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 |
|---|---|---|---|---|---|---|---|---|---|
| 46154 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6975 | 0.8554 | 0.8154 | [M:[1.0181, 0.9096, 0.9458, 1.0542], q:[0.5258, 0.4562], qb:[0.5646, 0.4896], phi:[0.491]] | [M:[[2, 2], [-10, -10], [-6, -6], [6, 6]], q:[[4, 10], [-6, -12]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.729 + t^2.837 + t^2.946 + t^3.046 + t^3.054 + t^3.062 + t^3.163 + t^4.21 + t^4.31 + t^4.411 + t^4.419 + t^4.519 + t^4.535 + t^4.628 + t^4.636 + t^4.744 + t^4.86 + t^5.458 + t^5.566 + t^5.675 + 2*t^5.783 + 2*t^5.892 + t^5.992 - 2*t^6. + t^6.008 + t^6.092 + t^6.108 + t^6.124 + t^6.217 + t^6.939 + t^7.039 + t^7.047 + t^7.14 + t^7.148 + t^7.156 + t^7.248 + 2*t^7.256 + t^7.272 + 2*t^7.356 + t^7.364 + t^7.372 + t^7.457 + 2*t^7.465 + t^7.481 + t^7.565 + t^7.573 + t^7.581 + t^7.597 + t^7.674 + t^7.69 + t^7.698 + t^7.79 + t^7.806 + t^7.907 + t^7.923 + t^8.023 + t^8.187 + t^8.295 + t^8.404 + t^8.42 + 2*t^8.512 + t^8.52 + 3*t^8.621 + t^8.721 - t^8.737 + t^8.745 + t^8.821 - t^8.837 + t^8.845 + t^8.93 - 2*t^8.946 + t^8.954 - t^4.473/y - t^7.202/y + t^7.744/y + t^8.566/y + t^8.675/y + t^8.775/y + (2*t^8.783)/y + t^8.791/y + t^8.884/y + (2*t^8.892)/y + t^8.9/y + t^8.992/y - t^4.473*y - t^7.202*y + t^7.744*y + t^8.566*y + t^8.675*y + t^8.775*y + 2*t^8.783*y + t^8.791*y + t^8.884*y + 2*t^8.892*y + t^8.9*y + t^8.992*y | t^2.729/(g1^10*g2^10) + t^2.837/(g1^6*g2^6) + t^2.946/(g1^2*g2^2) + g1^4*g2^16*t^3.046 + g1^2*g2^2*t^3.054 + t^3.062/g2^12 + g1^6*g2^6*t^3.163 + t^4.21/(g1^13*g2^25) + t^4.31/(g1^7*g2^7) + (g2^11*t^4.411)/g1 + t^4.419/(g1^3*g2^3) + g1^3*g2^15*t^4.519 + t^4.535/(g1*g2^13) + g1^7*g2^19*t^4.628 + g1^5*g2^5*t^4.636 + g1^9*g2^9*t^4.744 + (g1^11*t^4.86)/g2 + t^5.458/(g1^20*g2^20) + t^5.566/(g1^16*g2^16) + t^5.675/(g1^12*g2^12) + (2*t^5.783)/(g1^8*g2^8) + (2*t^5.892)/(g1^4*g2^4) + g1^2*g2^14*t^5.992 - 2*t^6. + t^6.008/(g1^2*g2^14) + g1^8*g2^32*t^6.092 + g1^4*g2^4*t^6.108 + t^6.124/g2^24 + g1^8*g2^8*t^6.217 + t^6.939/(g1^23*g2^35) + t^7.039/(g1^17*g2^17) + t^7.047/(g1^19*g2^31) + (g2*t^7.14)/g1^11 + t^7.148/(g1^13*g2^13) + t^7.156/(g1^15*g2^27) + (g2^5*t^7.248)/g1^7 + (2*t^7.256)/(g1^9*g2^9) + t^7.272/(g1^13*g2^37) + (2*g2^9*t^7.356)/g1^3 + t^7.364/(g1^5*g2^5) + t^7.372/(g1^7*g2^19) + g1^3*g2^27*t^7.457 + 2*g1*g2^13*t^7.465 + t^7.481/(g1^3*g2^15) + g1^7*g2^31*t^7.565 + g1^5*g2^17*t^7.573 + g1^3*g2^3*t^7.581 + t^7.597/(g1*g2^25) + g1^11*g2^35*t^7.674 + g1^7*g2^7*t^7.69 + (g1^5*t^7.698)/g2^7 + g1^13*g2^25*t^7.79 + (g1^9*t^7.806)/g2^3 + g1^15*g2^15*t^7.907 + (g1^11*t^7.923)/g2^13 + g1^17*g2^5*t^8.023 + t^8.187/(g1^30*g2^30) + t^8.295/(g1^26*g2^26) + t^8.404/(g1^22*g2^22) + t^8.42/(g1^26*g2^50) + (2*t^8.512)/(g1^18*g2^18) + t^8.52/(g1^20*g2^32) + (3*t^8.621)/(g1^14*g2^14) + (g2^4*t^8.721)/g1^8 - t^8.737/(g1^12*g2^24) + t^8.745/(g1^14*g2^38) + (g2^22*t^8.821)/g1^2 - t^8.837/(g1^6*g2^6) + t^8.845/(g1^8*g2^20) + g1^2*g2^26*t^8.93 - (2*t^8.946)/(g1^2*g2^2) + t^8.954/(g1^4*g2^16) - t^4.473/(g1*g2*y) - t^7.202/(g1^11*g2^11*y) + (g1^9*g2^9*t^7.744)/y + t^8.566/(g1^16*g2^16*y) + t^8.675/(g1^12*g2^12*y) + (g2^6*t^8.775)/(g1^6*y) + (2*t^8.783)/(g1^8*g2^8*y) + t^8.791/(g1^10*g2^22*y) + (g2^10*t^8.884)/(g1^2*y) + (2*t^8.892)/(g1^4*g2^4*y) + t^8.9/(g1^6*g2^18*y) + (g1^2*g2^14*t^8.992)/y - (t^4.473*y)/(g1*g2) - (t^7.202*y)/(g1^11*g2^11) + g1^9*g2^9*t^7.744*y + (t^8.566*y)/(g1^16*g2^16) + (t^8.675*y)/(g1^12*g2^12) + (g2^6*t^8.775*y)/g1^6 + (2*t^8.783*y)/(g1^8*g2^8) + (t^8.791*y)/(g1^10*g2^22) + (g2^10*t^8.884*y)/g1^2 + (2*t^8.892*y)/(g1^4*g2^4) + (t^8.9*y)/(g1^6*g2^18) + g1^2*g2^14*t^8.992*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 |
|---|---|---|---|---|---|---|---|---|
| 46747 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ | 0.7035 | 0.8668 | 0.8116 | [M:[1.0251, 0.8746, 0.9248, 1.0752, 0.9248], q:[0.535, 0.4399], qb:[0.5904, 0.4849], phi:[0.4875]] | t^2.624 + 2*t^2.774 + t^2.925 + t^3.06 + t^3.075 + t^3.091 + t^4.102 + t^4.237 + t^4.372 + t^4.387 + t^4.522 + t^4.553 + t^4.673 + t^4.688 + t^4.839 + t^5.005 + t^5.248 + 2*t^5.398 + 3*t^5.549 + 3*t^5.699 + t^5.834 + 2*t^5.85 + t^5.865 + t^5.985 - 3*t^6. - t^4.462/y - t^4.462*y | detail | |
| 46768 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[1.0156, 0.9221, 0.9532, 1.0468, 1.0156], q:[0.5224, 0.462], qb:[0.5555, 0.4912], phi:[0.4922]] | t^2.766 + t^2.86 + t^3.041 + 2*t^3.047 + t^3.053 + t^3.14 + t^4.249 + t^4.336 + t^4.424 + t^4.43 + t^4.517 + t^4.529 + t^4.611 + t^4.617 + t^4.71 + t^4.81 + t^5.532 + t^5.626 + 2*t^5.813 + 2*t^5.906 - 3*t^6. - t^4.477/y - t^4.477*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45947 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7145 | 0.8771 | 0.8147 | [M:[1.0672, 0.9328, 0.7984, 0.9328], q:[0.4664, 0.4664], qb:[0.6008, 0.6008], phi:[0.4664]] | t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. - t^4.399/y - t^4.399*y | detail |