scholarly journals Spectra of elliptic potentials and supersymmetric gauge theories

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Wei He
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Moduli Space ◽  
Gauge Theories ◽  
Duality Transformations ◽  
Spectral Solution ◽  
Supersymmetric Gauge ◽  
Strong Coupling Expansions ◽  
Surface Operator ◽  
Function Potential

Abstract We study a relation between asymptotic spectra of the quantum mechanics problem with a four components elliptic function potential, the Darboux-Treibich-Verdier (DTV) potential, and the Omega background deformed N=2 supersymmetric SU(2) QCD models with four massive flavors in the Nekrasov-Shatashvili limit. The weak coupling spectral solution of the DTV potential is related to the instanton partition function of supersymmetric QCD with surface operator. There are two strong coupling spectral solutions of the DTV potential, they are related to the strong coupling expansions of gauge theory prepotential at the magnetic and dyonic points in the moduli space. A set of duality transformations relate the two strong coupling expansions for spectral solution, and for gauge theory prepotential.

scholarly journals The Volume of the Quiver Vortex Moduli Space

2021 ◽  
Author(s):  
Kazutoshi Ohta ◽  
Norisuke Sakai
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Riemann Surfaces ◽  
Gauge Theories ◽  
Target Space ◽  
Contour Integral ◽  
Quiver Gauge Theory ◽  
Volume Formula ◽  
Volume Operator ◽  
Space Volume

Abstract We study the moduli space volume of BPS vortices in quiver gauge theories on compact Riemann surfaces. The existence of BPS vortices imposes constraints on the quiver gauge theories. We show that the moduli space volume is given by a vev of a suitable cohomological operator (volume operator) in a supersymmetric quiver gauge theory, where BPS equations of the vortices are embedded. In the supersymmetric gauge theory, the moduli space volume is exactly evaluated as a contour integral by using the localization. Graph theory is useful to construct the supersymmetric quiver gauge theory and to derive the volume formula. The contour integral formula of the volume (generalization of the Jeffrey-Kirwan residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by the area of the Riemann surface divided by the intrinsic size of the vortex). We give some examples of various quiver gauge theories and discuss properties of the moduli space volume in these theories. Our formula are applied to the volume of the vortex moduli space in the gauged non-linear sigma model with CPN target space, which is obtained by a strong coupling limit of a parent quiver gauge theory. We also discuss a non-Abelian generalization of the quiver gauge theory and “Abelianization” of the volume formula.

Moduli Space, of supersymmetric gauge theory

2004 ◽  
pp. 244-244
Author(s):  
David Berman ◽  
Hugo Garcia-Compean ◽  
Paulius Miškinis ◽  
Miao Li ◽  
Daniele Oriti ◽  
...  
Keyword(s):  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Moduli Space ◽  
Supersymmetric Gauge

scholarly journals Supersymmetric Gauge Theories with an Affine Quantum Moduli Space

1998 ◽  
Vol 80 (13) ◽  
pp. 2758-2761 ◽  
Author(s):  
Gustavo Dotti ◽  
Aneesh V. Manohar
Keyword(s):  
Moduli Space ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge

scholarly journals FOUR LECTURES ON THE GAUGE/GRAVITY CORRESPONDENCE

2003 ◽  
Vol 18 (31) ◽  
pp. 5647-5711 ◽  
Author(s):  
MATTEO BERTOLINI
Keyword(s):  
Gauge Theory ◽  
Riemann Surfaces ◽  
Gauge Theories ◽  
Open Problems ◽  
Four Dimensions ◽  
General Overview ◽  
Geometric Transitions ◽  
Supersymmetric Gauge ◽  
Gauge Gravity ◽  
M Theory

We review in a pedagogical manner some of the efforts aimed at extending the gauge/gravity correspondence to nonconformal supersymmetric gauge theories in four dimensions. After giving a general overview, we discuss in detail two specific examples: fractional D-branes on orbifolds and D-branes wrapped on supersymmetric cycles of Calabi–Yau spaces. We explore in particular which gauge theory information can be extracted from the corresponding supergravity solutions, and what the remaining open problems are. We also briefly explain the connection between these and other approaches, such as fractional branes on conifolds, branes suspended between branes, M5-branes on Riemann surfaces and M-theory on G2-holonomy manifolds, and discuss the role played by geometric transitions in all that.

scholarly journals Seiberg duality, quiver gauge theories, and Ihara’s zeta function

2015 ◽  
Vol 30 (18n19) ◽  
pp. 1550118 ◽  
Author(s):  
Da Zhou ◽  
Yan Xiao ◽  
Yang-Hui He
Keyword(s):  
Gauge Theory ◽  
Zeta Function ◽  
Generating Function ◽  
Riemann Hypothesis ◽  
Gauge Theories ◽  
Duality Transformations ◽  
Distribution Of Poles ◽  
Seiberg Duality ◽  
Refined Version

We study Ihara’s zeta function for graphs in the context of quivers arising from gauge theories, especially under Seiberg duality transformations. The distribution of poles is studied as we proceed along the duality tree, in light of the weak and strong graph versions of the Riemann Hypothesis. As a by-product, we find a refined version of Ihara’s zeta function to be the generating function for the generic superpotential of the gauge theory.

DIFFEOMORPHICALLY NONEQUIVALENT CLASSES OF SOLUTIONS IN GAUGE THEORIES ON GROUP MANIFOLDS

1988 ◽  
Vol 03 (10) ◽  
pp. 2303-2313
Author(s):  
C. ABECASIS ◽  
A. FOUSSATS ◽  
O. ZANDRON
Keyword(s):  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Poincare Group ◽  
Yang Mills ◽  
Group Manifold ◽  
Theory Of Gravity ◽  
Supersymmetric Gauge ◽  
Geometrical Formulation ◽  
Gauge Theory Of Gravity

For the Poincare group manifold we prove that there are solutions for the pseudo-connection one-forms (Yang-Mills potentials) which are not diffeomorphically equivalent to those initially proposed by Ne’eman and Regge in their gauge theory of gravity and supergravity on a (super) group manifold. This is done by imposing the factorization conditions to the geometrical formulation of supersymmetric gauge theory.

scholarly journals The Master Space of Supersymmetric Gauge Theories

2010 ◽  
Vol 2010 ◽  
pp. 1-30 ◽  
Author(s):  
Amihay Hanany ◽  
Alberto Zaffaroni
Keyword(s):  
Moduli Space ◽  
Generating Functions ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Complex Geometry ◽  
Short Review ◽  
Relevant Information ◽  
Supersymmetric Gauge Theories ◽  
Supersymmetric Gauge ◽  
M Theory

We give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. We focus on theories with four real supercharges in 3+1 and 2+1 dimensions. The theories are holographically dual toAdS5×H5orAdS4×H7backgrounds, in Type-IIB or -M theory, respectively. We demonstrate that most of the information on the moduli space and spectrum of the quiver gauge theories is encoded in the concept of the “Master Space”, which is roughly the full moduli space for one brane, consisting of mesonic and baryonic degrees of freedom. We summarize the relevant information in generating functions for chiral operators, which can be computed using plethystics techniques and the language of complex geometry.

D3/D5 SYSTEM AND HOLOGRAPHIC INTERFACE CFT

2013 ◽  
Vol 21 ◽  
pp. 159-160
Author(s):  
KOICHI NAGASAKI ◽  
SATOSHI YAMAGUCHI
Keyword(s):  
Gauge Theory ◽  
Potential Energy ◽  
Test Particle ◽  
Wilson Loop ◽  
Gauge Theories ◽  
The Other ◽  
Expectation Value ◽  
Fundamental String ◽  
Theory Result ◽  
Supersymmetric Gauge

We consider two [Formula: see text] supersymmetric gauge theories connected by an interface and the gravity dual of this system. This interface is expressed by a fuzzy funnel solution of Nahmfs equation in the gauge theory side. The gravity dual is a probe D5-brane in AdS5 × S5. The potential energy between this interface and a test particle is calculated in both the gauge theory side and the gravity side by the expectation value of a Wilson loop. In the gauge theory it is evaluated by just substituting the classical solution to the Wilson loop. On the other hand it is done by the on-shell action of the fundamental string stretched between the AdS boundary and the D5-brane in the gravity. We show the gauge theory result and the gravity one agree with each other.

Sign in / Sign up

Export Citation Format

Share Document