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 |
|---|---|---|---|---|---|---|---|---|---|
| 46814 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[1.1403, 0.9647, 1.0878, 0.8597, 0.6842], q:[0.4914, 0.3683], qb:[0.5439, 0.7719], phi:[0.4561]] | [M:[[-5], [-13], [4], [5], [-3]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}q_{2}$ | 0 | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 + 3*t^6.157 + 2*t^6.315 + t^6.369 + t^6.472 + t^6.527 + 3*t^6.684 + 2*t^6.842 + t^6.896 + 2*t^6.999 + 2*t^7.054 + t^7.156 + 2*t^7.211 + 3*t^7.368 + 3*t^7.526 + t^7.58 + 2*t^7.683 + t^7.738 + t^7.84 + 2*t^7.895 + t^8.052 + t^8.107 + 4*t^8.21 + t^8.265 + 2*t^8.367 + t^8.422 + t^8.525 - t^8.579 + t^8.634 + t^8.682 + 2*t^8.737 + t^8.791 + 2*t^8.949 - t^4.368/y - t^6.421/y - t^7.262/y + t^7.474/y + t^7.632/y + t^7.789/y + t^7.946/y + (3*t^8.316)/y + t^8.473/y + (2*t^8.631)/y + (2*t^8.843)/y - t^4.368*y - t^6.421*y - t^7.262*y + t^7.474*y + t^7.632*y + t^7.789*y + t^7.946*y + 3*t^8.316*y + t^8.473*y + 2*t^8.631*y + 2*t^8.843*y | t^2.052/g1^3 + g1^5*t^2.579 + t^2.737/g1^4 + t^2.894/g1^13 + g1^4*t^3.263 + t^3.421/g1^5 + t^3.578/g1^14 + g1^12*t^3.79 + g1^3*t^3.948 + (2*t^4.105)/g1^6 + g1^20*t^4.317 + g1^11*t^4.474 + 2*g1^2*t^4.632 + t^4.789/g1^7 + t^4.946/g1^16 + g1^10*t^5.158 + 2*g1*t^5.316 + (2*t^5.473)/g1^8 + t^5.631/g1^17 + t^5.788/g1^26 + g1^9*t^5.843 + (3*t^6.157)/g1^9 + (2*t^6.315)/g1^18 + g1^17*t^6.369 + t^6.472/g1^27 + g1^8*t^6.527 + (3*t^6.684)/g1 + (2*t^6.842)/g1^10 + g1^25*t^6.896 + (2*t^6.999)/g1^19 + 2*g1^16*t^7.054 + t^7.156/g1^28 + 2*g1^7*t^7.211 + (3*t^7.368)/g1^2 + (3*t^7.526)/g1^11 + g1^24*t^7.58 + (2*t^7.683)/g1^20 + g1^15*t^7.738 + t^7.84/g1^29 + 2*g1^6*t^7.895 + t^8.052/g1^3 + g1^32*t^8.107 + (4*t^8.21)/g1^12 + g1^23*t^8.265 + (2*t^8.367)/g1^21 + g1^14*t^8.422 + t^8.525/g1^30 - g1^5*t^8.579 + g1^40*t^8.634 + t^8.682/g1^39 + (2*t^8.737)/g1^4 + g1^31*t^8.791 + 2*g1^22*t^8.949 - t^4.368/(g1^2*y) - t^6.421/(g1^5*y) - t^7.262/(g1^15*y) + (g1^11*t^7.474)/y + (g1^2*t^7.632)/y + t^7.789/(g1^7*y) + t^7.946/(g1^16*y) + (3*g1*t^8.316)/y + t^8.473/(g1^8*y) + (2*t^8.631)/(g1^17*y) + (2*g1^9*t^8.843)/y - (t^4.368*y)/g1^2 - (t^6.421*y)/g1^5 - (t^7.262*y)/g1^15 + g1^11*t^7.474*y + g1^2*t^7.632*y + (t^7.789*y)/g1^7 + (t^7.946*y)/g1^16 + 3*g1*t^8.316*y + (t^8.473*y)/g1^8 + (2*t^8.631*y)/g1^17 + 2*g1^9*t^8.843*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 |
|---|---|---|---|---|---|---|---|---|
| 55094 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6746 | 0.8426 | 0.8006 | [M:[1.1463, 0.9803, 1.083, 0.8537, 0.6878, 0.8537], q:[0.4782, 0.3755], qb:[0.5415, 0.7707], phi:[0.4585]] | t^2.063 + 2*t^2.561 + t^2.751 + t^2.941 + t^3.249 + t^3.629 + t^3.747 + t^3.937 + 2*t^4.127 + t^4.245 + t^4.435 + 3*t^4.624 + t^4.814 + t^5.004 + 3*t^5.122 + 3*t^5.312 + 2*t^5.502 + t^5.692 + 2*t^5.81 + t^5.882 - t^6. - t^4.376/y - t^4.376*y | detail | |
| 51737 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.1765, 1.0588, 1.0588, 0.8235, 0.7059], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | t^2.118 + t^2.471 + t^2.824 + 2*t^3.176 + 2*t^3.529 + 3*t^3.882 + 3*t^4.235 + 2*t^4.588 + 2*t^4.941 + 3*t^5.294 + 3*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 51387/78608, c: 31907/39304, M1: 20/17, M2: 18/17, M3: 18/17, M4: 14/17, M5: 12/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
| 52640 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ | 0.6608 | 0.8195 | 0.8064 | [M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.077 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + 2*t^3.692 + t^3.923 + 3*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + 2*t^5.077 + 2*t^5.308 + 2*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 23229/35152, c: 14403/17576, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 55388 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6702 | 0.8351 | 0.8025 | [M:[1.1348, 0.9504, 1.0922, 0.8652, 0.6809, 0.9078], q:[0.5035, 0.3617], qb:[0.5461, 0.773], phi:[0.4539]] | t^2.043 + t^2.596 + 2*t^2.723 + t^2.851 + t^3.404 + t^3.532 + t^3.83 + t^3.957 + 2*t^4.085 + t^4.383 + t^4.511 + 2*t^4.638 + 2*t^4.766 + t^4.894 + t^5.191 + 2*t^5.319 + 4*t^5.447 + 2*t^5.574 + t^5.702 - t^6. - t^4.362/y - t^4.362*y | detail | {a: 63/94, c: 157/188, M1: 160/141, M2: 134/141, M3: 154/141, M4: 122/141, M5: 32/47, M6: 128/141, q1: 71/141, q2: 17/47, qb1: 77/141, qb2: 109/141, phi1: 64/141} |
| 55261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6827 | 0.8615 | 0.7925 | [M:[1.1398, 0.9635, 1.0882, 0.8602, 0.6839, 0.6839], q:[0.4924, 0.3678], qb:[0.5441, 0.772], phi:[0.4559]] | 2*t^2.052 + t^2.581 + t^2.736 + t^2.89 + t^3.264 + t^3.419 + t^3.574 + t^3.793 + 4*t^4.103 + t^4.322 + t^4.477 + 3*t^4.632 + 2*t^4.787 + 2*t^4.942 + t^5.161 + 3*t^5.316 + 3*t^5.471 + 2*t^5.626 + t^5.781 + 2*t^5.845 - t^6. - t^4.368/y - t^4.368*y | detail | |
| 54072 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.679 | 0.8518 | 0.7972 | [M:[1.1516, 0.9942, 1.0787, 0.8484, 0.691, 0.7754], q:[0.4664, 0.382], qb:[0.5393, 0.7697], phi:[0.4607]] | t^2.073 + t^2.326 + t^2.545 + t^2.764 + t^2.983 + t^3.236 + t^3.455 + t^3.708 + t^3.927 + 2*t^4.146 + t^4.18 + 2*t^4.399 + 2*t^4.618 + t^4.653 + t^4.837 + t^4.871 + t^5.056 + 2*t^5.09 + 3*t^5.309 + 2*t^5.528 + t^5.562 + 2*t^5.781 + t^5.965 - t^4.382/y - t^4.382*y | detail | |
| 50803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6541 | 0.8078 | 0.8098 | [M:[1.1458, 0.9792, 1.0833, 0.8542, 0.6875, 1.0833], q:[0.4792, 0.375], qb:[0.5417, 0.7708], phi:[0.4583]] | t^2.063 + t^2.563 + t^2.938 + 2*t^3.25 + t^3.438 + t^3.625 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.25 + t^4.438 + 2*t^4.625 + t^5. + t^5.125 + 2*t^5.313 + t^5.5 + 2*t^5.813 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 4019/6144, c: 4963/6144, M1: 55/48, M2: 47/48, M3: 13/12, M4: 41/48, M5: 11/16, M6: 13/12, q1: 23/48, q2: 3/8, qb1: 13/24, qb2: 37/48, phi1: 11/24} |
| 53979 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6818 | 0.8582 | 0.7944 | [M:[1.1347, 0.9502, 1.0922, 0.8653, 0.6808, 0.7233], q:[0.5037, 0.3616], qb:[0.5461, 0.7731], phi:[0.4539]] | t^2.042 + t^2.17 + t^2.596 + t^2.723 + t^2.851 + t^3.277 + t^3.404 + t^3.531 + t^3.958 + 2*t^4.085 + t^4.212 + t^4.34 + t^4.384 + t^4.511 + 2*t^4.638 + 2*t^4.766 + 2*t^4.893 + t^5.02 + t^5.192 + 2*t^5.319 + 3*t^5.447 + 2*t^5.574 + 2*t^5.701 - t^4.362/y - t^4.362*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[1.1407, 0.9659, 1.0874, 0.8593], q:[0.4904, 0.3689], qb:[0.5437, 0.7719], phi:[0.4563]] | t^2.578 + t^2.738 + t^2.898 + t^3.262 + t^3.422 + t^3.582 + t^3.787 + 2*t^3.947 + t^4.107 + t^4.311 + t^4.471 + t^4.631 + t^5.156 + t^5.316 + t^5.475 + t^5.795 - t^6. - t^4.369/y - t^4.369*y | detail |