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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6219 | 0.7787 | 0.7986 | [M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | [M:[[0, 1], [1, 0], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.041 + t^2.433 + t^3. + 2*t^3.453 + 2*t^3.479 + t^3.567 + t^3.906 + t^3.933 + t^4.021 + t^4.047 + t^4.083 + t^4.135 + t^4.474 + t^4.865 + t^5.041 + t^5.433 + 2*t^5.495 + 2*t^5.521 + t^5.609 + t^5.886 + t^5.912 + t^5.948 - 2*t^6. - t^6.026 + t^6.062 - t^6.114 + t^6.124 + t^6.176 + t^6.339 + t^6.365 + t^6.453 + t^6.479 + t^6.515 + 4*t^6.906 + 3*t^6.933 + 2*t^6.959 + t^7.021 + t^7.047 + t^7.083 + t^7.135 + t^7.298 + 2*t^7.36 + 2*t^7.386 + 2*t^7.474 + t^7.5 + 2*t^7.536 + 2*t^7.562 + t^7.588 + t^7.614 + t^7.65 + t^7.702 + t^7.813 + t^7.839 + t^7.865 + 2*t^7.927 + t^7.953 - t^7.979 + t^7.989 - t^8.041 - t^8.067 + t^8.103 + t^8.165 + t^8.182 + t^8.217 + t^8.27 + t^8.318 + t^8.344 + t^8.38 - 2*t^8.433 - t^8.459 + t^8.495 - t^8.547 + t^8.557 + t^8.772 + t^8.798 + 4*t^8.948 + 2*t^8.974 - t^4.5/y - t^6.541/y + t^7.021/y + t^7.047/y + t^7.474/y - t^7.953/y - t^7.979/y + t^8.041/y + t^8.433/y + t^8.459/y + (2*t^8.495)/y + (2*t^8.521)/y - t^8.583/y + t^8.609/y + (2*t^8.886)/y + (2*t^8.912)/y + t^8.948/y + t^8.974/y - t^4.5*y - t^6.541*y + t^7.021*y + t^7.047*y + t^7.474*y - t^7.953*y - t^7.979*y + t^8.041*y + t^8.433*y + t^8.459*y + 2*t^8.495*y + 2*t^8.521*y - t^8.583*y + t^8.609*y + 2*t^8.886*y + 2*t^8.912*y + t^8.948*y + t^8.974*y | t^2.041/g1^2 + g1*g2*t^2.433 + t^3. + 2*g2*t^3.453 + 2*g1*t^3.479 + t^3.567/(g1*g2) + g2^2*t^3.906 + g1*g2*t^3.933 + t^4.021/g1 + t^4.047/g2 + t^4.083/g1^4 + t^4.135/(g1^2*g2^2) + (g2*t^4.474)/g1 + g1^2*g2^2*t^4.865 + t^5.041/g1^2 + g1*g2*t^5.433 + (2*g2*t^5.495)/g1^2 + (2*t^5.521)/g1 + t^5.609/(g1^3*g2) + g1*g2^2*t^5.886 + g1^2*g2*t^5.912 + (g2^2*t^5.948)/g1^2 - 2*t^6. - (g1*t^6.026)/g2 + t^6.062/g1^3 - t^6.114/(g1*g2^2) + t^6.124/g1^6 + t^6.176/(g1^4*g2^2) + g1*g2^3*t^6.339 + g1^2*g2^2*t^6.365 + g2*t^6.453 + g1*t^6.479 + (g2*t^6.515)/g1^3 + 4*g2^2*t^6.906 + 3*g1*g2*t^6.933 + 2*g1^2*t^6.959 + t^7.021/g1 + t^7.047/g2 + t^7.083/g1^4 + t^7.135/(g1^2*g2^2) + g1^3*g2^3*t^7.298 + 2*g2^3*t^7.36 + 2*g1*g2^2*t^7.386 + (2*g2*t^7.474)/g1 + t^7.5 + (2*g2*t^7.536)/g1^4 + (2*t^7.562)/g1^3 + t^7.588/(g1^2*g2) + t^7.614/(g1*g2^2) + t^7.65/(g1^5*g2) + t^7.702/(g1^3*g2^3) + g2^4*t^7.813 + g1*g2^3*t^7.839 + g1^2*g2^2*t^7.865 + (2*g2^2*t^7.927)/g1 + g2*t^7.953 - g1*t^7.979 + (g2^2*t^7.989)/g1^4 - t^8.041/g1^2 - t^8.067/(g1*g2) + t^8.103/g1^5 + t^8.165/g1^8 + t^8.182/(g1^2*g2^3) + t^8.217/(g1^6*g2^2) + t^8.27/(g1^4*g2^4) + g1^2*g2^3*t^8.318 + g1^3*g2^2*t^8.344 + (g2^3*t^8.38)/g1 - 2*g1*g2*t^8.433 - g1^2*t^8.459 + (g2*t^8.495)/g1^2 - t^8.547/g2 + (g2*t^8.557)/g1^5 + g1^2*g2^4*t^8.772 + g1^3*g2^3*t^8.798 + (4*g2^2*t^8.948)/g1^2 + (2*g2*t^8.974)/g1 - t^4.5/y - t^6.541/(g1^2*y) + t^7.021/(g1*y) + t^7.047/(g2*y) + (g2*t^7.474)/(g1*y) - (g2*t^7.953)/y - (g1*t^7.979)/y + t^8.041/(g1^2*y) + (g1*g2*t^8.433)/y + (g1^2*t^8.459)/y + (2*g2*t^8.495)/(g1^2*y) + (2*t^8.521)/(g1*y) - t^8.583/(g1^4*y) + t^8.609/(g1^3*g2*y) + (2*g1*g2^2*t^8.886)/y + (2*g1^2*g2*t^8.912)/y + (g2^2*t^8.948)/(g1^2*y) + (g2*t^8.974)/(g1*y) - t^4.5*y - (t^6.541*y)/g1^2 + (t^7.021*y)/g1 + (t^7.047*y)/g2 + (g2*t^7.474*y)/g1 - g2*t^7.953*y - g1*t^7.979*y + (t^8.041*y)/g1^2 + g1*g2*t^8.433*y + g1^2*t^8.459*y + (2*g2*t^8.495*y)/g1^2 + (2*t^8.521*y)/g1 - (t^8.583*y)/g1^4 + (t^8.609*y)/(g1^3*g2) + 2*g1*g2^2*t^8.886*y + 2*g1^2*g2*t^8.912*y + (g2^2*t^8.948*y)/g1^2 + (g2*t^8.974*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 248 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6134 | 0.7631 | 0.8038 | [M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.373 + t^2.44 + t^3. + 2*t^3.313 + t^3.56 + 2*t^3.627 + t^3.873 + t^3.94 + t^4.12 + t^4.187 + t^4.253 + t^4.747 + t^4.813 + t^4.88 + t^5.373 + t^5.44 + t^5.687 + t^5.753 - t^4.5/y - t^4.5*y | detail | |
| 247 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6218 | 0.7781 | 0.7992 | [M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 251 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6426 | 0.8185 | 0.785 | [M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.054 + t^2.446 + t^3. + 4*t^3.473 + t^3.554 + t^3.946 + 2*t^4.027 + 4*t^4.109 + 2*t^4.5 + t^4.891 + 2*t^5.054 + t^5.446 + 8*t^5.527 + 2*t^5.609 + 2*t^5.919 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 99 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6011 | 0.7381 | 0.8144 | [M:[1.154, 1.154], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | t^2.424 + t^3. + 4*t^3.462 + t^3.576 + 3*t^3.924 + 2*t^4.038 + t^4.151 + t^4.849 + t^5.424 + 2*t^5.886 - 4*t^6. - t^4.5/y - t^4.5*y | detail |