All Questions
39
questions
2
votes
0
answers
104
views
Axial Chiral Anomaly
I'm reading that many articles are using the "axial anomaly equation" (e.g. Fermion number fractionization in quantum field theory pag.142 or eq (2.27) of Spectral asymmetry on an open space)...
- 71
3
votes
0
answers
68
views
Nekrasov partition function
In the celebrated paper Seiberg-Witten prepotential from instanton counting by N. Nekrasov I can't quite understand some parts of section (2.3). The Nekrasov partition function is defined via
\begin{...
- 626
3
votes
1
answer
123
views
Fermionic components of super-gauge transformations
Consider $4d$ $\mathcal{N}=1$ super Yang-Mills with gauge group $U(N)$, but really any supersymmetric gauge theory in any dimension will do. People have developed a formalism to quantize such theories ...
- 461
3
votes
0
answers
192
views
Is there a non-lagrangian theory without conformal symmetry?
I have been reading about the questions and answers in (Does a non-lagrangian field theory have a stress-energy tensor?) and links in thereof.
My question is the following. Are there non-Lagrangian ...
- 541
4
votes
1
answer
151
views
Mass terms in the SUSY gauged linear sigma model
Okay, I have a very basic question about the SUSY gauged linear sigma model which is driving me crazy. I am following Chapter $15$ of Mirror Symmetry by Hori et al. I am considering the SUSY gauged ...
- 577
3
votes
1
answer
182
views
Gauge invariant supersymmetric transformations
Given the following action
$$
\mathcal{S}=\int{d^4x\;d^2\theta\;d^2\bar{\theta}\left(\bar{Q}_+e^{2V}Q_++\bar{Q}_-e^{-2V}Q_--2\xi V\right)}+\int{d^4x\;d^2\theta\left(mQ_-Q_++\frac{\tau}{16\pi i}W^\...
- 2,035
3
votes
1
answer
105
views
A question on supersymmetry variation of the Wilson loop in $\mathcal{N}=4$ SYM
The Wilson loop in $\mathcal{N}=4$ SYM is
$$W=\frac{1}{N}tr P \exp \int ds (i A_\mu(x) \dot{x}^\mu+\Phi_i(x)\theta^i|\dot{x}|).\tag{2.3}$$
In order to check whether this operator is supersymmetric I ...
- 183
3
votes
1
answer
572
views
Extended supersymmetry and chiral gauge theories
I'm trying to understand the argument that extended supersymmetry cannot produce the chiral structure of the Standard Model, as explained on page 25 of these notes. My impression of the argument goes ...
- 103k
6
votes
1
answer
647
views
On Seiberg-Witten curves
In page 44 of Gaiotto's article "Families of $\mathcal{N}=2$ Field Theories" on Teschner's review the author writes down the pure Seiberg-Witten curve as
$$
x^2 = z^3 + 2uz + \Lambda^4z
$$
with the SW ...
- 331
7
votes
0
answers
903
views
Physical origin of Nekrasov Partition Function
I've seen a few papers [1,2,3,4] which defined Nekrasov Partition Function as (in particular [2,3,4])
\begin{equation}
Z(\mathbf{a}, \epsilon_1,\epsilon_2,\Lambda) := \sum_{n = 0}^\infty \Lambda^n\...
- 595
2
votes
0
answers
102
views
Derivatives of Superpotential in $\mathcal{N}=1$ Gauge Theories
I'm studying $\mathcal{N}=1$ supersymmetric gauge theories. To my understanding, if we can compute a superpotential (or effective superpotential in a given vacuum) then there is a holomorphic sector ...
- 697
14
votes
1
answer
600
views
Do all $\mathcal{N}=2$ Gauge Theories "Descend" from String Theory?
I'm thinking about the beautiful story of "geometrical engineering" by Vafa, Hollowood, Iqbal (https://arxiv.org/abs/hep-th/0310272) where various types of $\mathcal{N}=2$ SYM gauge theories on $\...
- 697
1
vote
0
answers
225
views
Relation between the momentum map and D-terms
Can someone explain to me the relation between the momentum map linked to symplectic quotients and the D-terms of a scalar potential for a $\mathcal{N}\geq 2$ supersymmetric gauge theory?
I am ...
1
vote
1
answer
1k
views
Higgs and Coulomb Branches. What are they?
On Wikipedia, there is an article on Moduli(Physics). The link is the following https://en.wikipedia.org/wiki/Moduli_(physics) . What captures me is Higgs and Coulomb Branch. If you click the links on ...
user151266
6
votes
1
answer
155
views
Obstruction in calculating $\mathcal{Z}_{\mathcal{N}=1}$ SYM partition function
Seiberg and Witten and Nekrasov managed to completely find the exact partition function of the $\mathcal{N}=2$ SYM theory on $\mathbb{R}^4$. As in $\mathcal{N}=2$ in $\mathcal{N}=1$ the NSZV (Novikov-...
- 2,188