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 |
|---|---|---|---|---|---|---|---|---|---|
| 60 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.628 | 0.7573 | 0.8293 | [M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | [M:[[-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.11 + t^2.127 + t^2.81 + t^3.84 + 2*t^3.857 + t^3.873 + t^3.89 + t^3.906 + t^4.221 + t^4.237 + t^4.254 + t^4.92 + 2*t^4.937 + t^5.62 + t^5.951 + 2*t^5.967 + t^5.984 - t^6. + t^6.331 + t^6.348 + t^6.364 + t^6.38 + t^6.65 + 2*t^6.667 + t^6.683 + t^6.699 + t^6.716 - 2*t^7.08 - t^7.096 + t^7.681 + 2*t^7.697 + 3*t^7.714 + 2*t^7.73 + 3*t^7.746 + t^7.763 + t^7.779 + t^7.795 + t^7.812 + t^8.061 + 2*t^8.078 + t^8.094 - t^8.11 - t^8.127 - t^8.143 + t^8.429 + t^8.442 + t^8.458 + t^8.475 + t^8.491 + t^8.507 + t^8.761 + 2*t^8.777 + t^8.793 - 2*t^8.81 - t^8.826 - t^4.063/y - t^6.174/y - t^6.19/y + t^7.237/y + t^7.92/y + (2*t^7.937)/y + t^7.953/y - t^8.284/y - t^8.301/y - t^8.317/y + t^8.951/y + (3*t^8.967)/y + (3*t^8.984)/y - t^4.063*y - t^6.174*y - t^6.19*y + t^7.237*y + t^7.92*y + 2*t^7.937*y + t^7.953*y - t^8.284*y - t^8.301*y - t^8.317*y + t^8.951*y + 3*t^8.967*y + 3*t^8.984*y | t^2.11/(g1^7*g2) + t^2.127/(g1^4*g2^4) + g1^6*g2^6*t^2.81 + (g2^10*t^3.84)/g1^2 + 2*g1*g2^7*t^3.857 + g1^4*g2^4*t^3.873 + g1^7*g2*t^3.89 + (g1^10*t^3.906)/g2^2 + t^4.221/(g1^14*g2^2) + t^4.237/(g1^11*g2^5) + t^4.254/(g1^8*g2^8) + (g2^5*t^4.92)/g1 + 2*g1^2*g2^2*t^4.937 + g1^12*g2^12*t^5.62 + (g2^9*t^5.951)/g1^9 + (2*g2^6*t^5.967)/g1^6 + (g2^3*t^5.984)/g1^3 - t^6. + t^6.331/(g1^21*g2^3) + t^6.348/(g1^18*g2^6) + t^6.364/(g1^15*g2^9) + t^6.38/(g1^12*g2^12) + g1^4*g2^16*t^6.65 + 2*g1^7*g2^13*t^6.667 + g1^10*g2^10*t^6.683 + g1^13*g2^7*t^6.699 + g1^16*g2^4*t^6.716 - (2*g1*t^7.08)/g2^5 - (g1^4*t^7.096)/g2^8 + (g2^20*t^7.681)/g1^4 + (2*g2^17*t^7.697)/g1 + 3*g1^2*g2^14*t^7.714 + 2*g1^5*g2^11*t^7.73 + 3*g1^8*g2^8*t^7.746 + g1^11*g2^5*t^7.763 + g1^14*g2^2*t^7.779 + (g1^17*t^7.795)/g2 + (g1^20*t^7.812)/g2^4 + (g2^8*t^8.061)/g1^16 + (2*g2^5*t^8.078)/g1^13 + (g2^2*t^8.094)/g1^10 - t^8.11/(g1^7*g2) - t^8.127/(g1^4*g2^4) - t^8.143/(g1*g2^7) + g1^18*g2^18*t^8.429 + t^8.442/(g1^28*g2^4) + t^8.458/(g1^25*g2^7) + t^8.475/(g1^22*g2^10) + t^8.491/(g1^19*g2^13) + t^8.507/(g1^16*g2^16) + (g2^15*t^8.761)/g1^3 + 2*g2^12*t^8.777 + g1^3*g2^9*t^8.793 - 2*g1^6*g2^6*t^8.81 - g1^9*g2^3*t^8.826 - t^4.063/(g1^2*g2^2*y) - t^6.174/(g1^9*g2^3*y) - t^6.19/(g1^6*g2^6*y) + t^7.237/(g1^11*g2^5*y) + (g2^5*t^7.92)/(g1*y) + (2*g1^2*g2^2*t^7.937)/y + (g1^5*t^7.953)/(g2*y) - t^8.284/(g1^16*g2^4*y) - t^8.301/(g1^13*g2^7*y) - t^8.317/(g1^10*g2^10*y) + (g2^9*t^8.951)/(g1^9*y) + (3*g2^6*t^8.967)/(g1^6*y) + (3*g2^3*t^8.984)/(g1^3*y) - (t^4.063*y)/(g1^2*g2^2) - (t^6.174*y)/(g1^9*g2^3) - (t^6.19*y)/(g1^6*g2^6) + (t^7.237*y)/(g1^11*g2^5) + (g2^5*t^7.92*y)/g1 + 2*g1^2*g2^2*t^7.937*y + (g1^5*t^7.953*y)/g2 - (t^8.284*y)/(g1^16*g2^4) - (t^8.301*y)/(g1^13*g2^7) - (t^8.317*y)/(g1^10*g2^10) + (g2^9*t^8.951*y)/g1^9 + (3*g2^6*t^8.967*y)/g1^6 + (3*g2^3*t^8.984*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 90 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6279 | 0.7568 | 0.8297 | [M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. - t^4.062/y - t^4.062*y | detail | |
| 91 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[1.0], q:[0.7805, 0.7805], qb:[0.2195, 0.4638], phi:[0.4389]] | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y | detail | |
| 93 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6484 | 0.7957 | 0.8149 | [M:[0.6984, 0.7032], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | t^2.095 + 2*t^2.109 + t^2.836 + t^3.862 + 2*t^3.876 + t^3.905 + t^3.919 + t^4.19 + 2*t^4.205 + 3*t^4.219 + t^4.931 + 3*t^4.945 + t^5.672 + t^5.957 + 3*t^5.971 + 2*t^5.986 - 2*t^6. - t^4.055/y - t^4.055*y | detail | |
| 92 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6484 | 0.7955 | 0.815 | [M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]] | t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. - t^4.054/y - t^4.054*y | detail | |
| 1702 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.8238, 0.8238], qb:[0.4802, 0.4626], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail | |
| 87 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 0.8793], qb:[0.3966, 0.8793], phi:[0.2414]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*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 |
|---|---|---|---|---|---|---|---|---|---|
| 43 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail |