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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-10]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. + 3*t^6.111 - t^6.187 + 4*t^6.298 - t^6.373 + 6*t^6.484 + 4*t^6.671 + t^6.707 + 4*t^6.858 + 2*t^6.894 - t^6.969 + 2*t^7.044 + 4*t^7.08 - t^7.155 + t^7.231 + 5*t^7.267 + t^7.378 + 4*t^7.453 + 2*t^7.565 + 3*t^7.64 + 4*t^7.751 + 2*t^7.827 + 5*t^7.938 + 2*t^8.013 - 2*t^8.049 + 5*t^8.124 + t^8.16 + t^8.2 - 4*t^8.236 + 4*t^8.311 + 3*t^8.347 + t^8.386 - 8*t^8.422 + 3*t^8.498 + 7*t^8.534 - 7*t^8.609 + 2*t^8.684 + 8*t^8.72 - 6*t^8.795 + t^8.871 + 10*t^8.907 + t^8.943 - 2*t^8.982 - t^4.453/y - t^6.689/y - t^6.876/y + (2*t^7.658)/y + (2*t^7.845)/y + (4*t^8.031)/y + (3*t^8.218)/y + t^8.329/y + t^8.404/y + (2*t^8.516)/y + t^8.627/y + t^8.702/y + (2*t^8.813)/y + t^8.889/y - t^4.453*y - t^6.689*y - t^6.876*y + 2*t^7.658*y + 2*t^7.845*y + 4*t^8.031*y + 3*t^8.218*y + t^8.329*y + t^8.404*y + 2*t^8.516*y + t^8.627*y + t^8.702*y + 2*t^8.813*y + t^8.889*y | t^2.236/g1^34 + (2*t^2.422)/g1^10 + g1^14*t^2.609 + g1^38*t^2.795 + g1^12*t^3.093 + t^3.391/g1^14 + t^3.689/g1^40 + t^3.876/g1^16 + 2*g1^8*t^4.062 + g1^32*t^4.249 + g1^56*t^4.435 + t^4.471/g1^68 + (2*t^4.658)/g1^44 + (4*t^4.845)/g1^20 + 3*g1^4*t^5.031 + 3*g1^28*t^5.218 + t^5.329/g1^22 + g1^52*t^5.404 + 2*g1^2*t^5.516 + g1^76*t^5.591 + g1^26*t^5.702 + g1^50*t^5.889 + t^5.925/g1^74 - 2*t^6. + (3*t^6.111)/g1^50 - g1^24*t^6.187 + (4*t^6.298)/g1^26 - g1^48*t^6.373 + (6*t^6.484)/g1^2 + 4*g1^22*t^6.671 + t^6.707/g1^102 + 4*g1^46*t^6.858 + (2*t^6.894)/g1^78 - t^6.969/g1^4 + 2*g1^70*t^7.044 + (4*t^7.08)/g1^54 - g1^20*t^7.155 + g1^94*t^7.231 + (5*t^7.267)/g1^30 + t^7.378/g1^80 + (4*t^7.453)/g1^6 + (2*t^7.565)/g1^56 + 3*g1^18*t^7.64 + (4*t^7.751)/g1^32 + 2*g1^42*t^7.827 + (5*t^7.938)/g1^8 + 2*g1^66*t^8.013 - (2*t^8.049)/g1^58 + 5*g1^16*t^8.124 + t^8.16/g1^108 + g1^90*t^8.2 - (4*t^8.236)/g1^34 + 4*g1^40*t^8.311 + (3*t^8.347)/g1^84 + g1^114*t^8.386 - (8*t^8.422)/g1^10 + 3*g1^64*t^8.498 + (7*t^8.534)/g1^60 - 7*g1^14*t^8.609 + 2*g1^88*t^8.684 + (8*t^8.72)/g1^36 - 6*g1^38*t^8.795 + g1^112*t^8.871 + (10*t^8.907)/g1^12 + t^8.943/g1^136 - 2*g1^62*t^8.982 - t^4.453/(g1^6*y) - t^6.689/(g1^40*y) - t^6.876/(g1^16*y) + (2*t^7.658)/(g1^44*y) + (2*t^7.845)/(g1^20*y) + (4*g1^4*t^8.031)/y + (3*g1^28*t^8.218)/y + t^8.329/(g1^22*y) + (g1^52*t^8.404)/y + (2*g1^2*t^8.516)/y + t^8.627/(g1^48*y) + (g1^26*t^8.702)/y + (2*t^8.813)/(g1^24*y) + (g1^50*t^8.889)/y - (t^4.453*y)/g1^6 - (t^6.689*y)/g1^40 - (t^6.876*y)/g1^16 + (2*t^7.658*y)/g1^44 + (2*t^7.845*y)/g1^20 + 4*g1^4*t^8.031*y + 3*g1^28*t^8.218*y + (t^8.329*y)/g1^22 + g1^52*t^8.404*y + 2*g1^2*t^8.516*y + (t^8.627*y)/g1^48 + g1^26*t^8.702*y + (2*t^8.813*y)/g1^24 + g1^50*t^8.889*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 |
|---|---|---|---|---|---|---|---|---|
| 4365 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6674 | 0.8447 | 0.79 | [M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 0.8108], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + 2*t^2.432 + t^2.595 + t^2.757 + t^3.081 + t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 4*t^4.865 + 3*t^5.027 + 3*t^5.189 + 2*t^5.351 + 3*t^5.514 + t^5.676 + t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 540873/810448, c: 342309/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 30/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 4367 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.6562 | 0.8258 | 0.7946 | [M:[0.7323, 1.0357, 1.1964, 1.125, 0.8036, 0.875, 0.8036, 1.125], q:[0.5088, 0.7589], qb:[0.3661, 0.4375], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.839 + t^3.107 + 2*t^3.375 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.285 + t^4.394 + t^4.499 + 2*t^4.608 + 3*t^4.822 + t^5.036 + 2*t^5.25 + t^5.304 + 2*t^5.518 + t^5.572 + t^5.678 + 2*t^5.786 + t^5.84 + t^5.946 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 4372 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6879 | 0.8837 | 0.7785 | [M:[0.7491, 1.0297, 1.1914, 1.132, 0.8086, 0.868, 0.8086, 0.7063], q:[0.4935, 0.7574], qb:[0.3745, 0.434], 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 | |
| 4370 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6862 | 0.8793 | 0.7804 | [M:[0.7638, 1.0246, 1.1871, 1.138, 0.8129, 0.862, 0.8129, 0.7485], q:[0.4801, 0.7561], qb:[0.3819, 0.431], phi:[0.4877]] | t^2.246 + t^2.291 + 2*t^2.439 + t^2.586 + t^2.733 + t^3.074 + t^3.414 + t^3.902 + 2*t^4.049 + t^4.196 + t^4.344 + t^4.491 + t^4.537 + t^4.583 + 2*t^4.684 + 2*t^4.73 + t^4.832 + 4*t^4.877 + t^4.979 + 3*t^5.025 + 3*t^5.172 + 2*t^5.319 + t^5.365 + t^5.467 + 2*t^5.512 + 2*t^5.66 + t^5.807 - 2*t^6. - t^4.463/y - t^4.463*y | detail | |
| 4368 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6633 | 0.8395 | 0.7902 | [M:[0.7043, 1.0455, 1.2046, 1.1136, 0.7954, 0.8864, 0.7954, 1.0225], q:[0.5343, 0.7614], qb:[0.3522, 0.4432], phi:[0.4772]] | t^2.113 + 2*t^2.386 + t^2.659 + t^3.067 + t^3.137 + t^3.341 + t^3.545 + t^3.818 + 2*t^4.091 + t^4.226 + t^4.364 + 2*t^4.499 + t^4.637 + 4*t^4.772 + 2*t^5.046 + t^5.18 + t^5.25 + t^5.319 + 2*t^5.454 + 2*t^5.523 + t^5.658 + t^5.727 + t^5.796 + 3*t^5.931 - 2*t^6. - t^4.432/y - t^4.432*y | detail | |
| 4364 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6628 | 0.8404 | 0.7886 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^2.684 + t^3. + t^3.158 + t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 5*t^4.737 + 3*t^5.053 + t^5.211 + 3*t^5.368 + 3*t^5.526 + t^5.684 + 4*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 36369/54872, c: 11529/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. - t^4.449/y - t^4.449*y | detail |