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 |
|---|---|---|---|---|---|---|---|---|---|
| 46804 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | [M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{2}$ | ${}M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -3 | t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. + t^6.02 - t^6.232 + 2*t^6.253 - t^6.273 + t^6.699 + t^6.759 + 2*t^6.931 + 2*t^6.951 + t^6.972 + 3*t^7.163 + 3*t^7.184 + t^7.204 + 3*t^7.396 + 4*t^7.416 + t^7.437 + t^7.457 + t^7.478 + t^7.69 + t^7.71 + t^7.862 + t^7.922 + t^7.963 + t^7.983 + t^8.094 + t^8.115 + t^8.135 + t^8.156 + t^8.195 + t^8.327 + 3*t^8.368 + t^8.388 + t^8.409 + t^8.469 + t^8.559 + 2*t^8.6 + 3*t^8.621 + t^8.641 + t^8.662 + t^8.682 + t^8.833 - 2*t^8.853 - 5*t^8.874 - 2*t^8.894 + t^8.914 - t^4.437/y - t^7.057/y - t^7.29/y - t^7.331/y + t^7.543/y + t^7.584/y + t^7.816/y + t^8.474/y + (2*t^8.494)/y + t^8.515/y + (2*t^8.727)/y + (3*t^8.747)/y + (2*t^8.768)/y + t^8.98/y - t^4.437*y - t^7.057*y - t^7.29*y - t^7.331*y + t^7.543*y + t^7.584*y + t^7.816*y + t^8.474*y + 2*t^8.494*y + t^8.515*y + 2*t^8.727*y + 3*t^8.747*y + 2*t^8.768*y + t^8.98*y | t^2.621/(g1^6*g2^6) + (g2^8*t^2.853)/g1^4 + (2*t^2.874)/(g1^2*g2^2) + t^2.894/g2^12 + g1^2*g2^2*t^3.126 + g1^6*g2^6*t^3.379 + t^4.078/(g1^5*g2^17) + (2*t^4.31)/(g1^3*g2^3) + (3*g2^11*t^4.543)/g1 + (g1^3*t^4.584)/g2^9 + 2*g1^5*g2^5*t^4.816 + (g1^11*t^5.089)/g2 + t^5.241/(g1^12*g2^12) + (g2^2*t^5.474)/g1^10 + t^5.494/(g1^8*g2^8) + t^5.515/(g1^6*g2^18) + (g2^16*t^5.706)/g1^8 + (5*t^5.747)/(g1^4*g2^4) + t^5.788/g2^24 + (g2^10*t^5.98)/g1^2 - 3*t^6. + (g1^2*t^6.02)/g2^10 - g1^2*g2^14*t^6.232 + 2*g1^4*g2^4*t^6.253 - (g1^6*t^6.273)/g2^6 + t^6.699/(g1^11*g2^23) + g1^12*g2^12*t^6.759 + (2*t^6.931)/(g1^9*g2^9) + (2*t^6.951)/(g1^7*g2^19) + t^6.972/(g1^5*g2^29) + (3*g2^5*t^7.163)/g1^7 + (3*t^7.184)/(g1^5*g2^5) + t^7.204/(g1^3*g2^15) + (3*g2^19*t^7.396)/g1^5 + (4*g2^9*t^7.416)/g1^3 + t^7.437/(g1*g2) + (g1*t^7.457)/g2^11 + (g1^3*t^7.478)/g2^21 + g1^3*g2^3*t^7.69 + (g1^5*t^7.71)/g2^7 + t^7.862/(g1^18*g2^18) + g1^5*g2^17*t^7.922 + (g1^9*t^7.963)/g2^3 + (g1^11*t^7.983)/g2^13 + t^8.094/(g1^16*g2^4) + t^8.115/(g1^14*g2^14) + t^8.135/(g1^12*g2^24) + t^8.156/(g1^10*g2^34) + g1^11*g2^11*t^8.195 + (g2^10*t^8.327)/g1^14 + (3*t^8.368)/(g1^10*g2^10) + t^8.388/(g1^8*g2^20) + t^8.409/(g1^6*g2^30) + g1^17*g2^5*t^8.469 + (g2^24*t^8.559)/g1^12 + (2*g2^4*t^8.6)/g1^8 + (3*t^8.621)/(g1^6*g2^6) + t^8.641/(g1^4*g2^16) + t^8.662/(g1^2*g2^26) + t^8.682/g2^36 + (g2^18*t^8.833)/g1^6 - (2*g2^8*t^8.853)/g1^4 - (5*t^8.874)/(g1^2*g2^2) - (2*t^8.894)/g2^12 + (g1^2*t^8.914)/g2^22 - t^4.437/(g1*g2*y) - t^7.057/(g1^7*g2^7*y) - (g2^7*t^7.29)/(g1^5*y) - t^7.331/(g1*g2^13*y) + (g2^11*t^7.543)/(g1*y) + (g1^3*t^7.584)/(g2^9*y) + (g1^5*g2^5*t^7.816)/y + (g2^2*t^8.474)/(g1^10*y) + (2*t^8.494)/(g1^8*g2^8*y) + t^8.515/(g1^6*g2^18*y) + (2*g2^6*t^8.727)/(g1^6*y) + (3*t^8.747)/(g1^4*g2^4*y) + (2*t^8.768)/(g1^2*g2^14*y) + (g2^10*t^8.98)/(g1^2*y) - (t^4.437*y)/(g1*g2) - (t^7.057*y)/(g1^7*g2^7) - (g2^7*t^7.29*y)/g1^5 - (t^7.331*y)/(g1*g2^13) + (g2^11*t^7.543*y)/g1 + (g1^3*t^7.584*y)/g2^9 + g1^5*g2^5*t^7.816*y + (g2^2*t^8.474*y)/g1^10 + (2*t^8.494*y)/(g1^8*g2^8) + (t^8.515*y)/(g1^6*g2^18) + (2*g2^6*t^8.727*y)/g1^6 + (3*t^8.747*y)/(g1^4*g2^4) + (2*t^8.768*y)/(g1^2*g2^14) + (g2^10*t^8.98*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 50786 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ | 0.7037 | 0.8634 | 0.8151 | [M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]] | t^2.674 + t^2.783 + 2*t^2.891 + t^3. + t^3.109 + t^3.326 + t^4.011 + 2*t^4.337 + t^4.446 + 3*t^4.663 + 2*t^4.772 + t^4.88 + t^5.348 + t^5.457 + 2*t^5.565 + t^5.674 + 5*t^5.783 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
| 55263 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7097 | 0.8734 | 0.8125 | [M:[0.9433, 1.048, 0.9608, 0.8561, 1.048, 0.952, 0.952], q:[0.4324, 0.6243], qb:[0.5196, 0.5196], phi:[0.476]] | t^2.568 + t^2.83 + 3*t^2.856 + t^2.882 + t^3.432 + t^4.023 + 2*t^4.284 + 3*t^4.546 + t^4.598 + 2*t^4.86 + t^5.137 + t^5.174 + t^5.398 + 2*t^5.424 + t^5.451 + t^5.66 + t^5.686 + 7*t^5.712 + t^5.739 + t^5.765 - 5*t^6. - t^4.428/y - t^4.428*y | detail | |
| 55078 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ | 0.7044 | 0.8644 | 0.815 | [M:[0.921, 1.0395, 1.0, 0.8816, 1.0395, 0.9605], q:[0.4605, 0.6184], qb:[0.5, 0.5], phi:[0.4803]] | t^2.645 + t^2.763 + 2*t^2.882 + t^3. + t^3.118 + t^3.355 + t^4.204 + 2*t^4.322 + 3*t^4.441 + t^4.678 + 2*t^4.796 + t^5.151 + t^5.289 + t^5.408 + 2*t^5.526 + t^5.645 + 5*t^5.763 + t^5.882 - 2*t^6. - t^4.441/y - t^4.441*y | detail | |
| 55199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7184 | 0.8903 | 0.8069 | [M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]] | 2*t^2.5 + t^2.798 + 2*t^2.833 + t^2.868 + t^3.167 + t^3.952 + 2*t^4.25 + 3*t^4.548 + t^4.618 + 2*t^4.917 + 3*t^5. + t^5.285 + 2*t^5.298 + 3*t^5.333 + 2*t^5.368 + t^5.597 + 6*t^5.667 + t^5.737 + t^5.965 - 4*t^6. - t^4.417/y - t^4.417*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46615 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7171 | 0.8807 | 0.8142 | [M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. - t^4.382/y - t^4.382*y | detail |