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 |
|---|---|---|---|---|---|---|---|---|---|
| 700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | [M:[[13], [-4], [5], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}M_{5}q_{1}q_{2}$ | 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 | g1^3*t^2.052 + t^2.579/g1^5 + g1^4*t^2.737 + g1^13*t^2.894 + t^3.263/g1^4 + g1^5*t^3.421 + g1^14*t^3.578 + t^3.79/g1^12 + t^3.948/g1^3 + 2*g1^6*t^4.105 + t^4.317/g1^20 + t^4.474/g1^11 + (2*t^4.632)/g1^2 + g1^7*t^4.789 + g1^16*t^4.946 + t^5.158/g1^10 + (2*t^5.316)/g1 + 2*g1^8*t^5.473 + g1^17*t^5.631 + g1^26*t^5.788 + t^5.843/g1^9 + 3*g1^9*t^6.157 + 2*g1^18*t^6.315 + t^6.369/g1^17 + g1^27*t^6.472 + t^6.527/g1^8 + 3*g1*t^6.684 + 2*g1^10*t^6.842 + t^6.896/g1^25 + 2*g1^19*t^6.999 + (2*t^7.054)/g1^16 + g1^28*t^7.156 + (2*t^7.211)/g1^7 + 3*g1^2*t^7.368 + 3*g1^11*t^7.526 + t^7.58/g1^24 + 2*g1^20*t^7.683 + t^7.738/g1^15 + g1^29*t^7.84 + (2*t^7.895)/g1^6 + g1^3*t^8.052 + t^8.107/g1^32 + 4*g1^12*t^8.21 + t^8.265/g1^23 + 2*g1^21*t^8.367 + t^8.422/g1^14 + g1^30*t^8.525 - t^8.579/g1^5 + t^8.634/g1^40 + g1^39*t^8.682 + 2*g1^4*t^8.737 + t^8.791/g1^31 + (2*t^8.949)/g1^22 - (g1^2*t^4.368)/y - (g1^5*t^6.421)/y - (g1^15*t^7.262)/y + t^7.474/(g1^11*y) + t^7.632/(g1^2*y) + (g1^7*t^7.789)/y + (g1^16*t^7.946)/y + (3*t^8.316)/(g1*y) + (g1^8*t^8.473)/y + (2*g1^17*t^8.631)/y + (2*t^8.843)/(g1^9*y) - g1^2*t^4.368*y - g1^5*t^6.421*y - g1^15*t^7.262*y + (t^7.474*y)/g1^11 + (t^7.632*y)/g1^2 + g1^7*t^7.789*y + g1^16*t^7.946*y + (3*t^8.316*y)/g1 + g1^8*t^8.473*y + 2*g1^17*t^8.631*y + (2*t^8.843*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1134 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.661 | 0.8205 | 0.8057 | [M:[1.0148, 1.0724, 1.1596, 0.8404, 0.6957, 0.9852], q:[0.7681, 0.5362], qb:[0.449, 0.3915], phi:[0.4638]] | t^2.087 + t^2.521 + t^2.783 + t^2.955 + t^3.217 + t^3.479 + t^3.651 + t^3.74 + t^3.913 + t^4.085 + 2*t^4.174 + t^4.347 + 2*t^4.609 + t^4.87 + 2*t^5.043 + 2*t^5.304 + t^5.477 + t^5.566 + 2*t^5.738 + t^5.911 - t^4.391/y - t^4.391*y | detail | |
| 1137 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], 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: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| 1136 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6702 | 0.8351 | 0.8025 | [M:[0.9504, 1.0922, 1.1348, 0.8652, 0.6809, 0.9078], q:[0.773, 0.5461], qb:[0.5035, 0.3617], 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: 134/141, M2: 154/141, M3: 160/141, M4: 122/141, M5: 32/47, M6: 128/141, q1: 109/141, q2: 77/141, qb1: 71/141, qb2: 17/47, phi1: 64/141} |
| 1138 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6746 | 0.8426 | 0.8006 | [M:[0.9803, 1.083, 1.1463, 0.8537, 0.6878, 0.8537], q:[0.7707, 0.5415], qb:[0.4782, 0.3755], 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 | |
| 1139 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.679 | 0.8518 | 0.7972 | [M:[0.9942, 1.0787, 1.1516, 0.8484, 0.691, 0.7754], q:[0.7697, 0.5393], qb:[0.4664, 0.382], 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 | |
| 1133 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6541 | 0.8078 | 0.8098 | [M:[0.9792, 1.0833, 1.1458, 0.8542, 0.6875, 1.0833], q:[0.7708, 0.5417], qb:[0.4792, 0.375], 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: 47/48, M2: 13/12, M3: 55/48, M4: 41/48, M5: 11/16, M6: 13/12, q1: 37/48, q2: 13/24, qb1: 23/48, qb2: 3/8, phi1: 11/24} |
| 1977 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6827 | 0.8615 | 0.7925 | [M:[0.9635, 1.0882, 1.1398, 0.8602, 0.6839, 0.6839], q:[0.772, 0.5441], qb:[0.4924, 0.3678], 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 | |
| 1135 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6818 | 0.8582 | 0.7944 | [M:[0.9502, 1.0922, 1.1347, 0.8653, 0.6808, 0.7233], q:[0.7731, 0.5461], qb:[0.5037, 0.3616], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 421 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[0.9659, 1.0874, 1.1407, 0.8593], q:[0.7719, 0.5437], qb:[0.4904, 0.3689], 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 |