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 |
|---|---|---|---|---|---|---|---|---|---|
| 2872 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ | 0.566 | 0.7123 | 0.7946 | [X:[1.2385], M:[1.0795, 0.7615, 0.9205, 0.682, 1.0795, 1.0], q:[0.591, 0.9885], qb:[0.3295, 0.409], phi:[0.4205]] | [X:[[3]], M:[[1], [-3], [-1], [-4], [1], [0]], q:[[-2], [3]], qb:[[1], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}X_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}X_{1}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.046 + t^2.216 + t^2.523 + t^3. + 2*t^3.239 + t^3.477 + t^3.716 + t^4.092 + t^4.193 + t^4.261 + t^4.431 + t^4.569 + 2*t^4.739 + 2*t^5.046 + t^5.216 + t^5.284 + 2*t^5.454 + t^5.523 + t^5.693 + 2*t^5.761 + t^5.931 - t^6. + t^6.138 + 2*t^6.239 + t^6.307 + t^6.408 + 3*t^6.477 - t^6.546 + t^6.615 + t^6.647 + 2*t^6.716 + t^6.784 + 2*t^6.954 - t^7.023 + 2*t^7.092 + t^7.193 + t^7.261 + t^7.33 + 3*t^7.431 - t^7.5 + 2*t^7.569 + 2*t^7.67 + t^7.807 + 2*t^7.908 + 2*t^7.977 - t^8.046 + t^8.147 + t^8.184 - 2*t^8.216 + 2*t^8.284 + t^8.353 + t^8.385 + 2*t^8.454 - t^8.592 + t^8.624 + t^8.661 + 2*t^8.693 + t^8.83 + t^8.862 + 2*t^8.931 - t^4.261/y - t^6.307/y - t^6.784/y + t^7.023/y + t^7.261/y - t^7.5/y + t^7.569/y + (2*t^7.739)/y + t^8.046/y + (2*t^8.216)/y + (2*t^8.284)/y - t^8.353/y + (2*t^8.454)/y + (2*t^8.523)/y + t^8.693/y + (3*t^8.761)/y - t^8.83/y + t^8.931/y - t^4.261*y - t^6.307*y - t^6.784*y + t^7.023*y + t^7.261*y - t^7.5*y + t^7.569*y + 2*t^7.739*y + t^8.046*y + 2*t^8.216*y + 2*t^8.284*y - t^8.353*y + 2*t^8.454*y + 2*t^8.523*y + t^8.693*y + 3*t^8.761*y - t^8.83*y + t^8.931*y | t^2.046/g1^4 + g1^3*t^2.216 + t^2.523/g1^2 + t^3. + 2*g1*t^3.239 + g1^2*t^3.477 + g1^3*t^3.716 + t^4.092/g1^8 + g1^5*t^4.193 + t^4.261/g1 + g1^6*t^4.431 + t^4.569/g1^6 + 2*g1*t^4.739 + (2*t^5.046)/g1^4 + g1^3*t^5.216 + t^5.284/g1^3 + 2*g1^4*t^5.454 + t^5.523/g1^2 + g1^5*t^5.693 + (2*t^5.761)/g1 + g1^6*t^5.931 - t^6. + t^6.138/g1^12 + 2*g1*t^6.239 + t^6.307/g1^5 + g1^8*t^6.408 + 3*g1^2*t^6.477 - t^6.546/g1^4 + t^6.615/g1^10 + g1^9*t^6.647 + 2*g1^3*t^6.716 + t^6.784/g1^3 + 2*g1^4*t^6.954 - t^7.023/g1^2 + (2*t^7.092)/g1^8 + g1^5*t^7.193 + t^7.261/g1 + t^7.33/g1^7 + 3*g1^6*t^7.431 - t^7.5 + (2*t^7.569)/g1^6 + 2*g1^7*t^7.67 + t^7.807/g1^5 + 2*g1^8*t^7.908 + 2*g1^2*t^7.977 - t^8.046/g1^4 + g1^9*t^8.147 + t^8.184/g1^16 - 2*g1^3*t^8.216 + (2*t^8.284)/g1^3 + t^8.353/g1^9 + g1^10*t^8.385 + 2*g1^4*t^8.454 - t^8.592/g1^8 + g1^11*t^8.624 + t^8.661/g1^14 + 2*g1^5*t^8.693 + t^8.83/g1^7 + g1^12*t^8.862 + 2*g1^6*t^8.931 - t^4.261/(g1*y) - t^6.307/(g1^5*y) - t^6.784/(g1^3*y) + t^7.023/(g1^2*y) + t^7.261/(g1*y) - t^7.5/y + t^7.569/(g1^6*y) + (2*g1*t^7.739)/y + t^8.046/(g1^4*y) + (2*g1^3*t^8.216)/y + (2*t^8.284)/(g1^3*y) - t^8.353/(g1^9*y) + (2*g1^4*t^8.454)/y + (2*t^8.523)/(g1^2*y) + (g1^5*t^8.693)/y + (3*t^8.761)/(g1*y) - t^8.83/(g1^7*y) + (g1^6*t^8.931)/y - (t^4.261*y)/g1 - (t^6.307*y)/g1^5 - (t^6.784*y)/g1^3 + (t^7.023*y)/g1^2 + (t^7.261*y)/g1 - t^7.5*y + (t^7.569*y)/g1^6 + 2*g1*t^7.739*y + (t^8.046*y)/g1^4 + 2*g1^3*t^8.216*y + (2*t^8.284*y)/g1^3 - (t^8.353*y)/g1^9 + 2*g1^4*t^8.454*y + (2*t^8.523*y)/g1^2 + g1^5*t^8.693*y + (3*t^8.761*y)/g1 - (t^8.83*y)/g1^7 + g1^6*t^8.931*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 |
|---|---|---|---|---|---|---|---|---|
| 3436 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5526 | 0.6903 | 0.8005 | [X:[1.2221], M:[1.074, 0.7779, 0.926, 0.7039, 1.074, 1.0, 1.148], q:[0.602, 0.9721], qb:[0.324, 0.398], phi:[0.426]] | t^2.112 + t^2.166 + t^3. + 2*t^3.222 + 2*t^3.444 + t^3.666 + t^4.11 + t^4.224 + t^4.278 + t^4.332 + t^4.722 + t^5.112 + t^5.166 + t^5.334 + 2*t^5.388 + t^5.556 + 2*t^5.61 + t^5.832 - 2*t^6. - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1855 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6058 | 0.7557 | 0.8017 | [X:[1.4759], M:[0.9867, 0.5241, 1.0133, 0.7954, 0.9867, 0.742], q:[0.7122, 0.9035], qb:[0.3012, 0.5458], phi:[0.3844]] | t^2.226 + t^2.306 + t^2.386 + t^2.541 + 2*t^2.96 + t^3.694 + t^4.348 + t^4.428 + t^4.452 + t^4.532 + 2*t^4.612 + t^4.692 + t^4.767 + t^4.772 + 2*t^4.847 + t^4.927 + t^5.082 + 2*t^5.186 + t^5.266 + t^5.346 + 2*t^5.501 + 3*t^5.92 - 2*t^6. - t^4.153/y - t^4.153*y | detail |