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 |
|---|---|---|---|---|---|---|---|---|---|
| 46691 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 0.9657, 1.1263, 0.6895, 0.8737], q:[0.5974, 0.4368], qb:[0.4368, 0.7816], phi:[0.4368]] | [M:[[1, -7], [-1, -11], [0, 4], [0, 6], [0, -4]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | -3 | t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. + 2*t^6.206 + 2*t^6.276 + 7*t^6.552 + 2*t^6.758 + 2*t^6.829 + t^6.964 + 4*t^7.034 + 3*t^7.31 + t^7.516 + 4*t^7.587 + 2*t^7.792 + 9*t^7.863 - t^8.069 + 2*t^8.139 + 2*t^8.274 + 2*t^8.345 + 3*t^8.415 + 2*t^8.55 - 3*t^8.621 + 4*t^8.692 + 3*t^8.827 - 4*t^8.897 - t^4.31/y - t^6.379/y - t^6.931/y - (2*t^7.208)/y + (2*t^7.413)/y + (3*t^7.69)/y + (2*t^7.966)/y + (2*t^8.242)/y - t^8.448/y + (4*t^8.518)/y + (2*t^8.724)/y + t^8.794/y - t^4.31*y - t^6.379*y - t^6.931*y - 2*t^7.208*y + 2*t^7.413*y + 3*t^7.69*y + 2*t^7.966*y + 2*t^8.242*y - t^8.448*y + 4*t^8.518*y + 2*t^8.724*y + t^8.794*y | g2^6*t^2.069 + (2*t^2.621)/g2^4 + t^2.897/(g1*g2^11) + (g1*t^2.897)/g2^7 + t^3.655/(g1*g2^3) + g1*g2*t^3.655 + t^3.931/(g1^2*g2^10) + (g1^2*t^3.931)/g2^2 + 2*g2^12*t^4.137 + (g2^5*t^4.413)/g1 + g1*g2^9*t^4.413 + 2*g2^2*t^4.69 + g2^20*t^4.895 + t^4.966/(g1*g2^5) + (g1*t^4.966)/g2 + (3*t^5.242)/g2^8 + t^5.518/(g1*g2^15) + (g1*t^5.518)/g2^11 + (g2^3*t^5.724)/g1 + g1*g2^7*t^5.724 + t^5.794/(g1^2*g2^22) + t^5.794/g2^18 + (g1^2*t^5.794)/g2^14 - 3*t^6. + 2*g2^18*t^6.206 + t^6.276/(g1*g2^7) + (g1*t^6.276)/g2^3 + (3*t^6.552)/(g1^2*g2^14) + t^6.552/g2^10 + (3*g1^2*t^6.552)/g2^6 + 2*g2^8*t^6.758 + t^6.829/(g1^3*g2^21) + (g1^3*t^6.829)/g2^9 + g2^26*t^6.964 + (2*g2*t^7.034)/g1 + 2*g1*g2^5*t^7.034 + (3*t^7.31)/g2^2 + g2^16*t^7.516 + t^7.587/(g1^3*g2^13) + t^7.587/(g1*g2^9) + (g1*t^7.587)/g2^5 + (g1^3*t^7.587)/g2 + (g2^9*t^7.792)/g1 + g1*g2^13*t^7.792 + t^7.863/(g1^4*g2^20) + t^7.863/(g1^2*g2^16) + (5*t^7.863)/g2^12 + (g1^2*t^7.863)/g2^8 + (g1^4*t^7.863)/g2^4 + (g2^2*t^8.069)/g1^2 - 3*g2^6*t^8.069 + g1^2*g2^10*t^8.069 + t^8.139/(g1*g2^19) + (g1*t^8.139)/g2^15 + 2*g2^24*t^8.274 + t^8.345/(g1^3*g2^5) + g1^3*g2^7*t^8.345 + t^8.415/(g1^2*g2^26) + t^8.415/g2^22 + (g1^2*t^8.415)/g2^18 + (g2^17*t^8.55)/g1 + g1*g2^21*t^8.55 + g1^2*t^8.621 + t^8.621/(g1^2*g2^8) - (5*t^8.621)/g2^4 + t^8.692/(g1^3*g2^33) + t^8.692/(g1*g2^29) + (g1*t^8.692)/g2^25 + (g1^3*t^8.692)/g2^21 + (g2^10*t^8.827)/g1^2 + g2^14*t^8.827 + g1^2*g2^18*t^8.827 - (2*t^8.897)/(g1*g2^11) - (2*g1*t^8.897)/g2^7 - t^4.31/(g2^2*y) - (g2^4*t^6.379)/y - t^6.931/(g2^6*y) - t^7.208/(g1*g2^13*y) - (g1*t^7.208)/(g2^9*y) + (g2^5*t^7.413)/(g1*y) + (g1*g2^9*t^7.413)/y + (3*g2^2*t^7.69)/y + t^7.966/(g1*g2^5*y) + (g1*t^7.966)/(g2*y) + (2*t^8.242)/(g2^8*y) - (g2^10*t^8.448)/y + (2*t^8.518)/(g1*g2^15*y) + (2*g1*t^8.518)/(g2^11*y) + (g2^3*t^8.724)/(g1*y) + (g1*g2^7*t^8.724)/y + t^8.794/(g2^18*y) - (t^4.31*y)/g2^2 - g2^4*t^6.379*y - (t^6.931*y)/g2^6 - (t^7.208*y)/(g1*g2^13) - (g1*t^7.208*y)/g2^9 + (g2^5*t^7.413*y)/g1 + g1*g2^9*t^7.413*y + 3*g2^2*t^7.69*y + (t^7.966*y)/(g1*g2^5) + (g1*t^7.966*y)/g2 + (2*t^8.242*y)/g2^8 - g2^10*t^8.448*y + (2*t^8.518*y)/(g1*g2^15) + (2*g1*t^8.518*y)/g2^11 + (g2^3*t^8.724*y)/g1 + g1*g2^7*t^8.724*y + (t^8.794*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47068 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}^{2}$ | 0.6805 | 0.8404 | 0.8097 | [M:[0.9715, 1.0, 1.1174, 0.6762, 0.8826], q:[0.573, 0.4555], qb:[0.427, 0.7794], phi:[0.4413]] | t^2.029 + 2*t^2.648 + t^2.914 + t^3. + t^3.619 + t^3.705 + t^3.886 + 3*t^4.057 + t^4.324 + t^4.409 + 2*t^4.676 + t^4.762 + t^4.943 + t^5.029 + 3*t^5.295 + t^5.562 + 2*t^5.648 + t^5.733 + t^5.829 + t^5.914 - 2*t^6. - t^4.324/y - t^4.324*y | detail | |
| 47043 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7021 | 0.8823 | 0.7958 | [M:[0.9637, 0.9715, 1.1255, 0.6883, 0.8745, 0.6805], q:[0.5951, 0.4411], qb:[0.4334, 0.7814], phi:[0.4372]] | t^2.041 + t^2.065 + 2*t^2.623 + t^2.891 + t^2.915 + t^3.644 + t^3.668 + t^3.912 + t^4.083 + t^4.106 + 2*t^4.13 + t^4.397 + t^4.421 + 2*t^4.665 + 2*t^4.688 + t^4.883 + t^4.933 + 2*t^4.956 + t^4.979 + 3*t^5.247 + t^5.515 + t^5.538 + t^5.686 + 2*t^5.709 + t^5.732 + t^5.782 + t^5.806 + t^5.829 + t^5.953 - 3*t^6. - t^4.312/y - t^4.312*y | detail | |
| 46999 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6993 | 0.8739 | 0.8002 | [M:[0.9554, 0.9803, 1.1254, 0.6881, 0.8746, 0.7689], q:[0.5948, 0.4498], qb:[0.4248, 0.7813], phi:[0.4373]] | t^2.064 + t^2.307 + 2*t^2.624 + t^2.866 + t^2.941 + t^3.619 + t^3.861 + t^4.01 + 2*t^4.129 + 2*t^4.371 + t^4.446 + t^4.613 + 2*t^4.688 + t^4.881 + 3*t^4.93 + t^5.005 + t^5.173 + 4*t^5.248 + t^5.49 + t^5.565 + t^5.683 + t^5.732 + t^5.807 + t^5.882 + t^5.925 - 3*t^6. - t^4.312/y - t^4.312*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]] | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y | detail |