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 |
|---|---|---|---|---|---|---|---|---|---|
| 57325 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.2008 | 1.3883 | 0.8649 | [X:[1.25, 1.5], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | [X:[[0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 9837/8192, c: 11373/8192, X1: 5/4, X2: 3/2, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}X_{1}$ | 5 | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + t^4.125 + 4*t^4.5 + 2*t^4.875 + 4*t^5.25 + 4*t^5.625 + 5*t^6. + 4*t^6.375 + 9*t^6.75 + 8*t^7.125 + 10*t^7.5 + 9*t^7.875 + 13*t^8.25 + 9*t^8.625 - t^4.125/y - t^5.25/y - t^6.375/y - t^7.125/y - (2*t^7.5)/y - t^7.875/y - t^4.125*y - t^5.25*y - t^6.375*y - t^7.125*y - 2*t^7.5*y - t^7.875*y | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + t^4.125 + 2*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + 2*t^4.875 + 2*t^5.25 + t^5.25/g1^3 + g1^3*t^5.25 + 2*t^5.625 + t^5.625/g1^3 + g1^3*t^5.625 + 3*t^6. + t^6./g1^3 + g1^3*t^6. + 4*t^6.375 + 7*t^6.75 + t^6.75/g1^3 + g1^3*t^6.75 + 6*t^7.125 + t^7.125/g1^3 + g1^3*t^7.125 + 8*t^7.5 + t^7.5/g1^3 + g1^3*t^7.5 + 7*t^7.875 + t^7.875/g1^3 + g1^3*t^7.875 + 7*t^8.25 + (3*t^8.25)/g1^3 + 3*g1^3*t^8.25 + 3*t^8.625 + (3*t^8.625)/g1^3 + 3*g1^3*t^8.625 - t^4.125/y - t^5.25/y - t^6.375/y - t^7.125/y - (2*t^7.5)/y - t^7.875/y - t^4.125*y - t^5.25*y - t^6.375*y - t^7.125*y - 2*t^7.5*y - t^7.875*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 |
|---|---|---|---|---|---|---|---|---|
| 58065 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.2198 | 1.423 | 0.8573 | [X:[1.25, 1.5], M:[0.75], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | 2*t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + t^4.12 + 6*t^4.5 + 3*t^4.88 + 5*t^5.25 + 6*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 9993/8192, c: 11657/8192, X1: 5/4, X2: 3/2, M1: 3/4, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
| 58071 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.1818 | 1.3536 | 0.873 | [X:[1.25, 1.5], M:[1.25], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | t^2.62 + t^3. + 2*t^3.38 + 4*t^3.75 + t^4.12 + 3*t^4.5 + t^4.88 + 3*t^5.25 + 2*t^5.62 + 2*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 9681/8192, c: 11089/8192, X1: 5/4, X2: 3/2, M1: 5/4, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
| 58068 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1613 | 1.3488 | 0.861 | [X:[1.25, 1.5], M:[], q:[0.375, 0.625], qb:[0.625, 0.125], phi:[0.375]] | t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 4*t^3.75 + t^4.12 + 3*t^4.5 + 3*t^4.88 + 4*t^5.25 + 2*t^5.62 + 5*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 9513/8192, c: 11049/8192, X1: 5/4, X2: 3/2, q1: 3/8, q2: 5/8, qb1: 5/8, qb2: 1/8, phi1: 3/8} |
| 58067 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0426 | 1.2301 | 0.8476 | [X:[1.25, 1.5], M:[], q:[0.125, 0.375], qb:[0.875, 0.375], phi:[0.375]] | t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 4*t^3.75 + 2*t^4.12 + 3*t^4.5 + 2*t^4.88 + 3*t^5.25 + 3*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 8541/8192, c: 10077/8192, X1: 5/4, X2: 3/2, q1: 1/8, q2: 3/8, qb1: 7/8, qb2: 3/8, phi1: 3/8} |
| 58070 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.1909 | 1.3784 | 0.864 | [X:[1.25, 1.5], M:[], q:[0.3333, 0.5833], qb:[0.6667, 0.1667], phi:[0.375]] | t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 3*t^3.75 + 2*t^4.12 + 2*t^4.5 + 4*t^4.88 + 3*t^5.25 + 4*t^5.62 + 4*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 2439/2048, c: 2823/2048, X1: 5/4, X2: 3/2, q1: 1/3, q2: 7/12, qb1: 2/3, qb2: 1/6, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail |