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 |
|---|---|---|---|---|---|---|---|---|---|
| 46232 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6515 | 0.8349 | 0.7802 | [M:[1.1089, 0.7822, 0.6732], q:[0.75, 0.4678], qb:[0.3589, 0.4232], phi:[0.5]] | [M:[[-1], [2], [3]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.02 + 2*t^2.346 + t^2.48 + t^3. + 2*t^3.327 + t^3.52 + t^3.654 + t^3.846 + 2*t^4.039 + t^4.173 + t^4.307 + 2*t^4.366 + t^4.5 + 3*t^4.693 + 2*t^4.827 + t^4.961 + t^5.02 + 4*t^5.346 + t^5.48 + t^5.539 + 4*t^5.673 + t^5.807 + 2*t^5.866 + 2*t^6.059 + 2*t^6.193 + t^6.327 + 4*t^6.386 + 3*t^6.52 + 4*t^6.654 + 3*t^6.713 + t^6.787 + 3*t^6.846 + t^6.98 + 6*t^7.039 + 3*t^7.173 + t^7.307 + 5*t^7.366 + t^7.441 + 2*t^7.559 + 7*t^7.693 + t^7.827 + 3*t^7.886 + t^7.961 + 3*t^8.02 + 3*t^8.079 + 4*t^8.213 + t^8.287 + 4*t^8.406 - t^8.48 + 4*t^8.539 + t^8.614 + 2*t^8.673 + 6*t^8.732 + 5*t^8.866 - t^4.5/y - t^6.52/y - t^6.846/y + t^7.173/y + (2*t^7.366)/y + t^7.5/y + t^7.693/y + t^7.827/y + t^8.02/y + t^8.154/y + (4*t^8.346)/y + (2*t^8.48)/y + (5*t^8.673)/y + (2*t^8.807)/y + (2*t^8.866)/y - t^4.5*y - t^6.52*y - t^6.846*y + t^7.173*y + 2*t^7.366*y + t^7.5*y + t^7.693*y + t^7.827*y + t^8.02*y + t^8.154*y + 4*t^8.346*y + 2*t^8.48*y + 5*t^8.673*y + 2*t^8.807*y + 2*t^8.866*y | g1^3*t^2.02 + 2*g1^2*t^2.346 + t^2.48/g1^3 + t^3. + (2*t^3.327)/g1 + g1^3*t^3.52 + t^3.654/g1^2 + g1^2*t^3.846 + 2*g1^6*t^4.039 + g1*t^4.173 + t^4.307/g1^4 + 2*g1^5*t^4.366 + t^4.5 + 3*g1^4*t^4.693 + (2*t^4.827)/g1 + t^4.961/g1^6 + g1^3*t^5.02 + 4*g1^2*t^5.346 + t^5.48/g1^3 + g1^6*t^5.539 + 4*g1*t^5.673 + t^5.807/g1^4 + 2*g1^5*t^5.866 + 2*g1^9*t^6.059 + 2*g1^4*t^6.193 + t^6.327/g1 + 4*g1^8*t^6.386 + 3*g1^3*t^6.52 + (4*t^6.654)/g1^2 + 3*g1^7*t^6.713 + t^6.787/g1^7 + 3*g1^2*t^6.846 + t^6.98/g1^3 + 6*g1^6*t^7.039 + 3*g1*t^7.173 + t^7.307/g1^4 + 5*g1^5*t^7.366 + t^7.441/g1^9 + 2*g1^9*t^7.559 + 7*g1^4*t^7.693 + t^7.827/g1 + 3*g1^8*t^7.886 + t^7.961/g1^6 + 3*g1^3*t^8.02 + 3*g1^12*t^8.079 + 4*g1^7*t^8.213 + t^8.287/g1^7 + 4*g1^11*t^8.406 - t^8.48/g1^3 + 4*g1^6*t^8.539 + t^8.614/g1^8 + 2*g1*t^8.673 + 6*g1^10*t^8.732 + 5*g1^5*t^8.866 - t^4.5/y - (g1^3*t^6.52)/y - (g1^2*t^6.846)/y + (g1*t^7.173)/y + (2*g1^5*t^7.366)/y + t^7.5/y + (g1^4*t^7.693)/y + t^7.827/(g1*y) + (g1^3*t^8.02)/y + t^8.154/(g1^2*y) + (4*g1^2*t^8.346)/y + (2*t^8.48)/(g1^3*y) + (5*g1*t^8.673)/y + (2*t^8.807)/(g1^4*y) + (2*g1^5*t^8.866)/y - t^4.5*y - g1^3*t^6.52*y - g1^2*t^6.846*y + g1*t^7.173*y + 2*g1^5*t^7.366*y + t^7.5*y + g1^4*t^7.693*y + (t^7.827*y)/g1 + g1^3*t^8.02*y + (t^8.154*y)/g1^2 + 4*g1^2*t^8.346*y + (2*t^8.48*y)/g1^3 + 5*g1*t^8.673*y + (2*t^8.807*y)/g1^4 + 2*g1^5*t^8.866*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 |
|---|---|---|---|---|---|---|---|---|
| 46749 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.641 | 0.818 | 0.7835 | [M:[1.0833, 0.8333, 0.75], q:[0.75, 0.4167], qb:[0.3333, 0.5], phi:[0.5]] | 2*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 3*t^5. + 2*t^5.25 + 5*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 1969/3072, c: 2513/3072, M1: 13/12, M2: 5/6, M3: 3/4, q1: 3/4, q2: 5/12, qb1: 1/3, qb2: 1/2, phi1: 1/2} |
| 46589 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6668 | 0.8608 | 0.7747 | [M:[1.1031, 0.7937, 0.6906, 0.8094], q:[0.75, 0.4563], qb:[0.3531, 0.4406], phi:[0.5]] | t^2.072 + 2*t^2.381 + 2*t^2.428 + t^3. + 2*t^3.309 + t^3.619 + t^3.881 + 2*t^4.143 + t^4.191 + t^4.238 + 2*t^4.453 + 2*t^4.5 + 3*t^4.762 + 4*t^4.809 + 3*t^4.857 + t^5.072 + 4*t^5.381 + 2*t^5.428 + 4*t^5.691 + 3*t^5.738 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 46599 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6341 | 0.8036 | 0.7891 | [M:[1.1055, 0.789, 0.6835, 1.211], q:[0.75, 0.461], qb:[0.3555, 0.4335], phi:[0.5]] | t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46059 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.1085, 0.7829], q:[0.75, 0.4671], qb:[0.3585, 0.4244], phi:[0.5]] | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 143/129, M2: 101/129, q1: 3/4, q2: 241/516, qb1: 185/516, qb2: 73/172, phi1: 1/2} |