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 |
|---|---|---|---|---|---|---|---|---|---|
| 56069 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6909 | 0.8885 | 0.7776 | [M:[0.8731, 1.1951, 1.1269, 0.7368, 0.8049, 0.8049, 0.7121], q:[0.3684, 0.7585], qb:[0.4365, 0.5047], phi:[0.483]] | [M:[[14], [10], [-14], [-34], [-10], [-10], [16]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.136 + t^2.21 + 2*t^2.415 + t^2.619 + t^2.824 + t^2.898 + t^3.381 + t^3.659 + 2*t^4.068 + 2*t^4.273 + t^4.347 + t^4.421 + t^4.477 + 2*t^4.551 + 2*t^4.625 + t^4.756 + 4*t^4.83 + t^4.96 + 4*t^5.034 + t^5.108 + 3*t^5.238 + 2*t^5.313 + t^5.443 + 2*t^5.517 + t^5.647 + t^5.721 + 2*t^5.796 + t^5.87 - 2*t^6. + 2*t^6.074 + 3*t^6.279 + t^6.409 + 5*t^6.483 + 2*t^6.557 + t^6.613 + t^6.631 + 5*t^6.687 + t^6.762 + 2*t^6.836 + 5*t^6.892 + 4*t^6.966 + 4*t^7.04 + 3*t^7.096 + 2*t^7.17 + 5*t^7.244 + t^7.301 + 2*t^7.319 + 3*t^7.375 + 6*t^7.449 + 2*t^7.523 + 5*t^7.653 + 5*t^7.727 + t^7.784 + 3*t^7.858 + 4*t^7.932 + 2*t^8.062 + t^8.08 + 2*t^8.136 + t^8.267 + 2*t^8.285 + t^8.341 - 5*t^8.415 + t^8.471 + 5*t^8.489 + 4*t^8.545 - 3*t^8.619 + 7*t^8.693 + 2*t^8.749 + 2*t^8.768 - 2*t^8.824 + t^8.842 + 6*t^8.898 + t^8.954 + 3*t^8.972 - t^4.449/y - t^6.585/y - t^6.659/y - t^6.864/y + (3*t^7.551)/y + (2*t^7.625)/y + t^7.756/y + (2*t^7.83)/y + t^7.96/y + (5*t^8.034)/y + t^8.108/y + (3*t^8.238)/y + (3*t^8.313)/y + t^8.443/y + (2*t^8.517)/y + t^8.591/y + (2*t^8.796)/y - t^4.449*y - t^6.585*y - t^6.659*y - t^6.864*y + 3*t^7.551*y + 2*t^7.625*y + t^7.756*y + 2*t^7.83*y + t^7.96*y + 5*t^8.034*y + t^8.108*y + 3*t^8.238*y + 3*t^8.313*y + t^8.443*y + 2*t^8.517*y + t^8.591*y + 2*t^8.796*y | g1^16*t^2.136 + t^2.21/g1^34 + (2*t^2.415)/g1^10 + g1^14*t^2.619 + g1^38*t^2.824 + t^2.898/g1^12 + t^3.381/g1^14 + t^3.659/g1^40 + 2*g1^8*t^4.068 + 2*g1^32*t^4.273 + t^4.347/g1^18 + t^4.421/g1^68 + g1^56*t^4.477 + 2*g1^6*t^4.551 + (2*t^4.625)/g1^44 + g1^30*t^4.756 + (4*t^4.83)/g1^20 + g1^54*t^4.96 + 4*g1^4*t^5.034 + t^5.108/g1^46 + 3*g1^28*t^5.238 + (2*t^5.313)/g1^22 + g1^52*t^5.443 + 2*g1^2*t^5.517 + g1^76*t^5.647 + g1^26*t^5.721 + (2*t^5.796)/g1^24 + t^5.87/g1^74 - 2*t^6. + (2*t^6.074)/g1^50 + (3*t^6.279)/g1^26 + g1^48*t^6.409 + (5*t^6.483)/g1^2 + (2*t^6.557)/g1^52 + g1^72*t^6.613 + t^6.631/g1^102 + 5*g1^22*t^6.687 + t^6.762/g1^28 + (2*t^6.836)/g1^78 + 5*g1^46*t^6.892 + (4*t^6.966)/g1^4 + (4*t^7.04)/g1^54 + 3*g1^70*t^7.096 + 2*g1^20*t^7.17 + (5*t^7.244)/g1^30 + g1^94*t^7.301 + (2*t^7.319)/g1^80 + 3*g1^44*t^7.375 + (6*t^7.449)/g1^6 + (2*t^7.523)/g1^56 + 5*g1^18*t^7.653 + (5*t^7.727)/g1^32 + g1^92*t^7.784 + 3*g1^42*t^7.858 + (4*t^7.932)/g1^8 + 2*g1^66*t^8.062 + t^8.08/g1^108 + 2*g1^16*t^8.136 + g1^90*t^8.267 + (2*t^8.285)/g1^84 + g1^40*t^8.341 - (5*t^8.415)/g1^10 + g1^114*t^8.471 + (5*t^8.489)/g1^60 + 4*g1^64*t^8.545 - 3*g1^14*t^8.619 + (7*t^8.693)/g1^36 + 2*g1^88*t^8.749 + (2*t^8.768)/g1^86 - 2*g1^38*t^8.824 + t^8.842/g1^136 + (6*t^8.898)/g1^12 + g1^112*t^8.954 + (3*t^8.972)/g1^62 - t^4.449/(g1^6*y) - (g1^10*t^6.585)/y - t^6.659/(g1^40*y) - t^6.864/(g1^16*y) + (3*g1^6*t^7.551)/y + (2*t^7.625)/(g1^44*y) + (g1^30*t^7.756)/y + (2*t^7.83)/(g1^20*y) + (g1^54*t^7.96)/y + (5*g1^4*t^8.034)/y + t^8.108/(g1^46*y) + (3*g1^28*t^8.238)/y + (3*t^8.313)/(g1^22*y) + (g1^52*t^8.443)/y + (2*g1^2*t^8.517)/y + t^8.591/(g1^48*y) + (2*t^8.796)/(g1^24*y) - (t^4.449*y)/g1^6 - g1^10*t^6.585*y - (t^6.659*y)/g1^40 - (t^6.864*y)/g1^16 + 3*g1^6*t^7.551*y + (2*t^7.625*y)/g1^44 + g1^30*t^7.756*y + (2*t^7.83*y)/g1^20 + g1^54*t^7.96*y + 5*g1^4*t^8.034*y + (t^8.108*y)/g1^46 + 3*g1^28*t^8.238*y + (3*t^8.313*y)/g1^22 + g1^52*t^8.443*y + 2*g1^2*t^8.517*y + (t^8.591*y)/g1^48 + (2*t^8.796*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.6798 | 0.8697 | 0.7816 | [M:[0.8782, 1.1987, 1.1218, 0.7243, 0.8013, 0.8013, 0.718, 1.1218], q:[0.3621, 0.7596], qb:[0.4391, 0.5161], phi:[0.4808]] | t^2.154 + t^2.173 + 2*t^2.404 + t^2.866 + t^2.885 + 2*t^3.365 + t^3.615 + 2*t^4.077 + 2*t^4.308 + t^4.327 + t^4.346 + t^4.539 + 2*t^4.558 + 2*t^4.577 + 3*t^4.808 + t^5.02 + 2*t^5.038 + t^5.057 + 2*t^5.269 + 2*t^5.288 + 2*t^5.519 + t^5.538 + t^5.731 + t^5.75 + 4*t^5.769 + t^5.788 - 3*t^6. - t^4.442/y - t^4.442*y | detail | |
| 58195 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6904 | 0.888 | 0.7774 | [M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 0.8108, 0.7027], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.108 + t^2.27 + 2*t^2.432 + t^2.595 + t^2.757 + t^2.919 + t^3.405 + t^3.73 + 2*t^4.054 + 2*t^4.216 + 2*t^4.378 + 3*t^4.541 + 3*t^4.703 + 5*t^4.865 + 4*t^5.027 + 4*t^5.189 + 3*t^5.351 + 3*t^5.514 + t^5.676 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 559521/810448, c: 359847/405224, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 30/37, M7: 26/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
| 58179 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6145 | 0.7812 | 0.7867 | [X:[1.4815], M:[0.963, 1.2593, 1.037, 0.5185, 0.7407, 0.7407, 0.8148], q:[0.2593, 0.7778], qb:[0.4815, 0.7037], phi:[0.4444]] | 2*t^2.222 + t^2.444 + t^2.667 + 2*t^2.889 + t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 5*t^5.111 + 3*t^5.333 + 4*t^5.556 + 5*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 448/729, c: 1139/1458, X1: 40/27, M1: 26/27, M2: 34/27, M3: 28/27, M4: 14/27, M5: 20/27, M6: 20/27, M7: 22/27, q1: 7/27, q2: 7/9, qb1: 13/27, qb2: 19/27, phi1: 4/9} |
| 58203 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7091 | 0.9219 | 0.7692 | [M:[0.8651, 1.1894, 1.1349, 0.7562, 0.8106, 0.8106, 0.703, 0.7574], q:[0.3781, 0.7568], qb:[0.4325, 0.487], phi:[0.4864]] | t^2.109 + t^2.269 + t^2.272 + 2*t^2.432 + t^2.595 + t^2.759 + t^2.918 + t^3.405 + 2*t^4.054 + 2*t^4.218 + t^4.377 + 2*t^4.381 + t^4.537 + 3*t^4.541 + t^4.545 + 2*t^4.701 + 3*t^4.704 + 4*t^4.864 + 2*t^4.868 + 4*t^5.027 + t^5.031 + t^5.187 + 4*t^5.191 + 2*t^5.35 + t^5.354 + 2*t^5.514 + t^5.517 + 2*t^5.677 + t^5.837 - 2*t^6. - t^4.459/y - t^4.459*y | detail | |
| 58201 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6879 | 0.8837 | 0.7785 | [M:[0.868, 1.1914, 1.132, 0.7491, 0.8086, 0.8086, 0.7063, 1.0297], q:[0.3745, 0.7574], qb:[0.434, 0.4935], phi:[0.4851]] | t^2.119 + t^2.247 + 2*t^2.426 + t^2.604 + t^2.782 + t^3.089 + t^3.396 + t^3.703 + 2*t^4.059 + 2*t^4.238 + t^4.366 + t^4.416 + t^4.494 + 2*t^4.545 + 2*t^4.673 + t^4.723 + 4*t^4.851 + t^4.901 + 3*t^5.03 + 4*t^5.208 + t^5.336 + t^5.387 + 3*t^5.515 + t^5.565 + t^5.693 + t^5.822 + t^5.872 + t^5.95 - 2*t^6. - t^4.455/y - t^4.455*y | detail | |
| 58191 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6872 | 0.8846 | 0.7769 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 0.7895, 0.7368], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.211 + 2*t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + 3*t^4.105 + t^4.263 + 4*t^4.421 + 2*t^4.579 + 5*t^4.737 + 2*t^4.895 + 4*t^5.053 + 3*t^5.211 + 3*t^5.368 + 3*t^5.526 + 3*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 18855/27436, c: 12135/13718, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 15/19, M7: 14/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[0.8749, 1.1963, 1.1251, 0.7324, 0.8037, 0.8037], q:[0.3662, 0.7589], qb:[0.4374, 0.5087], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y | detail |