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 |
|---|---|---|---|---|---|---|---|---|---|
| 57346 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3468 | 1.5854 | 0.8495 | [X:[1.4], M:[0.7819], q:[0.3076, 0.4894], qb:[0.5106, 0.2924], phi:[0.4]] | [X:[[0, 0]], M:[[-1, 1]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.346 + t^2.4 + t^2.454 + 2*t^3. + t^3.546 + t^3.6 + 3*t^4.2 + t^4.486 + t^4.514 + 3*t^4.691 + 3*t^4.746 + 3*t^4.8 + 2*t^4.854 + t^4.909 + t^5.059 + t^5.141 + 3*t^5.346 + 3*t^5.4 + t^5.454 + t^5.686 + t^5.714 + 2*t^5.891 + 3*t^5.946 + t^6. + t^6.054 + t^6.232 + t^6.259 + t^6.341 + t^6.368 + 6*t^6.546 + 4*t^6.6 + t^6.654 + 2*t^6.832 + t^6.859 + 2*t^6.886 + 2*t^6.914 + t^6.968 + 4*t^7.037 + 6*t^7.091 + 6*t^7.146 + 9*t^7.2 + 3*t^7.254 + 2*t^7.309 + t^7.363 + 2*t^7.405 + 2*t^7.459 + 2*t^7.486 + t^7.514 + 2*t^7.541 + t^7.595 + 4*t^7.691 + 8*t^7.746 + 5*t^7.8 + 2*t^7.854 + t^7.909 + t^8.005 + 2*t^8.032 + 2*t^8.059 + t^8.086 + t^8.114 + t^8.195 + 3*t^8.237 + 6*t^8.291 + t^8.346 + 9*t^8.4 - t^8.454 + t^8.509 + 2*t^8.577 + 2*t^8.605 + t^8.659 + 4*t^8.686 + 3*t^8.714 + t^8.741 + t^8.823 + 8*t^8.891 + 10*t^8.946 + t^8.973 - t^4.2/y - t^5.4/y - (2*t^6.546)/y - t^6.6/y - t^6.654/y - t^7.2/y + t^7.691/y + t^7.8/y + t^7.854/y + (4*t^8.346)/y - t^8.4/y + (2*t^8.454)/y - t^8.891/y - t^4.2*y - t^5.4*y - 2*t^6.546*y - t^6.6*y - t^6.654*y - t^7.2*y + t^7.691*y + t^7.8*y + t^7.854*y + 4*t^8.346*y - t^8.4*y + 2*t^8.454*y - t^8.891*y | (2*g2*t^2.346)/g1 + t^2.4 + (g1*t^2.454)/g2 + 2*t^3. + (g2*t^3.546)/g1 + t^3.6 + 3*t^4.2 + g1*g2^2*t^4.486 + t^4.514/(g1*g2^2) + (3*g2^2*t^4.691)/g1^2 + (3*g2*t^4.746)/g1 + 3*t^4.8 + (2*g1*t^4.854)/g2 + (g1^2*t^4.909)/g2^2 + t^5.059/(g1^2*g2) + g1^2*g2*t^5.141 + (3*g2*t^5.346)/g1 + 3*t^5.4 + (g1*t^5.454)/g2 + g1*g2^2*t^5.686 + t^5.714/(g1*g2^2) + (2*g2^2*t^5.891)/g1^2 + (3*g2*t^5.946)/g1 + t^6. + (g1*t^6.054)/g2 + g2^3*t^6.232 + t^6.259/(g1^2*g2) + g1^2*g2*t^6.341 + t^6.368/g2^3 + (6*g2*t^6.546)/g1 + 4*t^6.6 + (g1*t^6.654)/g2 + 2*g2^3*t^6.832 + t^6.859/(g1^2*g2) + 2*g1*g2^2*t^6.886 + (2*t^6.914)/(g1*g2^2) + t^6.968/g2^3 + (4*g2^3*t^7.037)/g1^3 + (6*g2^2*t^7.091)/g1^2 + (6*g2*t^7.146)/g1 + 9*t^7.2 + (3*g1*t^7.254)/g2 + (2*g1^2*t^7.309)/g2^2 + (g1^3*t^7.363)/g2^3 + (2*t^7.405)/g1^3 + (2*t^7.459)/(g1^2*g2) + 2*g1*g2^2*t^7.486 + t^7.514/(g1*g2^2) + 2*g1^2*g2*t^7.541 + g1^3*t^7.595 + (4*g2^2*t^7.691)/g1^2 + (8*g2*t^7.746)/g1 + 5*t^7.8 + (2*g1*t^7.854)/g2 + (g1^2*t^7.909)/g2^2 + t^8.005/g1^3 + 2*g2^3*t^8.032 + (2*t^8.059)/(g1^2*g2) + g1*g2^2*t^8.086 + t^8.114/(g1*g2^2) + g1^3*t^8.195 + (3*g2^3*t^8.237)/g1^3 + (6*g2^2*t^8.291)/g1^2 + (g2*t^8.346)/g1 + 9*t^8.4 - (g1*t^8.454)/g2 + (g1^2*t^8.509)/g2^2 + (2*g2^4*t^8.577)/g1 + (2*t^8.605)/g1^3 + t^8.659/(g1^2*g2) + 4*g1*g2^2*t^8.686 + (3*t^8.714)/(g1*g2^2) + g1^2*g2*t^8.741 + (g1*t^8.823)/g2^4 + (8*g2^2*t^8.891)/g1^2 + (10*g2*t^8.946)/g1 + g1^2*g2^4*t^8.973 - t^4.2/y - t^5.4/y - (2*g2*t^6.546)/(g1*y) - t^6.6/y - (g1*t^6.654)/(g2*y) - t^7.2/y + (g2^2*t^7.691)/(g1^2*y) + t^7.8/y + (g1*t^7.854)/(g2*y) + (4*g2*t^8.346)/(g1*y) - t^8.4/y + (2*g1*t^8.454)/(g2*y) - (g2^2*t^8.891)/(g1^2*y) - t^4.2*y - t^5.4*y - (2*g2*t^6.546*y)/g1 - t^6.6*y - (g1*t^6.654*y)/g2 - t^7.2*y + (g2^2*t^7.691*y)/g1^2 + t^7.8*y + (g1*t^7.854*y)/g2 + (4*g2*t^8.346*y)/g1 - t^8.4*y + (2*g1*t^8.454*y)/g2 - (g2^2*t^8.891*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58377 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3628 | 1.6128 | 0.845 | [X:[1.4], M:[0.8, 0.8], q:[0.3, 0.5], qb:[0.5, 0.3], phi:[0.4]] | 5*t^2.4 + 2*t^3. + t^3.6 + 3*t^4.2 + 2*t^4.5 + 17*t^4.8 + 2*t^5.1 + 9*t^5.4 + 2*t^5.7 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 5451/4000, c: 6451/4000, X1: 7/5, M1: 4/5, M2: 4/5, q1: 3/10, q2: 1/2, qb1: 1/2, qb2: 3/10, phi1: 2/5} |
| 58378 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3633 | 1.6144 | 0.8444 | [X:[1.4], M:[0.7819, 0.8], q:[0.3076, 0.4894], qb:[0.5106, 0.2924], phi:[0.4]] | 2*t^2.35 + 2*t^2.4 + t^2.45 + 2*t^3. + t^3.55 + 3*t^4.2 + t^4.49 + t^4.51 + 3*t^4.69 + 5*t^4.75 + 5*t^4.8 + 3*t^4.85 + t^4.91 + t^5.06 + t^5.14 + 3*t^5.35 + 5*t^5.4 + t^5.45 + t^5.69 + t^5.71 + 2*t^5.89 + 2*t^5.95 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58372 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2929 | 1.5266 | 0.8469 | [X:[1.4], M:[0.861], q:[0.3594, 0.6203], qb:[0.3797, 0.2406], phi:[0.4]] | t^2.22 + t^2.4 + 2*t^2.58 + 2*t^3. + t^3.6 + 2*t^3.78 + 4*t^4.2 + t^4.43 + 2*t^4.62 + 3*t^4.8 + 4*t^4.98 + 3*t^5.17 + 2*t^5.22 + 4*t^5.4 + 3*t^5.58 + t^5.77 + t^5.82 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58368 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1852 | 1.4268 | 0.8306 | [X:[1.4], M:[0.7333], q:[0.4889, 0.6222], qb:[0.3778, 0.1111], phi:[0.4]] | 2*t^2.2 + t^2.4 + t^2.6 + 3*t^3. + t^3.4 + t^3.6 + t^3.8 + 4*t^4.2 + 3*t^4.4 + 4*t^4.6 + 3*t^4.8 + 3*t^5. + 6*t^5.2 + 5*t^5.4 + 3*t^5.6 + 3*t^5.8 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 7111/6000, c: 8561/6000, X1: 7/5, M1: 11/15, q1: 22/45, q2: 28/45, qb1: 17/45, qb2: 1/9, phi1: 2/5} |
| 58365 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.1793 | 1.4147 | 0.8336 | [X:[1.4], M:[0.8325], q:[0.1225, 0.355], qb:[0.645, 0.4775], phi:[0.4]] | t^2.3 + t^2.4 + 2*t^2.5 + 3*t^3. + t^3.6 + 2*t^3.7 + 4*t^4.2 + t^4.61 + 3*t^4.7 + 3*t^4.8 + 4*t^4.9 + 3*t^4.99 + 2*t^5.3 + 5*t^5.4 + 4*t^5.5 + t^5.9 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58373 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3016 | 1.5446 | 0.8427 | [X:[1.4], M:[0.7118], q:[0.2588, 0.3706], qb:[0.6294, 0.3412], phi:[0.4]] | 2*t^2.14 + t^2.4 + t^2.66 + 2*t^3. + t^3.34 + t^3.6 + t^3.86 + 4*t^4.2 + 3*t^4.27 + 3*t^4.54 + 3*t^4.8 + 3*t^5.06 + 4*t^5.14 + t^5.33 + 4*t^5.4 + 2*t^5.47 + t^5.66 + 3*t^5.74 + t^5.93 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58376 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3408 | 1.58 | 0.8486 | [X:[1.4], M:[0.7724], q:[0.3425, 0.5149], qb:[0.4851, 0.2575], phi:[0.4]] | 2*t^2.32 + t^2.4 + t^2.48 + 2*t^3. + t^3.52 + t^3.6 + 4*t^4.2 + 3*t^4.63 + 3*t^4.72 + 4*t^4.8 + 3*t^4.88 + t^4.97 + 4*t^5.32 + 4*t^5.4 + t^5.48 + 2*t^5.83 + 4*t^5.92 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58375 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3396 | 1.5776 | 0.8491 | [X:[1.4], M:[0.7922], q:[0.2693, 0.4615], qb:[0.5385, 0.3307], phi:[0.4]] | 2*t^2.38 + t^2.4 + t^2.42 + 2*t^3. + t^3.58 + t^3.6 + 4*t^4.2 + 3*t^4.75 + 4*t^4.78 + 4*t^4.8 + 2*t^4.82 + t^4.85 + 3*t^5.38 + 4*t^5.4 + 2*t^5.42 + 2*t^5.95 + 4*t^5.98 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47890 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.427 | 1.6906 | 0.8441 | [M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] | 2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |