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 |
|---|---|---|---|---|---|---|---|---|---|
| 4761 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6635 | 0.8258 | 0.8035 | [X:[1.3333], M:[1.1317, 0.7285, 0.992, 0.8683, 1.1317, 0.6667, 0.8683, 1.008], q:[0.504, 0.3643], qb:[0.504, 0.7675], phi:[0.4651]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [0], [2], [10]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$ | ${}M_{1}M_{7}$ | -2 | t^2.186 + 2*t^2.605 + t^2.79 + t^3.024 + t^3.395 + t^3.581 + t^3.814 + 2*t^4. + t^4.371 + 3*t^4.419 + 2*t^4.79 + t^4.976 + 4*t^5.21 + 2*t^5.395 + 2*t^5.629 + t^5.766 + t^5.814 - 2*t^6. + t^6.048 + 4*t^6.186 + t^6.371 + t^6.557 + 6*t^6.605 + t^6.838 + t^6.976 + 6*t^7.024 + 2*t^7.162 + t^7.21 + t^7.395 + 3*t^7.443 + 4*t^7.581 - 2*t^7.629 + 5*t^7.814 + t^7.952 + 6*t^8. - 4*t^8.186 + 5*t^8.234 + 3*t^8.371 + 4*t^8.419 + t^8.557 - 8*t^8.605 + 2*t^8.653 + t^8.742 + 4*t^8.79 + 6*t^8.838 + 3*t^8.976 - t^4.395/y - t^6.581/y - t^7.186/y + t^7.605/y + (2*t^7.79)/y + t^7.976/y + (3*t^8.21)/y + (2*t^8.395)/y + t^8.581/y + (2*t^8.629)/y + t^8.814/y - t^4.395*y - t^6.581*y - t^7.186*y + t^7.605*y + 2*t^7.79*y + t^7.976*y + 3*t^8.21*y + 2*t^8.395*y + t^8.581*y + 2*t^8.629*y + t^8.814*y | t^2.186/g1^6 + 2*g1^2*t^2.605 + t^2.79/g1^4 + g1^10*t^3.024 + t^3.395/g1^2 + t^3.581/g1^8 + g1^6*t^3.814 + 2*t^4. + t^4.371/g1^12 + 3*g1^8*t^4.419 + (2*t^4.79)/g1^4 + t^4.976/g1^10 + 4*g1^4*t^5.21 + (2*t^5.395)/g1^2 + 2*g1^12*t^5.629 + t^5.766/g1^14 + g1^6*t^5.814 - 2*t^6. + g1^20*t^6.048 + (4*t^6.186)/g1^6 + t^6.371/g1^12 + t^6.557/g1^18 + 6*g1^2*t^6.605 + g1^16*t^6.838 + t^6.976/g1^10 + 6*g1^10*t^7.024 + (2*t^7.162)/g1^16 + g1^4*t^7.21 + t^7.395/g1^2 + 3*g1^18*t^7.443 + (4*t^7.581)/g1^8 - 2*g1^12*t^7.629 + 5*g1^6*t^7.814 + t^7.952/g1^20 + 6*t^8. - (4*t^8.186)/g1^6 + 5*g1^14*t^8.234 + (3*t^8.371)/g1^12 + 4*g1^8*t^8.419 + t^8.557/g1^18 - 8*g1^2*t^8.605 + 2*g1^22*t^8.653 + t^8.742/g1^24 + (4*t^8.79)/g1^4 + 6*g1^16*t^8.838 + (3*t^8.976)/g1^10 - t^4.395/(g1^2*y) - t^6.581/(g1^8*y) - t^7.186/(g1^6*y) + (g1^2*t^7.605)/y + (2*t^7.79)/(g1^4*y) + t^7.976/(g1^10*y) + (3*g1^4*t^8.21)/y + (2*t^8.395)/(g1^2*y) + t^8.581/(g1^8*y) + (2*g1^12*t^8.629)/y + (g1^6*t^8.814)/y - (t^4.395*y)/g1^2 - (t^6.581*y)/g1^8 - (t^7.186*y)/g1^6 + g1^2*t^7.605*y + (2*t^7.79*y)/g1^4 + (t^7.976*y)/g1^10 + 3*g1^4*t^8.21*y + (2*t^8.395*y)/g1^2 + (t^8.581*y)/g1^8 + 2*g1^12*t^8.629*y + g1^6*t^8.814*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 |
|---|---|---|---|---|---|---|---|---|
| 6379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6519 | 0.8058 | 0.809 | [X:[1.3333], M:[1.1293, 0.7212, 0.9798, 0.8707, 1.1293, 0.6667, 0.8707, 1.0202, 1.1293], q:[0.5101, 0.3606], qb:[0.5101, 0.7687], phi:[0.4626]] | t^2.164 + t^2.612 + t^2.776 + t^3.061 + 2*t^3.388 + t^3.552 + t^3.836 + 2*t^4. + t^4.327 + 3*t^4.448 + t^4.776 + t^4.939 + 2*t^5.224 + t^5.388 + t^5.552 + t^5.673 + t^5.715 + t^5.836 - 2*t^6. - t^4.388/y - t^4.388*y | detail | |
| 6380 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6805 | 0.8573 | 0.7937 | [X:[1.3333], M:[1.1382, 0.7479, 1.0243, 0.8618, 1.1382, 0.6667, 0.8618, 0.9757, 0.7806], q:[0.4879, 0.3739], qb:[0.4879, 0.7642], phi:[0.4715]] | t^2.244 + t^2.342 + 2*t^2.585 + t^2.829 + t^2.927 + t^3.415 + t^3.756 + 2*t^4. + 3*t^4.342 + t^4.487 + t^4.585 + t^4.683 + 2*t^4.829 + 2*t^4.927 + t^5.073 + 5*t^5.171 + t^5.269 + 2*t^5.415 + 2*t^5.513 + 2*t^5.756 + t^5.854 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 6381 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6835 | 0.8629 | 0.7921 | [X:[1.3333], M:[1.1292, 0.7208, 0.9792, 0.8708, 1.1292, 0.6667, 0.8708, 1.0208, 0.7208], q:[0.5104, 0.3604], qb:[0.5104, 0.7687], phi:[0.4625]] | 2*t^2.163 + 2*t^2.612 + t^2.775 + t^3.062 + t^3.388 + t^3.55 + 2*t^4. + 3*t^4.325 + 3*t^4.45 + 4*t^4.775 + 2*t^4.938 + 5*t^5.225 + 2*t^5.388 + t^5.55 + 2*t^5.675 + 2*t^5.713 + t^5.837 - 3*t^6. - t^4.388/y - t^4.388*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2637 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.013, 0.7766, 0.9542, 0.8354, 1.1646, 0.7172, 0.8354, 1.0458], q:[0.5987, 0.3883], qb:[0.4471, 0.7763], phi:[0.4474]] | t^2.152 + t^2.33 + 2*t^2.506 + t^2.684 + t^3.039 + t^3.137 + t^3.672 + t^4.025 + t^4.125 + 2*t^4.303 + t^4.48 + t^4.481 + 2*t^4.658 + t^4.66 + 3*t^4.836 + t^4.934 + 3*t^5.012 + t^5.014 + 3*t^5.191 + t^5.289 + t^5.369 + t^5.467 + t^5.545 + 2*t^5.644 + t^5.723 + t^5.822 - 3*t^6. - t^4.342/y - t^4.342*y | detail |