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 |
|---|---|---|---|---|---|---|---|---|---|
| 1138 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 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]] | [M:[[13], [-4], [5], [-5], [3], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}M_{5}q_{1}q_{2}$ | -1 | 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. + 3*t^6.19 + 2*t^6.308 + t^6.38 + 2*t^6.498 + t^6.569 + 4*t^6.688 + 2*t^6.806 + t^6.878 + 3*t^6.996 + t^7.067 + 4*t^7.186 + t^7.257 + 3*t^7.376 + t^7.494 + 2*t^7.565 + 3*t^7.684 + 2*t^7.755 + 4*t^7.873 + t^7.945 + t^7.992 + t^8.063 + t^8.182 + 4*t^8.253 + 3*t^8.371 + 2*t^8.443 + t^8.49 - 3*t^8.561 + t^8.633 + t^8.68 + 3*t^8.751 + t^8.823 + 4*t^8.869 - t^8.941 - t^4.376/y - t^6.439/y - t^6.937/y - t^7.316/y + t^7.435/y + (2*t^7.624)/y + (2*t^7.814)/y + t^8.004/y + t^8.122/y + (4*t^8.312)/y + t^8.502/y + (2*t^8.692)/y + (3*t^8.81)/y - t^4.376*y - t^6.439*y - t^6.937*y - t^7.316*y + t^7.435*y + 2*t^7.624*y + 2*t^7.814*y + t^8.004*y + t^8.122*y + 4*t^8.312*y + t^8.502*y + 2*t^8.692*y + 3*t^8.81*y | g1^3*t^2.063 + (2*t^2.561)/g1^5 + g1^4*t^2.751 + g1^13*t^2.941 + t^3.249/g1^4 + g1^14*t^3.629 + t^3.747/g1^12 + t^3.937/g1^3 + 2*g1^6*t^4.127 + t^4.245/g1^20 + t^4.435/g1^11 + (3*t^4.624)/g1^2 + g1^7*t^4.814 + g1^16*t^5.004 + (3*t^5.122)/g1^10 + (3*t^5.312)/g1 + 2*g1^8*t^5.502 + g1^17*t^5.692 + (2*t^5.81)/g1^9 + g1^26*t^5.882 - t^6. + 3*g1^9*t^6.19 + (2*t^6.308)/g1^17 + g1^18*t^6.38 + (2*t^6.498)/g1^8 + g1^27*t^6.569 + 4*g1*t^6.688 + (2*t^6.806)/g1^25 + g1^10*t^6.878 + (3*t^6.996)/g1^16 + g1^19*t^7.067 + (4*t^7.186)/g1^7 + g1^28*t^7.257 + 3*g1^2*t^7.376 + t^7.494/g1^24 + 2*g1^11*t^7.565 + (3*t^7.684)/g1^15 + 2*g1^20*t^7.755 + (4*t^7.873)/g1^6 + g1^29*t^7.945 + t^7.992/g1^32 + g1^3*t^8.063 + t^8.182/g1^23 + 4*g1^12*t^8.253 + (3*t^8.371)/g1^14 + 2*g1^21*t^8.443 + t^8.49/g1^40 - (3*t^8.561)/g1^5 + g1^30*t^8.633 + t^8.68/g1^31 + 3*g1^4*t^8.751 + g1^39*t^8.823 + (4*t^8.869)/g1^22 - g1^13*t^8.941 - (g1^2*t^4.376)/y - (g1^5*t^6.439)/y - t^6.937/(g1^3*y) - (g1^15*t^7.316)/y + t^7.435/(g1^11*y) + (2*t^7.624)/(g1^2*y) + (2*g1^7*t^7.814)/y + (g1^16*t^8.004)/y + t^8.122/(g1^10*y) + (4*t^8.312)/(g1*y) + (g1^8*t^8.502)/y + (2*g1^17*t^8.692)/y + (3*t^8.81)/(g1^9*y) - g1^2*t^4.376*y - g1^5*t^6.439*y - (t^6.937*y)/g1^3 - g1^15*t^7.316*y + (t^7.435*y)/g1^11 + (2*t^7.624*y)/g1^2 + 2*g1^7*t^7.814*y + g1^16*t^8.004*y + (t^8.122*y)/g1^10 + (4*t^8.312*y)/g1 + g1^8*t^8.502*y + 2*g1^17*t^8.692*y + (3*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 2199 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6953 | 0.8828 | 0.7876 | [M:[0.9789, 1.0834, 1.1457, 0.8543, 0.6874, 0.8543, 0.6874], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | 2*t^2.062 + 2*t^2.563 + t^2.75 + t^2.937 + t^3.25 + t^3.624 + t^3.751 + 4*t^4.125 + t^4.251 + t^4.438 + 5*t^4.625 + 2*t^4.812 + 2*t^4.999 + 3*t^5.126 + 4*t^5.313 + 2*t^5.5 + 2*t^5.686 + 3*t^5.813 + t^5.873 - 2*t^6. - t^4.375/y - t^4.375*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 |