite N the matrix model of supersymmetric U(N ) Chern-Simons theory coupled to Nf fundamental and Nf anti-fundamental chiral multiplets of R-charge 1/2 and of mass m, by…
References
SHOWING 1-10 OF 67 REFERENCES
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Mathematics
- 2008
We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that…
Exact results in D = 2 supersymmetric gauge theories
- Physics
- 2013
A bstractWe compute exactly the partition function of two dimensional $ \mathcal{N} $ = (2, 2) gauge theories on S2 and show that it admits two dual descriptions: either as an integral over the…
3-Manifolds and 3d Indices
- Mathematics
- 2011
We identify a large class R of three-dimensional N = 2 superconformal
field theories. This class includes the effective theories T_M of M5-branes
wrapped on 3-manifolds M, discussed in previous…
Exact Kähler potential from gauge theory and mirror symmetry
- Physics, Mathematics
- 2013
A bstractWe prove a recent conjecture that the partition function of $ \mathcal{N} $ = (2, 2) gauge theories on the two-sphere which flow to Calabi-Yau sigma models in the infrared computes the exact…
Supersymmetric Boundary Conditions in $\mathcal{N}=4$ Super Yang-Mills Theory
- Mathematics
- 2008
AbstractWe study boundary conditions in
${\mathcal{N}}=4$
super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some…
Topological sigma models
- Physics
- 1988
A variant of the usual supersymmetric nonlinear sigma model is described, governing maps from a Riemann surfaceΣ to an arbitrary almost complex manifoldM. It possesses a fermionic BRST-like symmetry,…
M5-branes from gauge theories on the 5-sphere
- Physics
- 2013
A bstractWe use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2, 0) superconformal theory on S5 × S1. The 5d theories can be regarded as Scherk-Schwarz…
The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
- Physics
- 2012
A bstractBased on the construction by Hosomichi, Seong and Terashima we consider N = 1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as…