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 |
---|---|---|---|---|---|---|---|---|---|
50803 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 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]] | [M:[[-5], [-13], [4], [5], [-3], [4]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 | {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} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}M_{5}\phi_{1}q_{1}q_{2}$ | -1 | 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. + 3*t^6.188 + t^6.313 + t^6.375 + 2*t^6.5 + t^6.563 + 3*t^6.688 + t^6.813 + t^6.875 + 2*t^7. + 2*t^7.063 + 2*t^7.188 + t^7.25 + 3*t^7.375 + 2*t^7.5 + 2*t^7.563 + 2*t^7.688 + t^7.75 + 3*t^7.875 + t^7.938 + t^8. - t^8.063 + t^8.188 + 3*t^8.25 + 2*t^8.375 + t^8.438 + t^8.5 + t^8.688 + 3*t^8.75 + t^8.813 + 2*t^8.875 - 3*t^8.938 - t^4.375/y - t^6.438/y + t^7.125/y - t^7.313/y + t^7.438/y + t^8./y + (3*t^8.313)/y + t^8.5/y + t^8.688/y + (3*t^8.813)/y - t^4.375*y - t^6.438*y + t^7.125*y - t^7.313*y + t^7.438*y + t^8.*y + 3*t^8.313*y + t^8.5*y + t^8.688*y + 3*t^8.813*y | t^2.063/g1^3 + g1^5*t^2.563 + t^2.938/g1^13 + 2*g1^4*t^3.25 + t^3.438/g1^5 + t^3.625/g1^14 + g1^12*t^3.75 + g1^3*t^3.938 + (2*t^4.125)/g1^6 + g1^20*t^4.25 + g1^11*t^4.438 + 2*g1^2*t^4.625 + t^5./g1^16 + g1^10*t^5.125 + 2*g1*t^5.313 + t^5.5/g1^8 + 2*g1^9*t^5.813 + t^5.875/g1^26 - t^6. + (3*t^6.188)/g1^9 + g1^17*t^6.313 + t^6.375/g1^18 + 2*g1^8*t^6.5 + t^6.563/g1^27 + (3*t^6.688)/g1 + g1^25*t^6.813 + t^6.875/g1^10 + 2*g1^16*t^7. + (2*t^7.063)/g1^19 + 2*g1^7*t^7.188 + t^7.25/g1^28 + (3*t^7.375)/g1^2 + 2*g1^24*t^7.5 + (2*t^7.563)/g1^11 + 2*g1^15*t^7.688 + t^7.75/g1^20 + 3*g1^6*t^7.875 + t^7.938/g1^29 + g1^32*t^8. - t^8.063/g1^3 + g1^23*t^8.188 + (3*t^8.25)/g1^12 + 2*g1^14*t^8.375 + t^8.438/g1^21 + g1^40*t^8.5 + g1^31*t^8.688 + (3*t^8.75)/g1^4 + t^8.813/g1^39 + 2*g1^22*t^8.875 - (3*t^8.938)/g1^13 - t^4.375/(g1^2*y) - t^6.438/(g1^5*y) + t^7.125/(g1^6*y) - t^7.313/(g1^15*y) + (g1^11*t^7.438)/y + t^8./(g1^16*y) + (3*g1*t^8.313)/y + t^8.5/(g1^8*y) + t^8.688/(g1^17*y) + (3*g1^9*t^8.813)/y - (t^4.375*y)/g1^2 - (t^6.438*y)/g1^5 + (t^7.125*y)/g1^6 - (t^7.313*y)/g1^15 + g1^11*t^7.438*y + (t^8.*y)/g1^16 + 3*g1*t^8.313*y + (t^8.5*y)/g1^8 + (t^8.688*y)/g1^17 + 3*g1^9*t^8.813*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 |
---|---|---|---|---|---|---|---|---|
56216 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6672 | 0.8304 | 0.8034 | [M:[1.1518, 0.9946, 1.0786, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.4661, 0.3821], qb:[0.5393, 0.7696], phi:[0.4607]] | t^2.073 + 2*t^2.545 + t^2.984 + 2*t^3.236 + t^3.675 + t^3.707 + t^3.927 + 2*t^4.146 + t^4.179 + t^4.398 + 3*t^4.618 + t^5.057 + 3*t^5.089 + 2*t^5.309 + t^5.529 + 4*t^5.78 + t^5.968 - 2*t^6. - t^4.382/y - t^4.382*y | detail | |
56215 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6545 | 0.8105 | 0.8076 | [M:[1.1651, 1.0294, 1.0679, 0.8349, 0.6991, 1.0679, 0.9706], q:[0.4367, 0.3982], qb:[0.5339, 0.767], phi:[0.4661]] | t^2.097 + t^2.505 + t^2.912 + 2*t^3.204 + t^3.495 + t^3.611 + t^3.787 + t^3.903 + t^4.018 + 2*t^4.195 + t^4.31 + 2*t^4.602 + 2*t^5.009 + 2*t^5.301 + t^5.416 + 2*t^5.708 + t^5.824 - t^6. - t^4.398/y - t^4.398*y | detail | |
56213 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6537 | 0.8076 | 0.8095 | [M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923, 1.0769], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.077 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + 2*t^3.692 + t^3.923 + 3*t^4.154 + t^4.385 + 2*t^4.615 + 2*t^5.077 + 2*t^5.308 + t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 5745/8788, c: 7097/8788, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, M6: 14/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
56218 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6748 | 0.848 | 0.7958 | [M:[1.1453, 0.9778, 1.0838, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.4803, 0.3744], qb:[0.5419, 0.7709], phi:[0.4581]] | 2*t^2.062 + t^2.564 + t^2.933 + 2*t^3.251 + t^3.436 + t^3.62 + t^3.754 + 4*t^4.123 + t^4.256 + t^4.441 + 3*t^4.626 + 2*t^4.995 + t^5.128 + 4*t^5.313 + 2*t^5.497 + t^5.682 + 3*t^5.815 + t^5.867 - 2*t^6. - t^4.374/y - t^4.374*y | detail | |
56217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6735 | 0.8436 | 0.7984 | [M:[1.1393, 0.9621, 1.0886, 0.8607, 0.6836, 1.0886, 0.7343], q:[0.4936, 0.3671], qb:[0.5443, 0.7721], phi:[0.4557]] | t^2.051 + t^2.203 + t^2.582 + t^2.886 + 2*t^3.266 + t^3.418 + t^3.57 + t^3.949 + 2*t^4.101 + t^4.253 + t^4.329 + t^4.406 + t^4.481 + 2*t^4.633 + t^4.785 + t^4.937 + t^5.089 + t^5.164 + 2*t^5.316 + 3*t^5.469 + t^5.621 + 2*t^5.773 + t^5.848 - t^6. - t^4.367/y - t^4.367*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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 - t^4.368/y - t^4.368*y | detail |