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 |
|---|---|---|---|---|---|---|---|---|---|
| 351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | [M:[[4, 4], [-12, -12], [12, 12], [-5, 7]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^6.051 + t^6.106 + t^6.158 + 2*t^6.315 + 3*t^6.367 + 2*t^6.418 + t^6.469 + t^6.52 + 4*t^6.576 + 3*t^6.627 + t^6.678 + t^6.729 + t^6.733 + t^6.781 + t^6.784 + t^6.836 - t^6.938 + 4*t^6.993 + 3*t^7.045 + 2*t^7.096 - t^7.198 + 4*t^7.254 + t^7.305 + t^7.356 + 2*t^7.411 + t^7.462 + 3*t^7.514 - t^7.565 + t^7.62 + 3*t^7.671 + 2*t^7.723 + 2*t^7.774 - t^7.825 + t^7.829 + 4*t^7.881 + 5*t^7.932 + 2*t^7.983 + t^8.034 + t^8.089 + t^8.141 - 4*t^8.192 - 4*t^8.243 + t^8.247 - t^8.294 + 3*t^8.298 + 5*t^8.35 + 2*t^8.401 - t^8.503 + 3*t^8.507 + 4*t^8.559 + 2*t^8.61 + t^8.661 + 2*t^8.712 + t^8.716 + t^8.767 + 5*t^8.768 + 3*t^8.819 - 2*t^8.87 + 2*t^8.925 + 2*t^8.972 + 3*t^8.976 - t^4.565/y - t^6.757/y + t^7.384/y + (2*t^7.435)/y + (2*t^7.802)/y + t^7.853/y + (2*t^8.062)/y + t^8.113/y + (2*t^8.322)/y + (2*t^8.373)/y + t^8.48/y + (2*t^8.582)/y + t^8.633/y + (2*t^8.689)/y + (4*t^8.74)/y + t^8.791/y + t^8.949/y - t^4.565*y - t^6.757*y + t^7.384*y + 2*t^7.435*y + 2*t^7.802*y + t^7.853*y + 2*t^8.062*y + t^8.113*y + 2*t^8.322*y + 2*t^8.373*y + t^8.48*y + 2*t^8.582*y + t^8.633*y + 2*t^8.689*y + 4*t^8.74*y + t^8.791*y + t^8.949*y | (2*g2^7*t^2.192)/g1^5 + (g1^7*t^2.243)/g2^5 + g1^12*g2^12*t^2.61 + g1^4*g2^4*t^2.87 + t^3.13/(g1^4*g2^4) + t^3.39/(g1^12*g2^12) + g1*g2^13*t^3.497 + g1^13*g2*t^3.548 + (g2^5*t^3.757)/g1^7 + (g2^22*t^4.124)/g1^2 + g1^10*g2^10*t^4.175 + (g1^22*t^4.226)/g2^2 + (3*g2^14*t^4.384)/g1^10 + 2*g1^2*g2^2*t^4.435 + (g1^14*t^4.486)/g2^10 + 2*g1^7*g2^19*t^4.802 + g1^19*g2^7*t^4.853 + (2*g2^11*t^5.062)/g1 + (g1^11*t^5.113)/g2 + g1^24*g2^24*t^5.219 + (2*g2^3*t^5.322)/g1^9 + (g1^3*t^5.373)/g2^9 + g1^16*g2^16*t^5.48 + t^5.582/(g1^17*g2^5) + (2*g2^20*t^5.689)/g1^4 + 4*g1^8*g2^8*t^5.74 + (g1^20*t^5.791)/g2^4 + (g2^12*t^5.949)/g1^12 - t^6. - (g1^12*t^6.051)/g2^12 + g1^13*g2^25*t^6.106 + g1^25*g2^13*t^6.158 + (2*g2^29*t^6.315)/g1^7 + 3*g1^5*g2^17*t^6.367 + 2*g1^17*g2^5*t^6.418 + (g1^29*t^6.469)/g2^7 + t^6.52/(g1^16*g2^16) + (4*g2^21*t^6.576)/g1^15 + (3*g2^9*t^6.627)/g1^3 + (g1^9*t^6.678)/g2^3 + (g1^21*t^6.729)/g2^15 + g1^10*g2^34*t^6.733 + t^6.781/(g1^24*g2^24) + g1^22*g2^22*t^6.784 + g1^34*g2^10*t^6.836 - (g1*t^6.938)/g2^11 + 4*g1^2*g2^26*t^6.993 + 3*g1^14*g2^14*t^7.045 + 2*g1^26*g2^2*t^7.096 - t^7.198/(g1^7*g2^19) + (4*g2^18*t^7.254)/g1^6 + g1^6*g2^6*t^7.305 + (g1^18*t^7.356)/g2^6 + 2*g1^19*g2^31*t^7.411 + g1^31*g2^19*t^7.462 + (3*g2^10*t^7.514)/g1^14 - t^7.565/(g1^2*g2^2) + (g2^35*t^7.62)/g1 + 3*g1^11*g2^23*t^7.671 + 2*g1^23*g2^11*t^7.723 + (g1^35*t^7.774)/g2 + (g2^2*t^7.774)/g1^22 - t^7.825/(g1^10*g2^10) + g1^36*g2^36*t^7.829 + (4*g2^27*t^7.881)/g1^9 + 5*g1^3*g2^15*t^7.932 + 2*g1^15*g2^3*t^7.983 + (g1^27*t^8.034)/g2^9 + g1^28*g2^28*t^8.089 + (g2^19*t^8.141)/g1^17 - (4*g2^7*t^8.192)/g1^5 - (4*g1^7*t^8.243)/g2^5 + (g2^44*t^8.247)/g1^4 - (g1^19*t^8.294)/g2^17 + 3*g1^8*g2^32*t^8.298 + 5*g1^20*g2^20*t^8.35 + 2*g1^32*g2^8*t^8.401 + (g1^44*t^8.452)/g2^4 - t^8.452/(g1^13*g2) - t^8.503/(g1*g2^13) + (3*g2^36*t^8.507)/g1^12 + 4*g2^24*t^8.559 + 2*g1^12*g2^12*t^8.61 + g1^24*t^8.661 + (g1^36*t^8.712)/g2^12 + t^8.712/(g1^21*g2^9) + g1^25*g2^37*t^8.716 + g1^37*g2^25*t^8.767 + (5*g2^28*t^8.768)/g1^20 + (3*g2^16*t^8.819)/g1^8 - 2*g1^4*g2^4*t^8.87 + 2*g1^5*g2^41*t^8.925 + (g1^28*t^8.972)/g2^20 + t^8.972/(g1^29*g2^17) + 3*g1^17*g2^29*t^8.976 - t^4.565/(g1^2*g2^2*y) - (g2^5*t^6.757)/(g1^7*y) + (g2^14*t^7.384)/(g1^10*y) + (2*g1^2*g2^2*t^7.435)/y + (2*g1^7*g2^19*t^7.802)/y + (g1^19*g2^7*t^7.853)/y + (2*g2^11*t^8.062)/(g1*y) + (g1^11*t^8.113)/(g2*y) + (2*g2^3*t^8.322)/(g1^9*y) + (2*g1^3*t^8.373)/(g2^9*y) + (g1^16*g2^16*t^8.48)/y + (2*t^8.582)/(g1^17*g2^5*y) + t^8.633/(g1^5*g2^17*y) + (2*g2^20*t^8.689)/(g1^4*y) + (4*g1^8*g2^8*t^8.74)/y + (g1^20*t^8.791)/(g2^4*y) + (g2^12*t^8.949)/(g1^12*y) - (t^4.565*y)/(g1^2*g2^2) - (g2^5*t^6.757*y)/g1^7 + (g2^14*t^7.384*y)/g1^10 + 2*g1^2*g2^2*t^7.435*y + 2*g1^7*g2^19*t^7.802*y + g1^19*g2^7*t^7.853*y + (2*g2^11*t^8.062*y)/g1 + (g1^11*t^8.113*y)/g2 + (2*g2^3*t^8.322*y)/g1^9 + (2*g1^3*t^8.373*y)/g2^9 + g1^16*g2^16*t^8.48*y + (2*t^8.582*y)/(g1^17*g2^5) + (t^8.633*y)/(g1^5*g2^17) + (2*g2^20*t^8.689*y)/g1^4 + 4*g1^8*g2^8*t^8.74*y + (g1^20*t^8.791*y)/g2^4 + (g2^12*t^8.949*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 555 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.5462 | 0.7009 | 0.7793 | [M:[1.049, 0.853, 1.147, 0.853], q:[0.7622, 0.1888], qb:[0.4827, 0.6643], phi:[0.4755]] | t^2.014 + 3*t^2.559 + t^2.853 + t^3.147 + t^3.441 + t^3.735 + t^3.986 + t^4.029 + t^4.28 + t^4.323 + 2*t^4.573 + 2*t^4.867 + 5*t^5.118 + t^5.161 + 4*t^5.412 + 2*t^5.706 + t^5.749 - t^4.427/y - t^4.427*y | detail | |
| 556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6052 | 0.7938 | 0.7624 | [M:[0.9204, 1.2388, 0.7612, 0.7612], q:[0.7301, 0.3495], qb:[0.3495, 0.4117], phi:[0.5398]] | t^2.097 + 3*t^2.284 + t^2.761 + 2*t^3.239 + t^3.425 + 2*t^3.716 + 2*t^3.903 + t^4.09 + t^4.194 + 3*t^4.381 + 6*t^4.567 + t^4.858 + 3*t^5.045 + 2*t^5.336 + 7*t^5.522 + 3*t^5.709 + 3*t^6. - t^4.619/y - t^4.619*y | detail | |
| 1786 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6129 | 0.79 | 0.7758 | [M:[0.9693, 1.092, 0.908, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]] | t^2.135 + 2*t^2.319 + t^2.724 + t^2.908 + t^3.092 + t^3.276 + t^3.497 + t^3.681 + t^3.865 + t^4.086 + 2*t^4.27 + 3*t^4.454 + 3*t^4.638 + t^4.859 + 3*t^5.043 + 3*t^5.227 + 2*t^5.411 + t^5.448 + t^5.595 + 2*t^5.632 + 3*t^5.816 + t^6. - t^4.546/y - t^4.546*y | detail | |
| 559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6365 | 0.835 | 0.7622 | [M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]] | 4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y | detail | |
| 1789 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6335 | 0.8282 | 0.7649 | [M:[0.9646, 1.1063, 0.8937, 0.7188, 0.7897], q:[0.7411, 0.2943], qb:[0.4692, 0.4245], phi:[0.5177]] | 2*t^2.156 + t^2.29 + t^2.369 + t^2.681 + t^2.894 + t^3.106 + t^3.319 + t^3.497 + t^3.71 + t^4.1 + t^4.234 + 3*t^4.313 + t^4.368 + 2*t^4.447 + 2*t^4.525 + t^4.581 + t^4.66 + t^4.738 + 2*t^4.837 + t^4.971 + 3*t^5.05 + t^5.184 + 3*t^5.263 + t^5.362 + t^5.397 + 2*t^5.475 + t^5.575 + 2*t^5.653 + t^5.688 + 2*t^5.787 + 2*t^5.866 - t^6. - t^4.553/y - t^4.553*y | detail | |
| 1788 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6325 | 0.8243 | 0.7672 | [M:[0.9649, 1.1054, 0.8946, 0.7471, 0.8056], q:[0.7412, 0.2939], qb:[0.4414, 0.4532], phi:[0.5176]] | t^2.206 + 2*t^2.241 + t^2.417 + t^2.684 + t^2.895 + t^3.105 + t^3.316 + t^3.548 + t^3.794 + t^4.201 + t^4.236 + t^4.272 + t^4.412 + 2*t^4.447 + 3*t^4.483 + t^4.623 + 2*t^4.658 + t^4.833 + t^4.89 + 2*t^4.925 + 2*t^5.1 + 2*t^5.136 + 2*t^5.311 + 2*t^5.347 + t^5.367 + t^5.522 + t^5.558 + t^5.578 + t^5.733 + t^5.754 + 3*t^5.789 - t^6. - t^4.553/y - t^4.553*y | detail | |
| 557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.617 | 0.7991 | 0.7722 | [M:[0.9565, 1.1304, 0.8696, 0.7391], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]] | 3*t^2.217 + t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.522 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 3*t^4.826 + 3*t^5.087 + t^5.218 + 3*t^5.348 + t^5.478 + t^5.609 + 7*t^5.739 - t^6. - t^4.565/y - t^4.565*y | detail | |
| 1787 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6153 | 0.7974 | 0.7716 | [M:[0.9656, 1.1033, 0.8967, 0.707], q:[0.7414, 0.293], qb:[0.4828, 0.4139], phi:[0.5172]] | 2*t^2.121 + t^2.327 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.466 + 2*t^3.673 + t^4.035 + 4*t^4.242 + 3*t^4.448 + t^4.655 + 2*t^4.811 + 3*t^5.018 + 3*t^5.224 + t^5.38 + 2*t^5.431 + 3*t^5.587 + 5*t^5.793 - t^4.552/y - t^4.552*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 |
|---|---|---|---|---|---|---|---|---|---|
| 218 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.5976 | 0.7632 | 0.783 | [M:[0.9572, 1.1283, 0.8717], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | 2*t^2.218 + t^2.615 + t^2.872 + t^3.128 + t^3.385 + 2*t^3.525 + 2*t^3.782 + 3*t^4.179 + 3*t^4.436 + 2*t^4.833 + 2*t^5.09 + t^5.23 + 2*t^5.346 + t^5.487 + 5*t^5.743 - t^4.564/y - t^4.564*y | detail |