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 |
|---|---|---|---|---|---|---|---|---|---|
| 56127 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.7032 | 0.8682 | 0.8099 | [M:[0.8874, 1.0, 1.0751, 0.9625, 0.9249, 1.0375, 0.9249], q:[0.5751, 0.5375], qb:[0.4249, 0.5], phi:[0.4906]] | [M:[[12], [0], [-8], [4], [8], [-4], [8]], q:[[-8], [-4]], qb:[[8], [0]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. + t^6.056 - 2*t^6.113 - t^6.225 - t^6.338 - t^6.45 + t^6.684 + 2*t^6.796 + 2*t^6.909 + t^6.965 + 3*t^7.021 - t^7.078 + 4*t^7.134 + t^7.19 + 4*t^7.247 + 4*t^7.359 + t^7.416 + 4*t^7.472 - t^7.528 + 3*t^7.584 + t^7.641 + 2*t^7.697 - t^7.753 + t^7.81 - t^7.979 + t^7.987 + t^8.043 + 2*t^8.099 + 3*t^8.212 + 2*t^8.268 + 4*t^8.324 + 3*t^8.381 + 2*t^8.437 + 5*t^8.493 + 2*t^8.55 + 3*t^8.606 + 5*t^8.719 - 6*t^8.775 + 4*t^8.831 - 7*t^8.887 + 2*t^8.944 - t^4.472/y - t^7.134/y - t^7.247/y - t^7.416/y + t^7.528/y + t^7.697/y + t^7.81/y + (2*t^8.437)/y + (2*t^8.55)/y + t^8.606/y + (3*t^8.662)/y + (2*t^8.719)/y + (3*t^8.775)/y + t^8.831/y + (3*t^8.887)/y + t^8.944/y - t^4.472*y - t^7.134*y - t^7.247*y - t^7.416*y + t^7.528*y + t^7.697*y + t^7.81*y + 2*t^8.437*y + 2*t^8.55*y + t^8.606*y + 3*t^8.662*y + 2*t^8.719*y + 3*t^8.775*y + t^8.831*y + 3*t^8.887*y + t^8.944*y | g1^12*t^2.662 + 2*g1^8*t^2.775 + g1^4*t^2.887 + g1^2*t^2.944 + t^3. + t^3.113/g1^4 + g1^17*t^4.021 + g1^9*t^4.247 + g1^5*t^4.359 + 2*g1*t^4.472 + t^4.584/g1^3 + (2*t^4.697)/g1^7 + t^4.81/g1^11 + t^4.922/g1^15 + g1^24*t^5.324 + 2*g1^20*t^5.437 + 3*g1^16*t^5.55 + g1^14*t^5.606 + 2*g1^12*t^5.662 + 2*g1^10*t^5.719 + 2*g1^8*t^5.775 + g1^6*t^5.831 + 2*g1^4*t^5.887 + g1^2*t^5.944 - 2*t^6. + t^6.056/g1^2 - (2*t^6.113)/g1^4 - t^6.225/g1^8 - t^6.338/g1^12 - t^6.45/g1^16 + g1^29*t^6.684 + 2*g1^25*t^6.796 + 2*g1^21*t^6.909 + g1^19*t^6.965 + 3*g1^17*t^7.021 - g1^15*t^7.078 + 4*g1^13*t^7.134 + g1^11*t^7.19 + 4*g1^9*t^7.247 + 4*g1^5*t^7.359 + g1^3*t^7.416 + 4*g1*t^7.472 - t^7.528/g1 + (3*t^7.584)/g1^3 + t^7.641/g1^5 + (2*t^7.697)/g1^7 - t^7.753/g1^9 + t^7.81/g1^11 - t^7.979/g1^17 + g1^36*t^7.987 + g1^34*t^8.043 + 2*g1^32*t^8.099 + 3*g1^28*t^8.212 + 2*g1^26*t^8.268 + 4*g1^24*t^8.324 + 3*g1^22*t^8.381 + 2*g1^20*t^8.437 + 5*g1^18*t^8.493 + 2*g1^16*t^8.55 + 3*g1^14*t^8.606 + 5*g1^10*t^8.719 - 6*g1^8*t^8.775 + 4*g1^6*t^8.831 - 7*g1^4*t^8.887 + 2*g1^2*t^8.944 - (g1*t^4.472)/y - (g1^13*t^7.134)/y - (g1^9*t^7.247)/y - (g1^3*t^7.416)/y + t^7.528/(g1*y) + t^7.697/(g1^7*y) + t^7.81/(g1^11*y) + (2*g1^20*t^8.437)/y + (2*g1^16*t^8.55)/y + (g1^14*t^8.606)/y + (3*g1^12*t^8.662)/y + (2*g1^10*t^8.719)/y + (3*g1^8*t^8.775)/y + (g1^6*t^8.831)/y + (3*g1^4*t^8.887)/y + (g1^2*t^8.944)/y - g1*t^4.472*y - g1^13*t^7.134*y - g1^9*t^7.247*y - g1^3*t^7.416*y + (t^7.528*y)/g1 + (t^7.697*y)/g1^7 + (t^7.81*y)/g1^11 + 2*g1^20*t^8.437*y + 2*g1^16*t^8.55*y + g1^14*t^8.606*y + 3*g1^12*t^8.662*y + 2*g1^10*t^8.719*y + 3*g1^8*t^8.775*y + g1^6*t^8.831*y + 3*g1^4*t^8.887*y + g1^2*t^8.944*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 58304 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6999 | 0.8617 | 0.8123 | [M:[0.9035, 1.0, 1.0643, 0.9678, 0.9357, 1.0322, 0.9357, 1.0322], q:[0.5643, 0.5322], qb:[0.4357, 0.5], phi:[0.492]] | t^2.711 + 2*t^2.807 + t^2.952 + t^3. + 2*t^3.096 + t^4.09 + t^4.283 + t^4.379 + 2*t^4.476 + t^4.572 + 2*t^4.669 + t^4.765 + t^4.862 + t^5.421 + 2*t^5.518 + 2*t^5.614 + t^5.662 + 2*t^5.759 + 2*t^5.807 + 3*t^5.904 + t^5.952 - 3*t^6. - t^4.476/y - t^4.476*y | detail | |
| 58305 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7015 | 0.8648 | 0.8111 | [M:[0.8955, 1.0, 1.0697, 0.9652, 0.9303, 1.0348, 0.9303, 1.0174], q:[0.5697, 0.5348], qb:[0.4303, 0.5], phi:[0.4913]] | t^2.686 + 2*t^2.791 + t^2.895 + t^3. + t^3.052 + t^3.105 + t^4.056 + t^4.265 + t^4.369 + 2*t^4.474 + t^4.578 + 2*t^4.683 + t^4.787 + t^4.892 + t^5.373 + 2*t^5.477 + 3*t^5.582 + 2*t^5.686 + t^5.739 + 2*t^5.791 + 2*t^5.843 + t^5.895 + t^5.948 - 2*t^6. - t^4.474/y - t^4.474*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50869 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ | 0.6972 | 0.8564 | 0.8141 | [M:[0.9194, 1.0, 1.0538, 0.9731, 0.9462, 1.0269], q:[0.5538, 0.5269], qb:[0.4462, 0.5], phi:[0.4933]] | t^2.758 + t^2.839 + t^2.919 + t^2.96 + t^3. + t^3.081 + t^3.161 + t^4.157 + t^4.319 + t^4.399 + 2*t^4.48 + t^4.56 + 2*t^4.641 + t^4.722 + t^4.802 + t^5.516 + t^5.597 + t^5.677 + t^5.718 + t^5.758 + t^5.798 + t^5.839 + t^5.879 + 2*t^5.919 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail |