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 |
|---|---|---|---|---|---|---|---|---|---|
| 4779 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$ | 0.6591 | 0.8181 | 0.8057 | [X:[1.3333], M:[1.1231, 0.7025, 0.9486, 0.8769, 1.1231, 1.0872, 0.6667, 0.8769], q:[0.5257, 0.3512], qb:[0.5257, 0.7718], phi:[0.4564]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [4], [0], [2]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$ | ${}M_{1}M_{8}$ | -2 | t^2.107 + 2*t^2.631 + t^2.846 + t^3.262 + t^3.369 + t^3.477 + t^3.893 + 2*t^4. + t^4.215 + 3*t^4.523 + 2*t^4.738 + t^4.953 + 3*t^5.262 + t^5.369 + t^5.477 + t^5.584 + t^5.692 + 2*t^5.893 - 2*t^6. + 4*t^6.107 + t^6.215 + 2*t^6.322 + 5*t^6.631 + 3*t^6.846 + t^6.953 + t^7.061 + 5*t^7.154 + 3*t^7.369 + 3*t^7.477 + t^7.584 + t^7.692 + t^7.785 + t^7.799 + 3*t^7.893 + 4*t^8. - 3*t^8.107 + 4*t^8.215 + t^8.322 + t^8.416 + 2*t^8.43 + 5*t^8.523 + t^8.537 - 7*t^8.631 + 6*t^8.738 - 2*t^8.846 + 3*t^8.953 - t^4.369/y - t^6.477/y - t^7.215/y + t^7.523/y + (2*t^7.738)/y + t^7.953/y + (2*t^8.262)/y + t^8.369/y + (3*t^8.477)/y + (2*t^8.893)/y - t^4.369*y - t^6.477*y - t^7.215*y + t^7.523*y + 2*t^7.738*y + t^7.953*y + 2*t^8.262*y + t^8.369*y + 3*t^8.477*y + 2*t^8.893*y | t^2.107/g1^6 + 2*g1^2*t^2.631 + t^2.846/g1^10 + g1^4*t^3.262 + t^3.369/g1^2 + t^3.477/g1^8 + g1^6*t^3.893 + 2*t^4. + t^4.215/g1^12 + 3*g1^8*t^4.523 + (2*t^4.738)/g1^4 + t^4.953/g1^16 + 3*g1^4*t^5.262 + t^5.369/g1^2 + t^5.477/g1^8 + t^5.584/g1^14 + t^5.692/g1^20 + 2*g1^6*t^5.893 - 2*t^6. + (4*t^6.107)/g1^6 + t^6.215/g1^12 + (2*t^6.322)/g1^18 + 5*g1^2*t^6.631 + (3*t^6.846)/g1^10 + t^6.953/g1^16 + t^7.061/g1^22 + 5*g1^10*t^7.154 + (3*t^7.369)/g1^2 + (3*t^7.477)/g1^8 + t^7.584/g1^14 + t^7.692/g1^20 + g1^12*t^7.785 + t^7.799/g1^26 + 3*g1^6*t^7.893 + 4*t^8. - (3*t^8.107)/g1^6 + (4*t^8.215)/g1^12 + t^8.322/g1^18 + g1^14*t^8.416 + (2*t^8.43)/g1^24 + 5*g1^8*t^8.523 + t^8.537/g1^30 - 7*g1^2*t^8.631 + (6*t^8.738)/g1^4 - (2*t^8.846)/g1^10 + (3*t^8.953)/g1^16 - t^4.369/(g1^2*y) - t^6.477/(g1^8*y) - t^7.215/(g1^12*y) + (g1^8*t^7.523)/y + (2*t^7.738)/(g1^4*y) + t^7.953/(g1^16*y) + (2*g1^4*t^8.262)/y + t^8.369/(g1^2*y) + (3*t^8.477)/(g1^8*y) + (2*g1^6*t^8.893)/y - (t^4.369*y)/g1^2 - (t^6.477*y)/g1^8 - (t^7.215*y)/g1^12 + g1^8*t^7.523*y + (2*t^7.738*y)/g1^4 + (t^7.953*y)/g1^16 + 2*g1^4*t^8.262*y + (t^8.369*y)/g1^2 + (3*t^8.477*y)/g1^8 + 2*g1^6*t^8.893*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 |
|---|---|---|---|---|---|---|---|---|
| 6399 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$ + ${ }M_{1}M_{9}$ | 0.6702 | 0.8369 | 0.8008 | [X:[1.3333], M:[1.1254, 0.7096, 0.9605, 0.8746, 1.1254, 1.0825, 0.6667, 0.8746, 0.8746], q:[0.5198, 0.3548], qb:[0.5198, 0.7706], phi:[0.4588]] | t^2.129 + 3*t^2.624 + t^2.881 + t^3.247 + t^3.505 + t^3.871 + 2*t^4. + t^4.258 + 3*t^4.495 + 3*t^4.753 + t^5.01 + 6*t^5.247 + t^5.376 + t^5.505 + t^5.634 + t^5.763 + 3*t^5.871 - 4*t^6. - t^4.376/y - t^4.376*y | detail | |
| 6398 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6482 | 0.7998 | 0.8105 | [X:[1.3333], M:[1.1207, 0.6953, 0.9367, 0.8793, 1.1207, 1.092, 0.6667, 0.8793, 1.1207], q:[0.5317, 0.3477], qb:[0.5317, 0.773], phi:[0.454]] | t^2.086 + t^2.638 + t^2.81 + t^3.276 + 2*t^3.362 + t^3.448 + t^3.914 + 2*t^4. + t^4.172 + 3*t^4.552 + t^4.724 + t^4.896 + t^5.276 + t^5.362 + t^5.448 + t^5.534 + t^5.62 + t^5.914 - 2*t^6. - t^4.362/y - t^4.362*y | detail | |
| 6400 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.674 | 0.8443 | 0.7983 | [X:[1.3333], M:[1.1307, 0.7253, 0.9866, 0.8693, 1.1307, 1.072, 0.6667, 0.8693, 0.8107], q:[0.5067, 0.3627], qb:[0.5067, 0.768], phi:[0.464]] | t^2.176 + t^2.432 + 2*t^2.608 + t^2.96 + t^3.216 + t^3.392 + t^3.824 + 2*t^4. + t^4.352 + 3*t^4.432 + t^4.608 + 2*t^4.784 + t^4.864 + 2*t^5.04 + t^5.136 + 3*t^5.216 + 2*t^5.392 + t^5.568 + t^5.648 + 3*t^5.824 + t^5.92 - 2*t^6. - t^4.392/y - t^4.392*y | detail | |
| 6401 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6796 | 0.8576 | 0.7925 | [X:[1.3333], M:[1.1216, 0.698, 0.9412, 0.8784, 1.1216, 1.0902, 0.6667, 0.8784, 0.698], q:[0.5294, 0.349], qb:[0.5294, 0.7725], phi:[0.4549]] | 2*t^2.094 + 2*t^2.635 + t^2.824 + t^3.271 + t^3.365 + t^3.459 + 2*t^4. + 3*t^4.188 + 3*t^4.541 + 4*t^4.729 + 2*t^4.918 + 3*t^5.271 + 2*t^5.365 + 2*t^5.459 + 2*t^5.553 + t^5.647 + 2*t^5.906 - 3*t^6. - t^4.365/y - t^4.365*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2648 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.6916 | 0.8693 | 0.7956 | [M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. - t^4.314/y - t^4.314*y | detail |