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 |
|---|---|---|---|---|---|---|---|---|---|
| 1379 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7012 | 0.8624 | 0.8131 | [M:[0.9321, 1.0226, 1.0679, 0.8868, 0.9321, 1.0226], q:[0.4887, 0.5793], qb:[0.4434, 0.534], phi:[0.4887]] | [M:[[-6], [2], [6], [-10], [-6], [2]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -4 | t^2.66 + 2*t^2.796 + 4*t^3.068 + t^4.126 + t^4.262 + 2*t^4.398 + 2*t^4.534 + 2*t^4.67 + t^4.806 + t^4.942 + t^5.321 + 2*t^5.457 + 2*t^5.592 + 2*t^5.728 + 5*t^5.864 - 4*t^6. + 6*t^6.136 - 2*t^6.272 - t^6.408 + t^6.787 + 3*t^6.923 + 3*t^7.058 + 6*t^7.194 + 4*t^7.33 + 5*t^7.466 + 3*t^7.602 + 3*t^7.738 + t^7.981 + 2*t^8.01 + 2*t^8.117 + 3*t^8.253 + 5*t^8.389 + 4*t^8.524 + 3*t^8.66 - 3*t^8.796 + 6*t^8.932 - t^4.466/y - t^7.126/y - t^7.262/y + t^7.398/y - t^7.534/y + t^7.67/y + t^7.806/y + (2*t^8.457)/y + t^8.592/y + (4*t^8.728)/y + (8*t^8.864)/y - t^4.466*y - t^7.126*y - t^7.262*y + t^7.398*y - t^7.534*y + t^7.67*y + t^7.806*y + 2*t^8.457*y + t^8.592*y + 4*t^8.728*y + 8*t^8.864*y | t^2.66/g1^10 + (2*t^2.796)/g1^6 + 4*g1^2*t^3.068 + t^4.126/g1^11 + t^4.262/g1^7 + (2*t^4.398)/g1^3 + 2*g1*t^4.534 + 2*g1^5*t^4.67 + g1^9*t^4.806 + g1^13*t^4.942 + t^5.321/g1^20 + (2*t^5.457)/g1^16 + (2*t^5.592)/g1^12 + (2*t^5.728)/g1^8 + (5*t^5.864)/g1^4 - 4*t^6. + 6*g1^4*t^6.136 - 2*g1^8*t^6.272 - g1^12*t^6.408 + t^6.787/g1^21 + (3*t^6.923)/g1^17 + (3*t^7.058)/g1^13 + (6*t^7.194)/g1^9 + (4*t^7.33)/g1^5 + (5*t^7.466)/g1 + 3*g1^3*t^7.602 + 3*g1^7*t^7.738 + t^7.981/g1^30 + 2*g1^15*t^8.01 + (2*t^8.117)/g1^26 + (3*t^8.253)/g1^22 + (5*t^8.389)/g1^18 + (4*t^8.524)/g1^14 + (3*t^8.66)/g1^10 - (3*t^8.796)/g1^6 + (6*t^8.932)/g1^2 - t^4.466/(g1*y) - t^7.126/(g1^11*y) - t^7.262/(g1^7*y) + t^7.398/(g1^3*y) - (g1*t^7.534)/y + (g1^5*t^7.67)/y + (g1^9*t^7.806)/y + (2*t^8.457)/(g1^16*y) + t^8.592/(g1^12*y) + (4*t^8.728)/(g1^8*y) + (8*t^8.864)/(g1^4*y) - (t^4.466*y)/g1 - (t^7.126*y)/g1^11 - (t^7.262*y)/g1^7 + (t^7.398*y)/g1^3 - g1*t^7.534*y + g1^5*t^7.67*y + g1^9*t^7.806*y + (2*t^8.457*y)/g1^16 + (t^8.592*y)/g1^12 + (4*t^8.728*y)/g1^8 + (8*t^8.864*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2455 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.619 | 0.768 | 0.8059 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 1.0769], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | 2*t^2.308 + 5*t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 8*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 21759/35152, c: 13499/17576, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 14/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7035 | 0.8667 | 0.8116 | [M:[0.925, 1.025, 1.075, 0.875, 0.925], q:[0.4875, 0.5875], qb:[0.4375, 0.5375], phi:[0.4875]] | t^2.625 + 2*t^2.775 + t^2.925 + 3*t^3.075 + t^4.088 + t^4.238 + 2*t^4.388 + 2*t^4.537 + 2*t^4.687 + t^4.837 + t^4.987 + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + 4*t^5.85 - t^6. - t^4.463/y - t^4.463*y | detail |