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 |
|---|---|---|---|---|---|---|---|---|---|
| 1133 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 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]] | [M:[[13], [-4], [5], [-5], [3], [-4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}M_{5}q_{1}q_{2}$ | -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 | g1^3*t^2.063 + t^2.563/g1^5 + g1^13*t^2.938 + (2*t^3.25)/g1^4 + g1^5*t^3.438 + g1^14*t^3.625 + t^3.75/g1^12 + t^3.938/g1^3 + 2*g1^6*t^4.125 + t^4.25/g1^20 + t^4.438/g1^11 + (2*t^4.625)/g1^2 + g1^16*t^5. + t^5.125/g1^10 + (2*t^5.313)/g1 + g1^8*t^5.5 + (2*t^5.813)/g1^9 + g1^26*t^5.875 - t^6. + 3*g1^9*t^6.188 + t^6.313/g1^17 + g1^18*t^6.375 + (2*t^6.5)/g1^8 + g1^27*t^6.563 + 3*g1*t^6.688 + t^6.813/g1^25 + g1^10*t^6.875 + (2*t^7.)/g1^16 + 2*g1^19*t^7.063 + (2*t^7.188)/g1^7 + g1^28*t^7.25 + 3*g1^2*t^7.375 + (2*t^7.5)/g1^24 + 2*g1^11*t^7.563 + (2*t^7.688)/g1^15 + g1^20*t^7.75 + (3*t^7.875)/g1^6 + g1^29*t^7.938 + t^8./g1^32 - g1^3*t^8.063 + t^8.188/g1^23 + 3*g1^12*t^8.25 + (2*t^8.375)/g1^14 + g1^21*t^8.438 + t^8.5/g1^40 + t^8.688/g1^31 + 3*g1^4*t^8.75 + g1^39*t^8.813 + (2*t^8.875)/g1^22 - 3*g1^13*t^8.938 - (g1^2*t^4.375)/y - (g1^5*t^6.438)/y + (g1^6*t^7.125)/y - (g1^15*t^7.313)/y + t^7.438/(g1^11*y) + (g1^16*t^8.)/y + (3*t^8.313)/(g1*y) + (g1^8*t^8.5)/y + (g1^17*t^8.688)/y + (3*t^8.813)/(g1^9*y) - g1^2*t^4.375*y - g1^5*t^6.438*y + g1^6*t^7.125*y - g1^15*t^7.313*y + (t^7.438*y)/g1^11 + g1^16*t^8.*y + (3*t^8.313*y)/g1 + g1^8*t^8.5*y + g1^17*t^8.688*y + (3*t^8.813*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 |
|---|---|---|---|---|---|---|---|---|
| 2160 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6545 | 0.8105 | 0.8076 | [M:[1.0294, 1.0679, 1.1651, 0.8349, 0.6991, 1.0679, 0.9706], q:[0.767, 0.5339], qb:[0.4367, 0.3982], 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 | |
| 2158 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6672 | 0.8304 | 0.8034 | [M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], 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 | |
| 2159 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6748 | 0.848 | 0.7958 | [M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 |