Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 3550 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6636 | 0.8287 | 0.8008 | [M:[0.8306, 1.0565, 1.1694, 0.7176, 1.0565, 1.0765, 0.8106], q:[0.4053, 0.7641], qb:[0.4253, 0.5182], phi:[0.4718]] | [M:[[-12], [4], [12], [-20], [4], [-30], [22]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.153 + t^2.432 + t^2.492 + 2*t^3.169 + t^3.229 + t^3.508 + t^3.847 + t^3.907 + t^3.967 + t^4.186 + t^4.246 + t^4.306 + t^4.525 + t^4.585 + t^4.645 + t^4.864 + t^4.924 + t^4.984 + 2*t^5.322 + t^5.382 + 2*t^5.601 + 3*t^5.661 - t^6. + t^6.12 + 3*t^6.339 + 4*t^6.399 + 3*t^6.459 + t^6.618 + 3*t^6.678 + t^6.738 + t^6.798 + t^6.957 + 2*t^7.016 + t^7.076 + 2*t^7.136 + t^7.196 + t^7.295 + 2*t^7.355 + t^7.415 + 3*t^7.475 + t^7.535 + t^7.694 + 2*t^7.754 + 3*t^7.814 + t^7.874 + t^7.934 + 3*t^8.033 + t^8.093 + t^8.213 + t^8.273 + t^8.372 - 3*t^8.432 + t^8.492 + 3*t^8.552 + 3*t^8.612 + t^8.711 + 3*t^8.771 + 5*t^8.831 + 3*t^8.891 + 2*t^8.951 - t^4.415/y - t^6.568/y - t^6.847/y + t^7.186/y + t^7.246/y + t^7.924/y + t^7.984/y + t^8.262/y + (2*t^8.322)/y + t^8.382/y + (2*t^8.601)/y + (4*t^8.661)/y + t^8.94/y - t^4.415*y - t^6.568*y - t^6.847*y + t^7.186*y + t^7.246*y + t^7.924*y + t^7.984*y + t^8.262*y + 2*t^8.322*y + t^8.382*y + 2*t^8.601*y + 4*t^8.661*y + t^8.94*y | t^2.153/g1^20 + g1^22*t^2.432 + t^2.492/g1^12 + 2*g1^4*t^3.169 + t^3.229/g1^30 + g1^12*t^3.508 + g1^20*t^3.847 + t^3.907/g1^14 + t^3.967/g1^48 + g1^28*t^4.186 + t^4.246/g1^6 + t^4.306/g1^40 + g1^36*t^4.525 + g1^2*t^4.585 + t^4.645/g1^32 + g1^44*t^4.864 + g1^10*t^4.924 + t^4.984/g1^24 + (2*t^5.322)/g1^16 + t^5.382/g1^50 + 2*g1^26*t^5.601 + (3*t^5.661)/g1^8 - t^6. + t^6.12/g1^68 + 3*g1^8*t^6.339 + (4*t^6.399)/g1^26 + (3*t^6.459)/g1^60 + g1^50*t^6.618 + 3*g1^16*t^6.678 + t^6.738/g1^18 + t^6.798/g1^52 + g1^58*t^6.957 + 2*g1^24*t^7.016 + t^7.076/g1^10 + (2*t^7.136)/g1^44 + t^7.196/g1^78 + g1^66*t^7.295 + 2*g1^32*t^7.355 + t^7.415/g1^2 + (3*t^7.475)/g1^36 + t^7.535/g1^70 + g1^40*t^7.694 + 2*g1^6*t^7.754 + (3*t^7.814)/g1^28 + t^7.874/g1^62 + t^7.934/g1^96 + 3*g1^48*t^8.033 + g1^14*t^8.093 + t^8.213/g1^54 + t^8.273/g1^88 + g1^56*t^8.372 - 3*g1^22*t^8.432 + t^8.492/g1^12 + (3*t^8.552)/g1^46 + (3*t^8.612)/g1^80 + g1^64*t^8.711 + 3*g1^30*t^8.771 + (5*t^8.831)/g1^4 + (3*t^8.891)/g1^38 + (2*t^8.951)/g1^72 - t^4.415/(g1^2*y) - t^6.568/(g1^22*y) - (g1^20*t^6.847)/y + (g1^28*t^7.186)/y + t^7.246/(g1^6*y) + (g1^10*t^7.924)/y + t^7.984/(g1^24*y) + (g1^18*t^8.262)/y + (2*t^8.322)/(g1^16*y) + t^8.382/(g1^50*y) + (2*g1^26*t^8.601)/y + (4*t^8.661)/(g1^8*y) + (g1^34*t^8.94)/y - (t^4.415*y)/g1^2 - (t^6.568*y)/g1^22 - g1^20*t^6.847*y + g1^28*t^7.186*y + (t^7.246*y)/g1^6 + g1^10*t^7.924*y + (t^7.984*y)/g1^24 + g1^18*t^8.262*y + (2*t^8.322*y)/g1^16 + (t^8.382*y)/g1^50 + 2*g1^26*t^8.601*y + (4*t^8.661*y)/g1^8 + g1^34*t^8.94*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5230 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6842 | 0.8682 | 0.7881 | [M:[0.8319, 1.056, 1.1681, 0.7198, 1.056, 1.0797, 0.8083, 0.6962], q:[0.4041, 0.764], qb:[0.4277, 0.5162], phi:[0.472]] | t^2.088 + t^2.159 + t^2.425 + t^2.496 + 2*t^3.168 + t^3.239 + t^3.504 + t^3.841 + t^3.982 + 2*t^4.177 + 2*t^4.248 + t^4.319 + 2*t^4.513 + 2*t^4.584 + t^4.655 + t^4.85 + t^4.92 + t^4.991 + 2*t^5.257 + 3*t^5.327 + t^5.398 + 3*t^5.593 + 3*t^5.664 + t^5.929 - t^6. - t^4.416/y - t^4.416*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^4.411/y - t^4.411*y | detail |