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 |
|---|---|---|---|---|---|---|---|---|---|
| 2516 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.7402 | 0.9337 | 0.7927 | [M:[0.8139, 1.0758, 0.9242, 0.9655, 1.0345, 0.8553, 0.6723, 0.9242], q:[0.6482, 0.5379], qb:[0.4276, 0.4966], phi:[0.4724]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [16, 0], [-19, -1], [8, 8]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.017 + t^2.442 + t^2.566 + 2*t^2.773 + t^2.835 + t^2.897 + t^3.103 + t^4.034 + t^4.19 + t^4.314 + t^4.397 + t^4.459 + t^4.521 + t^4.583 + 2*t^4.645 + 2*t^4.79 + 2*t^4.852 + t^4.883 + t^4.914 + t^4.976 + t^5.008 + t^5.12 + t^5.132 + 2*t^5.214 + t^5.276 + t^5.306 + 2*t^5.338 + t^5.4 + t^5.462 + 3*t^5.545 + 2*t^5.607 + 2*t^5.669 + t^5.731 + t^5.876 + t^5.938 - 3*t^6. + t^6.051 - t^6.124 + t^6.207 - 2*t^6.331 + t^6.414 - t^6.455 + t^6.476 + t^6.538 + t^6.6 + t^6.632 + t^6.662 + t^6.756 + 2*t^6.806 + t^6.838 + 2*t^6.868 + t^6.88 + t^6.9 + t^6.93 + 3*t^6.962 + t^6.992 + 2*t^7.024 + 3*t^7.086 + t^7.137 + t^7.148 + 2*t^7.169 + 2*t^7.21 + 3*t^7.231 + 4*t^7.293 + t^7.323 + t^7.325 + 2*t^7.355 + 4*t^7.417 + t^7.449 + 2*t^7.479 + t^7.5 + t^7.541 + 2*t^7.562 + t^7.573 + 3*t^7.624 + 2*t^7.656 + 2*t^7.686 + t^7.697 + t^7.718 + 2*t^7.748 + 2*t^7.78 - t^7.81 + t^7.842 + t^7.893 + 2*t^7.904 + t^7.955 + t^7.966 + 3*t^7.987 - 4*t^8.017 + t^8.028 + 2*t^8.049 + t^8.068 + 3*t^8.111 - t^8.141 + 2*t^8.173 + t^8.224 + t^8.235 + t^8.297 + 3*t^8.318 - 2*t^8.348 + 3*t^8.38 + t^8.431 - t^8.442 - 2*t^8.472 + t^8.493 + 2*t^8.504 + t^8.555 - 4*t^8.566 + t^8.587 + t^8.617 + t^8.649 + t^8.679 - t^8.69 + 2*t^8.711 - 7*t^8.773 + t^8.793 + 2*t^8.823 - 2*t^8.835 + t^8.855 + 2*t^8.885 - 7*t^8.897 + 2*t^8.917 + t^8.947 + 2*t^8.979 - t^4.417/y - t^6.434/y - t^6.859/y - t^6.983/y - t^7.19/y - t^7.252/y + t^7.459/y + (2*t^7.583)/y + t^7.645/y + (2*t^7.79)/y + (2*t^7.852)/y + t^7.914/y + t^7.976/y + t^8.008/y + t^8.12/y + (2*t^8.214)/y + t^8.276/y + (3*t^8.338)/y + (2*t^8.4)/y - t^8.451/y + t^8.462/y + (2*t^8.545)/y + (2*t^8.607)/y + (3*t^8.669)/y + t^8.731/y + t^8.876/y + t^8.938/y - t^4.417*y - t^6.434*y - t^6.859*y - t^6.983*y - t^7.19*y - t^7.252*y + t^7.459*y + 2*t^7.583*y + t^7.645*y + 2*t^7.79*y + 2*t^7.852*y + t^7.914*y + t^7.976*y + t^8.008*y + t^8.12*y + 2*t^8.214*y + t^8.276*y + 3*t^8.338*y + 2*t^8.4*y - t^8.451*y + t^8.462*y + 2*t^8.545*y + 2*t^8.607*y + 3*t^8.669*y + t^8.731*y + t^8.876*y + t^8.938*y | t^2.017/(g1^19*g2) + g1^20*g2^12*t^2.442 + g1^16*t^2.566 + 2*g1^8*g2^8*t^2.773 + g1^6*g2^2*t^2.835 + (g1^4*t^2.897)/g2^4 + (g2^4*t^3.103)/g1^4 + t^4.034/(g1^38*g2^2) + g1^11*g2^9*t^4.19 + (g1^7*t^4.314)/g2^3 + g1^3*g2^17*t^4.397 + g1*g2^11*t^4.459 + (g2^5*t^4.521)/g1 + t^4.583/(g1^3*g2) + (2*t^4.645)/(g1^5*g2^7) + (2*g2^7*t^4.79)/g1^11 + (2*g2*t^4.852)/g1^13 + g1^40*g2^24*t^4.883 + t^4.914/(g1^15*g2^5) + t^4.976/(g1^17*g2^11) + g1^36*g2^12*t^5.008 + (g2^3*t^5.12)/g1^23 + g1^32*t^5.132 + 2*g1^28*g2^20*t^5.214 + g1^26*g2^14*t^5.276 + t^5.306/(g1^29*g2^15) + 2*g1^24*g2^8*t^5.338 + g1^22*g2^2*t^5.4 + (g1^20*t^5.462)/g2^4 + 3*g1^16*g2^16*t^5.545 + 2*g1^14*g2^10*t^5.607 + 2*g1^12*g2^4*t^5.669 + (g1^10*t^5.731)/g2^2 + g1^4*g2^12*t^5.876 + g1^2*g2^6*t^5.938 - 3*t^6. + t^6.051/(g1^57*g2^3) - t^6.124/(g1^4*g2^12) + (g2^8*t^6.207)/g1^8 - (2*t^6.331)/(g1^12*g2^4) + (g2^16*t^6.414)/g1^16 - t^6.455/(g1^16*g2^16) + (g2^10*t^6.476)/g1^18 + (g2^4*t^6.538)/g1^20 + t^6.6/(g1^22*g2^2) + g1^31*g2^21*t^6.632 + t^6.662/(g1^24*g2^8) + g1^27*g2^9*t^6.756 + (2*g2^6*t^6.806)/g1^30 + g1^23*g2^29*t^6.838 + (2*t^6.868)/g1^32 + (g1^23*t^6.88)/g2^3 + g1^21*g2^23*t^6.9 + t^6.93/(g1^34*g2^6) + 3*g1^19*g2^17*t^6.962 + t^6.992/(g1^36*g2^12) + 2*g1^17*g2^11*t^7.024 + 3*g1^15*g2^5*t^7.086 + (g2^2*t^7.137)/g1^42 + (g1^13*t^7.148)/g2 + 2*g1^11*g2^25*t^7.169 + (2*g1^11*t^7.21)/g2^7 + 3*g1^9*g2^19*t^7.231 + 4*g1^7*g2^13*t^7.293 + t^7.323/(g1^48*g2^16) + g1^60*g2^36*t^7.325 + 2*g1^5*g2^7*t^7.355 + 4*g1^3*g2*t^7.417 + g1^56*g2^24*t^7.449 + (2*g1*t^7.479)/g2^5 + (g2^21*t^7.5)/g1 + t^7.541/(g1*g2^11) + (2*g2^15*t^7.562)/g1^3 + g1^52*g2^12*t^7.573 + (3*g2^9*t^7.624)/g1^5 + 2*g1^48*g2^32*t^7.656 + (2*g2^3*t^7.686)/g1^7 + g1^48*t^7.697 + g1^46*g2^26*t^7.718 + (2*t^7.748)/(g1^9*g2^3) + 2*g1^44*g2^20*t^7.78 - t^7.81/(g1^11*g2^9) + g1^42*g2^14*t^7.842 + (g2^11*t^7.893)/g1^15 + 2*g1^40*g2^8*t^7.904 + (g2^5*t^7.955)/g1^17 + g1^38*g2^2*t^7.966 + 3*g1^36*g2^28*t^7.987 - (4*t^8.017)/(g1^19*g2) + (g1^36*t^8.028)/g2^4 + 2*g1^34*g2^22*t^8.049 + t^8.068/(g1^76*g2^4) + 3*g1^32*g2^16*t^8.111 - t^8.141/(g1^23*g2^13) + 2*g1^30*g2^10*t^8.173 + (g2^7*t^8.224)/g1^27 + g1^28*g2^4*t^8.235 + (g1^26*t^8.297)/g2^2 + 3*g1^24*g2^24*t^8.318 - (2*t^8.348)/(g1^31*g2^5) + 3*g1^22*g2^18*t^8.38 + (g2^15*t^8.431)/g1^35 - g1^20*g2^12*t^8.442 - (2*t^8.472)/(g1^35*g2^17) + (g2^9*t^8.493)/g1^37 + 2*g1^18*g2^6*t^8.504 + (g2^3*t^8.555)/g1^39 - 4*g1^16*t^8.566 + g1^14*g2^26*t^8.587 + t^8.617/(g1^41*g2^3) + g1^12*g2^20*t^8.649 + t^8.679/(g1^43*g2^9) - (g1^12*t^8.69)/g2^12 + 2*g1^10*g2^14*t^8.711 - 7*g1^8*g2^8*t^8.773 + g1^6*g2^34*t^8.793 + (2*g2^5*t^8.823)/g1^49 - 2*g1^6*g2^2*t^8.835 + g1^4*g2^28*t^8.855 + (2*t^8.885)/(g1^51*g2) - (7*g1^4*t^8.897)/g2^4 + 2*g1^2*g2^22*t^8.917 + t^8.947/(g1^53*g2^7) + 2*g2^16*t^8.979 - (g1^3*g2*t^4.417)/y - t^6.434/(g1^16*y) - (g1^23*g2^13*t^6.859)/y - (g1^19*g2*t^6.983)/y - (g1^11*g2^9*t^7.19)/y - (g1^9*g2^3*t^7.252)/y + (g1*g2^11*t^7.459)/y + (2*t^7.583)/(g1^3*g2*y) + t^7.645/(g1^5*g2^7*y) + (2*g2^7*t^7.79)/(g1^11*y) + (2*g2*t^7.852)/(g1^13*y) + t^7.914/(g1^15*g2^5*y) + t^7.976/(g1^17*g2^11*y) + (g1^36*g2^12*t^8.008)/y + (g2^3*t^8.12)/(g1^23*y) + (2*g1^28*g2^20*t^8.214)/y + (g1^26*g2^14*t^8.276)/y + (3*g1^24*g2^8*t^8.338)/y + (2*g1^22*g2^2*t^8.4)/y - t^8.451/(g1^35*g2*y) + (g1^20*t^8.462)/(g2^4*y) + (2*g1^16*g2^16*t^8.545)/y + (2*g1^14*g2^10*t^8.607)/y + (3*g1^12*g2^4*t^8.669)/y + (g1^10*t^8.731)/(g2^2*y) + (g1^4*g2^12*t^8.876)/y + (g1^2*g2^6*t^8.938)/y - g1^3*g2*t^4.417*y - (t^6.434*y)/g1^16 - g1^23*g2^13*t^6.859*y - g1^19*g2*t^6.983*y - g1^11*g2^9*t^7.19*y - g1^9*g2^3*t^7.252*y + g1*g2^11*t^7.459*y + (2*t^7.583*y)/(g1^3*g2) + (t^7.645*y)/(g1^5*g2^7) + (2*g2^7*t^7.79*y)/g1^11 + (2*g2*t^7.852*y)/g1^13 + (t^7.914*y)/(g1^15*g2^5) + (t^7.976*y)/(g1^17*g2^11) + g1^36*g2^12*t^8.008*y + (g2^3*t^8.12*y)/g1^23 + 2*g1^28*g2^20*t^8.214*y + g1^26*g2^14*t^8.276*y + 3*g1^24*g2^8*t^8.338*y + 2*g1^22*g2^2*t^8.4*y - (t^8.451*y)/(g1^35*g2) + (g1^20*t^8.462*y)/g2^4 + 2*g1^16*g2^16*t^8.545*y + 2*g1^14*g2^10*t^8.607*y + 3*g1^12*g2^4*t^8.669*y + (g1^10*t^8.731*y)/g2^2 + g1^4*g2^12*t^8.876*y + g1^2*g2^6*t^8.938*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 |
|---|---|---|---|---|---|---|---|---|
| 4571 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6238 | 0.7743 | 0.8057 | [X:[1.407], M:[0.8686, 0.9519, 1.0481, 0.7724, 1.2276, 0.593, 0.9519, 1.0481], q:[0.6554, 0.476], qb:[0.2965, 0.7516], phi:[0.4551]] | t^2.317 + t^2.606 + t^2.731 + t^2.856 + 2*t^3.144 + 2*t^3.683 + 3*t^4.221 + t^4.51 + t^4.76 + 2*t^5.048 + t^5.212 + t^5.298 + t^5.337 + 2*t^5.462 + 2*t^5.587 + 2*t^5.75 + 3*t^5.875 - t^6. - t^4.365/y - t^4.365*y | detail | |
| 4570 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.656 | 0.8262 | 0.794 | [M:[1.0335, 0.8824, 1.1176, 0.7983, 1.2017, 0.7142, 0.8069, 1.1176], q:[0.5253, 0.4412], qb:[0.3571, 0.7605], phi:[0.479]] | t^2.142 + t^2.395 + t^2.421 + t^2.874 + t^3.1 + 2*t^3.353 + t^3.605 + t^3.832 + 2*t^4.084 + t^4.285 + t^4.337 + t^4.537 + t^4.563 + t^4.589 + t^4.79 + t^4.815 + t^4.841 + t^5.016 + t^5.243 + t^5.269 + t^5.294 + 2*t^5.495 + t^5.521 + 2*t^5.748 + 2*t^5.773 + 2*t^5.974 - 2*t^6. - t^4.437/y - t^4.437*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.847, 1.0534, 0.9466, 0.9538, 1.0462, 0.8541, 0.6708], q:[0.6263, 0.5267], qb:[0.4271, 0.5195], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |