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 |
|---|---|---|---|---|---|---|---|---|---|
| 50921 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6771 | 0.8451 | 0.8012 | [M:[1.1457, 0.9789, 1.0834, 0.8543, 0.7497, 0.792], q:[0.4794, 0.3749], qb:[0.5417, 0.7709], phi:[0.4583]] | [M:[[-5], [-13], [4], [5], [-12], [14]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}^{2}$ | ${}$ | -1 | t^2.249 + t^2.376 + t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.437 + 2*t^3.938 + t^4.125 + t^4.251 + t^4.438 + t^4.498 + 2*t^4.625 + t^4.752 + t^4.812 + t^4.939 + t^4.999 + 2*t^5.126 + t^5.186 + 2*t^5.313 + 2*t^5.499 + t^5.626 + t^5.686 + t^5.813 + t^5.873 - t^6. + 2*t^6.187 + t^6.314 + 2*t^6.374 + 2*t^6.501 + t^6.627 + 2*t^6.687 + t^6.748 + 2*t^6.814 + 3*t^6.874 + 3*t^7.001 + t^7.061 + t^7.128 + 2*t^7.188 + t^7.248 + t^7.315 + 3*t^7.375 + t^7.435 + 2*t^7.502 + 2*t^7.562 + 2*t^7.689 + 2*t^7.749 + 3*t^7.875 + t^7.936 + t^8.002 + 2*t^8.062 + t^8.122 + 2*t^8.189 - t^8.376 + 2*t^8.436 + t^8.503 + 2*t^8.623 + 2*t^8.69 + t^8.75 + t^8.81 + 2*t^8.876 - t^8.937 + t^8.997 - t^4.375/y - t^6.624/y - t^6.751/y - t^7.311/y + t^7.438/y + t^7.625/y + t^7.812/y + t^7.939/y + (2*t^7.999)/y + (2*t^8.126)/y + t^8.186/y + (2*t^8.313)/y + (2*t^8.499)/y + t^8.626/y + (2*t^8.686)/y + (2*t^8.813)/y - t^8.873/y - t^4.375*y - t^6.624*y - t^6.751*y - t^7.311*y + t^7.438*y + t^7.625*y + t^7.812*y + t^7.939*y + 2*t^7.999*y + 2*t^8.126*y + t^8.186*y + 2*t^8.313*y + 2*t^8.499*y + t^8.626*y + 2*t^8.686*y + 2*t^8.813*y - t^8.873*y | t^2.249/g1^12 + g1^14*t^2.376 + g1^5*t^2.563 + t^2.75/g1^4 + t^2.937/g1^13 + g1^4*t^3.25 + t^3.437/g1^5 + 2*g1^3*t^3.938 + t^4.125/g1^6 + g1^20*t^4.251 + g1^11*t^4.438 + t^4.498/g1^24 + 2*g1^2*t^4.625 + g1^28*t^4.752 + t^4.812/g1^7 + g1^19*t^4.939 + t^4.999/g1^16 + 2*g1^10*t^5.126 + t^5.186/g1^25 + 2*g1*t^5.313 + (2*t^5.499)/g1^8 + g1^18*t^5.626 + t^5.686/g1^17 + g1^9*t^5.813 + t^5.873/g1^26 - t^6. + (2*t^6.187)/g1^9 + g1^17*t^6.314 + (2*t^6.374)/g1^18 + 2*g1^8*t^6.501 + g1^34*t^6.627 + (2*t^6.687)/g1 + t^6.748/g1^36 + 2*g1^25*t^6.814 + (3*t^6.874)/g1^10 + 3*g1^16*t^7.001 + t^7.061/g1^19 + g1^42*t^7.128 + 2*g1^7*t^7.188 + t^7.248/g1^28 + g1^33*t^7.315 + (3*t^7.375)/g1^2 + t^7.435/g1^37 + 2*g1^24*t^7.502 + (2*t^7.562)/g1^11 + 2*g1^15*t^7.689 + (2*t^7.749)/g1^20 + 3*g1^6*t^7.875 + t^7.936/g1^29 + g1^32*t^8.002 + (2*t^8.062)/g1^3 + t^8.122/g1^38 + 2*g1^23*t^8.189 - g1^14*t^8.376 + (2*t^8.436)/g1^21 + g1^40*t^8.503 + (2*t^8.623)/g1^30 + 2*g1^31*t^8.69 + t^8.75/g1^4 + t^8.81/g1^39 + 2*g1^22*t^8.876 - t^8.937/g1^13 + t^8.997/g1^48 - t^4.375/(g1^2*y) - t^6.624/(g1^14*y) - (g1^12*t^6.751)/y - t^7.311/(g1^15*y) + (g1^11*t^7.438)/y + (g1^2*t^7.625)/y + t^7.812/(g1^7*y) + (g1^19*t^7.939)/y + (2*t^7.999)/(g1^16*y) + (2*g1^10*t^8.126)/y + t^8.186/(g1^25*y) + (2*g1*t^8.313)/y + (2*t^8.499)/(g1^8*y) + (g1^18*t^8.626)/y + (2*t^8.686)/(g1^17*y) + (2*g1^9*t^8.813)/y - t^8.873/(g1^26*y) - (t^4.375*y)/g1^2 - (t^6.624*y)/g1^14 - g1^12*t^6.751*y - (t^7.311*y)/g1^15 + g1^11*t^7.438*y + g1^2*t^7.625*y + (t^7.812*y)/g1^7 + g1^19*t^7.939*y + (2*t^7.999*y)/g1^16 + 2*g1^10*t^8.126*y + (t^8.186*y)/g1^25 + 2*g1*t^8.313*y + (2*t^8.499*y)/g1^8 + g1^18*t^8.626*y + (2*t^8.686*y)/g1^17 + 2*g1^9*t^8.813*y - (t^8.873*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6901 | 0.8675 | 0.7954 | [M:[1.15, 0.9899, 1.08, 0.85, 0.7599, 0.7801, 0.85], q:[0.4701, 0.38], qb:[0.54, 0.77], phi:[0.46]] | t^2.28 + t^2.34 + 2*t^2.55 + t^2.76 + t^2.97 + t^3.24 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.559 + 2*t^4.62 + t^4.681 + 2*t^4.83 + 2*t^4.89 + t^5.04 + 4*t^5.1 + t^5.249 + 3*t^5.31 + 3*t^5.52 + t^5.58 + t^5.79 + t^5.939 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 56332 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6849 | 0.8581 | 0.7981 | [M:[1.1417, 0.9685, 1.0866, 0.8583, 0.7402, 0.8031, 0.9134], q:[0.4882, 0.3701], qb:[0.5433, 0.7717], phi:[0.4567]] | t^2.221 + t^2.409 + t^2.575 + 2*t^2.74 + t^2.906 + t^3.425 + 2*t^3.945 + t^4.11 + t^4.299 + t^4.441 + t^4.465 + 2*t^4.63 + t^4.795 + t^4.819 + 2*t^4.961 + t^4.984 + t^5.126 + 3*t^5.15 + 3*t^5.315 + 3*t^5.48 + 2*t^5.646 + t^5.811 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 56334 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6978 | 0.8853 | 0.7882 | [M:[1.1453, 0.9779, 1.0837, 0.8547, 0.7488, 0.7931, 0.6872], q:[0.4803, 0.3744], qb:[0.5419, 0.7709], phi:[0.4581]] | t^2.062 + t^2.246 + t^2.379 + t^2.564 + t^2.749 + t^2.934 + t^3.251 + t^3.436 + t^3.938 + 2*t^4.123 + t^4.256 + t^4.308 + 2*t^4.441 + t^4.493 + 3*t^4.626 + t^4.758 + 2*t^4.81 + t^4.943 + 2*t^4.995 + 2*t^5.128 + t^5.18 + 3*t^5.313 + 3*t^5.498 + t^5.63 + t^5.682 + t^5.815 + t^5.867 - t^4.374/y - t^4.374*y | detail | |
| 56331 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6696 | 0.8327 | 0.8041 | [M:[1.1497, 0.9893, 1.0802, 0.8503, 0.7594, 0.7808, 1.0802], q:[0.4706, 0.3797], qb:[0.5401, 0.7701], phi:[0.4599]] | t^2.278 + t^2.342 + t^2.551 + t^2.968 + 2*t^3.241 + t^3.449 + 2*t^3.93 + t^4.139 + t^4.203 + t^4.412 + t^4.556 + 2*t^4.62 + t^4.685 + t^4.829 + t^4.893 + t^5.102 + t^5.246 + t^5.31 + 2*t^5.519 + 2*t^5.583 + 2*t^5.791 + t^5.936 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48227 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.661 | 0.8174 | 0.8086 | [M:[1.135, 0.951, 1.092, 0.865, 0.724], q:[0.503, 0.362], qb:[0.546, 0.773], phi:[0.454]] | t^2.172 + t^2.595 + t^2.724 + t^2.853 + t^3.276 + t^3.405 + t^3.534 + 2*t^3.957 + t^4.086 + t^4.344 + t^4.38 + t^4.509 + t^4.638 + t^4.767 + t^4.896 + t^5.025 + t^5.19 + t^5.319 + 2*t^5.448 + t^5.577 + 2*t^5.706 - t^6. - t^4.362/y - t^4.362*y | detail |