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 |
|---|---|---|---|---|---|---|---|---|---|
| 3469 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6331 | 0.7809 | 0.8108 | [X:[1.6104], M:[0.3896, 1.2208, 1.1688, 0.7272, 0.8312, 0.8312, 0.8052], q:[0.8442, 0.7662], qb:[0.4286, 0.4026], phi:[0.3896]] | [X:[[4]], M:[[-4], [8], [-12], [-28], [12], [12], [2]], q:[[17], [-13]], qb:[[11], [1]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.182 + t^2.416 + 2*t^2.494 + t^3.584 + 2*t^3.662 + 2*t^3.74 + t^4.363 + t^4.597 + 2*t^4.675 + 2*t^4.831 + 2*t^4.909 + 3*t^4.987 + t^5.766 + t^5.844 - 2*t^6. + 2*t^6.078 + 5*t^6.156 + 4*t^6.234 + t^6.545 + t^6.779 + 2*t^6.857 + t^7.013 + t^7.169 + 5*t^7.325 + 5*t^7.403 + 6*t^7.481 + t^7.948 + t^8.026 - 2*t^8.182 + t^8.26 + t^8.338 - 3*t^8.416 - 4*t^8.494 + 4*t^8.571 + 7*t^8.649 + 7*t^8.727 + t^8.961 - t^4.169/y - t^6.351/y - t^6.584/y - t^6.662/y + t^7.597/y + (3*t^7.675)/y + t^7.753/y + (2*t^7.909)/y + (2*t^7.987)/y - t^8.532/y + t^8.844/y + (2*t^8.922)/y - t^4.169*y - t^6.351*y - t^6.584*y - t^6.662*y + t^7.597*y + 3*t^7.675*y + t^7.753*y + 2*t^7.909*y + 2*t^7.987*y - t^8.532*y + t^8.844*y + 2*t^8.922*y | t^2.182/g1^28 + g1^2*t^2.416 + 2*g1^12*t^2.494 + t^3.584/g1^2 + 2*g1^8*t^3.662 + 2*g1^18*t^3.74 + t^4.363/g1^56 + t^4.597/g1^26 + (2*t^4.675)/g1^16 + 2*g1^4*t^4.831 + 2*g1^14*t^4.909 + 3*g1^24*t^4.987 + t^5.766/g1^30 + t^5.844/g1^20 - 2*t^6. + 2*g1^10*t^6.078 + 5*g1^20*t^6.156 + 4*g1^30*t^6.234 + t^6.545/g1^84 + t^6.779/g1^54 + (2*t^6.857)/g1^44 + t^7.013/g1^24 + t^7.169/g1^4 + 5*g1^16*t^7.325 + 5*g1^26*t^7.403 + 6*g1^36*t^7.481 + t^7.948/g1^58 + t^8.026/g1^48 - (2*t^8.182)/g1^28 + t^8.26/g1^18 + t^8.338/g1^8 - 3*g1^2*t^8.416 - 4*g1^12*t^8.494 + 4*g1^22*t^8.571 + 7*g1^32*t^8.649 + t^8.727/g1^112 + 6*g1^42*t^8.727 + t^8.961/g1^82 - t^4.169/(g1^4*y) - t^6.351/(g1^32*y) - t^6.584/(g1^2*y) - (g1^8*t^6.662)/y + t^7.597/(g1^26*y) + (3*t^7.675)/(g1^16*y) + t^7.753/(g1^6*y) + (2*g1^14*t^7.909)/y + (2*g1^24*t^7.987)/y - t^8.532/(g1^60*y) + t^8.844/(g1^20*y) + (2*t^8.922)/(g1^10*y) - (t^4.169*y)/g1^4 - (t^6.351*y)/g1^32 - (t^6.584*y)/g1^2 - g1^8*t^6.662*y + (t^7.597*y)/g1^26 + (3*t^7.675*y)/g1^16 + (t^7.753*y)/g1^6 + 2*g1^14*t^7.909*y + 2*g1^24*t^7.987*y - (t^8.532*y)/g1^60 + (t^8.844*y)/g1^20 + (2*t^8.922*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5167 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}^{2}$ | 0.5912 | 0.7474 | 0.7909 | [X:[1.5714], M:[0.4286, 1.1429, 1.2857, 1.0, 0.7143, 0.7143, 0.7857], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | 2*t^2.143 + t^2.357 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 2*t^4.714 + 2*t^5.143 + 5*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 51909/87808, c: 65629/87808, X1: 11/7, M1: 3/7, M2: 8/7, M3: 9/7, M4: 1, M5: 5/7, M6: 5/7, M7: 11/14, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| 5164 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}M_{8}$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 1.2218, 1.1673, 0.7236, 0.8327, 0.8327, 0.8055, 1.1945], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | t^2.171 + 2*t^2.498 + 2*t^3.584 + 2*t^3.665 + 2*t^3.747 + t^4.342 + 2*t^4.669 + t^4.833 + 3*t^4.996 + 2*t^5.754 + t^5.836 - 3*t^6. - t^4.167/y - t^4.167*y | detail | |
| 5165 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6493 | 0.8094 | 0.8023 | [X:[1.6099], M:[0.3901, 1.2197, 1.1704, 0.7309, 0.8296, 0.8296, 0.8049, 0.8049], q:[0.842, 0.7679], qb:[0.4272, 0.4025], phi:[0.3901]] | t^2.193 + 2*t^2.415 + 2*t^2.489 + 2*t^3.659 + 2*t^3.733 + t^4.385 + 2*t^4.607 + 2*t^4.682 + 4*t^4.83 + 4*t^4.904 + 3*t^4.978 + t^5.852 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6343 | 0.7843 | 0.8087 | [X:[1.6105], M:[0.3895, 1.2211, 1.1684, 0.7262, 0.8316, 0.8316, 0.7684], q:[0.8264, 0.7842], qb:[0.4474, 0.3842], phi:[0.3895]] | t^2.179 + t^2.305 + 2*t^2.495 + t^3.474 + t^3.632 + 2*t^3.663 + t^3.853 + t^4.357 + t^4.484 + t^4.61 + 2*t^4.673 + 2*t^4.8 + t^4.832 + 3*t^4.99 + t^5.652 + t^5.779 + t^5.842 + t^5.937 + 3*t^5.968 - 3*t^6. - t^4.168/y - t^4.168*y | detail |