[PDF] Top 20 Localization of Gauge Theories on the Three-Sphere

... of localization for a general ...of localization of path integrals and quote the localization formulas due to Duistermaat and Heckman and to Atiyah and Bott and Berline and Vergne ...dimensional ... See full document

... Atiyah-Bott localization we need to partly compactify the moduli space of instantons to the Gieseker-Nakajima moduli space M inst k in which vector bundles are replaced by the torsion free sheaves, or, in ... See full document

... field theories on S 2 , but also for computing their partition ...for gauge and matter superfields computed in [4, 5] can be derived with the use of the superspace methods which make the cancellations ... See full document

... In this section we will consider models with extended N > 2 supersymmetry on the three-sphere. In particular, the classical actions of N = 4 and N = 8 SYM theories, as well as the Gaiotto-Witten ... See full document

... They set up an iterative technique which made consistent use of the Ward- Green-Takahashi (WGT) identities (96-98], ensuring that the scheme preserved gauge covariance at aJ:![r] ... See full document

... 3.1.2 Monopole operators in N = 2 SQED at large N f Our strategy for studying monopole operators will be the same as in Chapter 2. In any 3-D conformal field theory, there is a one-to-one map between local operators on R ... See full document

... field theories which has a monotonic behaviour along renormalisation group flows, being related to the β-functions via a gradient flow equation involving a positive definite ...general gauge theory with ... See full document

... only theories with extended supersymmetry, ...in theories with extended supersymmetry, it is not the only one compatible with N = 2 ...2 theories to investigation via localization, one is led ... See full document

... in gauge theories is a long-lasting subject of research, with applications in a variety of physical systems ranging from effective gauge theories emerging in strongly correlated systems [276] ... See full document

... the three contemporary techniques of obtaining four dimensional gauge theories from string theory, namely Hanany-Witten, D-brane probes and geometrical ...these theories and how interests in ... See full document

... bulk gauge field was investigated in [ 27 – 31 ...and three-point functions of the displacement operator) were computed to next-to-leading order in [ 8 , 57 ] (for the supersymmetric version of the theory ... See full document

... that three spatial dimensions has been actract- ing the attention of physicists for many ...of theories beyond the Standard ...field theories which can play a number of roles, such as triggering ... See full document

... world-volume gauge theories of D-branes, we usually do not consider orphan legs - ...the three rows of the passport amounts to a linear- fractional transformation among the 3 branch points (0, 1, ∞), ... See full document

... D B 共 k,m 兲⫽ ␮苸 兺 f kˆ ␮ 2 ⫹ 1 2 ␮苸 兺 c kˆ ␮ 2 ⫹ m 2 . 共 B2 兲 alone. To evaluate these integrals, we adapt a technique given in Refs. 关 25 兴 , 关 45 兴 . In the following, when one of the n i is zero it is omitted as an ... See full document

... V (ϕ) = 12(1 + a ϕ 2 ) 1/4 cosh 4 3 ϕ − b ϕ 2 L 2 (8) with the parameter choice (a , b) = (1/500, 10009/1500) and L the AdS scale. The solutions to this bulk theory describe the various phases available to the dual field ... See full document

... field theories in quantum mechanics, it can be expected, that – with favorable boundary conditions – the gauge fields can be quantized using the second quantization ...the gauge fields as ... See full document

... are three important ingredients involved in this result: Gauge invari- ance, decoupling between transverse and longitudinal modes, and the functional form of G ξ ...From gauge invariance, both fields ... See full document

... are three important ingredients involved in this result: Gauge invari- ance, decoupling between transverse and longitudinal modes, and the functional form of G ξ ...From gauge invariance, both fields ... See full document

... a three-dimensional Calabi–Yau vacuum variety cannot be used to construct low-energy effective electroweak ...equally gauge invariant operators do ... See full document

... Gapless boson b = 1 / 4 f = 1 / 4 <latexit sha1_base64="VN6mhOxirCgnguLoQ6yWwbGcFNo=">AAACOHicbVDLSgMxFM34rOOr6tJNsAqu6kwRdCMUFXRnBVuFTimZ9E4NzSRDkhHK0M9y42e4EzcuFHHrF5i2I9[r] ... See full document