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 |
|---|---|---|---|---|---|---|---|---|---|
| 57471 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4405 | 1.6827 | 0.8561 | [X:[], M:[0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]] | [X:[], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 23601/16384, c: 27569/16384, M1: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 6 | 2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 10*t^4.88 + 11*t^5.25 + 3*t^5.62 + 6*t^6. + 9*t^6.38 + 12*t^6.75 + 19*t^7.12 + 33*t^7.5 + 28*t^7.88 + 11*t^8.25 + 15*t^8.62 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - (3*t^6.75)/y - t^7.12/y - t^7.5/y + (4*t^7.88)/y + (4*t^8.25)/y + t^8.62/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - 3*t^6.75*y - t^7.12*y - t^7.5*y + 4*t^7.88*y + 4*t^8.25*y + t^8.62*y | 2*t^2.25 + t^2.62 + (g1*t^2.62)/g2 + (g2*t^2.62)/g1 + t^3. + t^3.38 + (g1*t^3.75)/g2 + (g2*t^3.75)/g1 + t^4.12 + 4*t^4.5 + 2*t^4.88 + t^4.88/(g1*g2^2) + (3*g1*t^4.88)/g2 + (3*g2*t^4.88)/g1 + g1*g2^2*t^4.88 + 5*t^5.25 + (g1^2*t^5.25)/g2^2 + t^5.25/(g1^2*g2) + (g1*t^5.25)/g2 + (g2*t^5.25)/g1 + g1^2*g2*t^5.25 + (g2^2*t^5.25)/g1^2 + 3*t^5.62 - 2*t^6. + t^6./(g1*g2^2) + (3*g1*t^6.)/g2 + (3*g2*t^6.)/g1 + g1*g2^2*t^6. + 5*t^6.38 + (g1^2*t^6.38)/g2^2 + t^6.38/(g1^2*g2) + g1^2*g2*t^6.38 + (g2^2*t^6.38)/g1^2 + 8*t^6.75 + t^6.75/g2^3 + (g1*t^6.75)/g2 + (g2*t^6.75)/g1 + g2^3*t^6.75 + t^7.12 + (3*t^7.12)/(g1*g2^2) - t^7.12/(g1^2*g2) + (7*g1*t^7.12)/g2 + (7*g2*t^7.12)/g1 - g1^2*g2*t^7.12 + 3*g1*g2^2*t^7.12 + 13*t^7.5 + t^7.5/g2^3 + (4*g1^2*t^7.5)/g2^2 + (4*t^7.5)/(g1^2*g2) + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + 4*g1^2*g2*t^7.5 + (4*g2^2*t^7.5)/g1^2 + g2^3*t^7.5 + 8*t^7.88 + (2*t^7.88)/g1^3 + 2*g1^3*t^7.88 + (g1^3*t^7.88)/g2^3 + t^7.88/(g1*g2^2) + (g1^2*t^7.88)/g2^2 + t^7.88/(g1^2*g2) + (4*g1*t^7.88)/g2 + (4*g2*t^7.88)/g1 + g1^2*g2*t^7.88 + (g2^2*t^7.88)/g1^2 + g1*g2^2*t^7.88 + (g2^3*t^7.88)/g1^3 - 5*t^8.25 - t^8.25/g2^3 + (3*t^8.25)/(g1*g2^2) - t^8.25/(g1^2*g2) + (7*g1*t^8.25)/g2 + (7*g2*t^8.25)/g1 - g1^2*g2*t^8.25 + 3*g1*g2^2*t^8.25 - g2^3*t^8.25 + 11*t^8.62 - t^8.62/g1^3 - g1^3*t^8.62 + (2*t^8.62)/g2^3 - (2*t^8.62)/(g1*g2^2) + (4*g1^2*t^8.62)/g2^2 + (4*t^8.62)/(g1^2*g2) - (5*g1*t^8.62)/g2 - (5*g2*t^8.62)/g1 + 4*g1^2*g2*t^8.62 + (4*g2^2*t^8.62)/g1^2 - 2*g1*g2^2*t^8.62 + 2*g2^3*t^8.62 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^6.75/y - (g1*t^6.75)/(g2*y) - (g2*t^6.75)/(g1*y) - t^7.12/y - t^7.5/y + (2*t^7.88)/y + (g1*t^7.88)/(g2*y) + (g2*t^7.88)/(g1*y) + (2*t^8.25)/y + (g1*t^8.25)/(g2*y) + (g2*t^8.25)/(g1*y) - t^8.62/y + (g1*t^8.62)/(g2*y) + (g2*t^8.62)/(g1*y) - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^6.75*y - (g1*t^6.75*y)/g2 - (g2*t^6.75*y)/g1 - t^7.12*y - t^7.5*y + 2*t^7.88*y + (g1*t^7.88*y)/g2 + (g2*t^7.88*y)/g1 + 2*t^8.25*y + (g1*t^8.25*y)/g2 + (g2*t^8.25*y)/g1 - t^8.62*y + (g1*t^8.62*y)/g2 + (g2*t^8.62*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59396 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$ | 1.4293 | 1.6637 | 0.8591 | [X:[], M:[0.875, 1.125], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 8*t^4.88 + 8*t^5.25 + 4*t^5.62 + 7*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 11709/8192, c: 13629/8192, M1: 7/8, M2: 9/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8} |
| 58842 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3323 | 1.551 | 0.859 | [X:[1.375], M:[0.875], q:[0.3611, 0.4861], qb:[0.6389, 0.2639], phi:[0.375]] | 2*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 3*t^4.12 + 5*t^4.5 + t^4.63 + t^4.75 + t^4.88 + t^5.12 + 6*t^5.25 + 6*t^5.62 + 3*t^5.75 + t^5.87 - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 5457/4096, c: 6353/4096, X1: 11/8, M1: 7/8, q1: 13/36, q2: 35/72, qb1: 23/36, qb2: 19/72, phi1: 3/8} |
| 59470 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4517 | 1.7017 | 0.8531 | [X:[], M:[0.875, 0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]] | 2*t^2.25 + 4*t^2.62 + t^3. + 2*t^3.75 + t^4.12 + 4*t^4.5 + 12*t^4.88 + 15*t^5.25 + 2*t^5.62 + 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 2973/2048, c: 3485/2048, M1: 7/8, M2: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8} |
| 59437 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3557 | 1.5979 | 0.8484 | [X:[], M:[0.875], q:[0.5893, 0.5179], qb:[0.4107, 0.2321], phi:[0.375]] | 2*t^2.25 + t^2.46 + t^2.62 + t^2.79 + t^3. + t^3.38 + t^3.59 + t^3.75 + t^3.91 + t^4.12 + t^4.29 + 4*t^4.5 + 3*t^4.71 + t^4.87 + 2*t^4.88 + t^4.93 + 3*t^5.04 + t^5.09 + 5*t^5.25 + 2*t^5.41 + t^5.46 + t^5.57 + 3*t^5.62 + 3*t^5.84 + 2*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 155487/114688, c: 183263/114688, M1: 7/8, q1: 33/56, q2: 29/56, qb1: 23/56, qb2: 13/56, phi1: 3/8} |
| 58931 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4075 | 1.6497 | 0.8532 | [X:[], M:[0.875], q:[0.6042, 0.4167], qb:[0.3958, 0.3333], phi:[0.375]] | 2*t^2.25 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + 5*t^4.5 + 3*t^4.69 + 3*t^4.88 + 4*t^5.06 + 5*t^5.25 + 3*t^5.44 + 5*t^5.62 + 3*t^5.81 - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 23061/16384, c: 27029/16384, M1: 7/8, q1: 29/48, q2: 5/12, qb1: 19/48, qb2: 1/3, phi1: 3/8} |
| 59103 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.231 | 1.442 | 0.8537 | [X:[1.5], M:[0.875], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | 2*t^2.25 + 2*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 6*t^4.5 + 5*t^4.88 + 7*t^5.25 + 5*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 20169/16384, c: 23625/16384, X1: 3/2, M1: 7/8, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
| 59380 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.4185 | 1.6607 | 0.8542 | [X:[], M:[0.875], q:[0.4306, 0.4306], qb:[0.5694, 0.3194], phi:[0.375]] | 3*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 2*t^4.12 + 8*t^4.5 + t^4.75 + 3*t^4.88 + 2*t^5. + 8*t^5.25 + t^5.5 + 8*t^5.62 + t^5.87 - t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 23241/16384, c: 27209/16384, M1: 7/8, q1: 31/72, q2: 31/72, qb1: 41/72, qb2: 23/72, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47914 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4949 | 1.7247 | 0.8668 | [M:[0.6769], q:[0.5, 0.4939], qb:[0.5, 0.4939], phi:[0.3354]] | t^2.012 + t^2.031 + t^2.963 + 2*t^2.982 + t^3. + t^3.018 + 2*t^3.988 + t^4.006 + t^4.025 + t^4.043 + t^4.061 + 2*t^4.975 + 5*t^4.994 + 4*t^5.012 + 2*t^5.031 + t^5.049 + 2*t^5.469 + 2*t^5.488 + t^5.926 + 2*t^5.945 + 4*t^5.963 + t^5.982 + t^6. - t^4.006/y - t^5.012/y - t^4.006*y - t^5.012*y | detail |