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 |
|---|---|---|---|---|---|---|---|---|---|
| 57441 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3154 | 1.5597 | 0.8434 | [M:[1.0922], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]] | [M:[[-2, -1]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 2 | t^2.077 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.277 + t^3.35 + t^3.6 + 2*t^3.85 + 2*t^3.923 + t^4.153 + t^4.227 + t^4.3 + 2*t^4.477 + 2*t^4.55 + t^4.727 + 2*t^4.8 + 3*t^5.05 + 2*t^5.123 + t^5.3 + 2*t^5.353 + 3*t^5.427 + t^5.5 + 3*t^5.677 + 2*t^5.75 + 3*t^5.927 + 2*t^6. + t^6.073 + t^6.177 + t^6.23 + 4*t^6.25 + t^6.303 + 3*t^6.323 + t^6.376 + t^6.396 + t^6.45 + 2*t^6.5 + 5*t^6.553 + 5*t^6.627 + 3*t^6.7 + t^6.804 + 4*t^6.877 + 3*t^6.95 + 6*t^7.127 + 8*t^7.2 + t^7.253 + 2*t^7.273 + t^7.377 + 2*t^7.43 + 4*t^7.45 + 3*t^7.503 + 2*t^7.523 + 3*t^7.576 + t^7.65 + 5*t^7.7 + 5*t^7.753 + 2*t^7.773 + 7*t^7.827 + 2*t^7.847 + 3*t^7.9 + t^7.95 + 3*t^8.004 + 4*t^8.077 + t^8.15 + t^8.223 + t^8.254 + t^8.307 + 9*t^8.327 + t^8.38 + 9*t^8.4 + t^8.453 + 4*t^8.473 + t^8.526 + t^8.546 + 3*t^8.577 + t^8.599 + 5*t^8.63 + 2*t^8.65 + 7*t^8.703 + t^8.723 + 5*t^8.776 + t^8.827 + 3*t^8.85 + t^8.88 + 6*t^8.9 + 8*t^8.953 + 5*t^8.973 - t^4.2/y - t^5.4/y - t^6.277/y - t^6.35/y - t^6.6/y - t^6.85/y + t^7.227/y - t^7.477/y + t^7.727/y + t^8.353/y + (2*t^8.427)/y + (3*t^8.927)/y - t^4.2*y - t^5.4*y - t^6.277*y - t^6.35*y - t^6.6*y - t^6.85*y + t^7.227*y - t^7.477*y + t^7.727*y + t^8.353*y + 2*t^8.427*y + 3*t^8.927*y | t^2.077/(g1^2*g2) + t^2.15/(g1*g2^2) + t^2.4 + g1*g2^2*t^2.65 + (2*t^3.277)/(g1^2*g2) + t^3.35/(g1*g2^2) + t^3.6 + 2*g1*g2^2*t^3.85 + 2*g1^2*g2*t^3.923 + t^4.153/(g1^4*g2^2) + t^4.227/(g1^3*g2^3) + t^4.3/(g1^2*g2^4) + (2*t^4.477)/(g1^2*g2) + (2*t^4.55)/(g1*g2^2) + (g2*t^4.727)/g1 + 2*t^4.8 + 3*g1*g2^2*t^5.05 + 2*g1^2*g2*t^5.123 + g1^2*g2^4*t^5.3 + (2*t^5.353)/(g1^4*g2^2) + (3*t^5.427)/(g1^3*g2^3) + t^5.5/(g1^2*g2^4) + (3*t^5.677)/(g1^2*g2) + (2*t^5.75)/(g1*g2^2) + (3*g2*t^5.927)/g1 + 2*t^6. + (g1*t^6.073)/g2 + g2^3*t^6.177 + t^6.23/(g1^6*g2^3) + 4*g1*g2^2*t^6.25 + t^6.303/(g1^5*g2^4) + 3*g1^2*g2*t^6.323 + t^6.376/(g1^4*g2^5) + g1^3*t^6.396 + t^6.45/(g1^3*g2^6) + 2*g1^2*g2^4*t^6.5 + (5*t^6.553)/(g1^4*g2^2) + (5*t^6.627)/(g1^3*g2^3) + (3*t^6.7)/(g1^2*g2^4) + t^6.804/g1^3 + (4*t^6.877)/(g1^2*g2) + (3*t^6.95)/(g1*g2^2) + (6*g2*t^7.127)/g1 + 8*t^7.2 + t^7.253/(g1^6*g2^6) + (2*g1*t^7.273)/g2 + g2^3*t^7.377 + (2*t^7.43)/(g1^6*g2^3) + 4*g1*g2^2*t^7.45 + (3*t^7.503)/(g1^5*g2^4) + 2*g1^2*g2*t^7.523 + (3*t^7.576)/(g1^4*g2^5) + t^7.65/(g1^3*g2^6) + 5*g1^2*g2^4*t^7.7 + (5*t^7.753)/(g1^4*g2^2) + 2*g1^3*g2^3*t^7.773 + (7*t^7.827)/(g1^3*g2^3) + 2*g1^4*g2^2*t^7.847 + (3*t^7.9)/(g1^2*g2^4) + g1^3*g2^6*t^7.95 + (3*t^8.004)/g1^3 + (4*t^8.077)/(g1^2*g2) + t^8.15/(g1*g2^2) + t^8.223/g2^3 + (g2^2*t^8.254)/g1^2 + t^8.307/(g1^8*g2^4) + (9*g2*t^8.327)/g1 + t^8.38/(g1^7*g2^5) + 9*t^8.4 + t^8.453/(g1^6*g2^6) + (4*g1*t^8.473)/g2 + t^8.526/(g1^5*g2^7) + (g1^2*t^8.546)/g2^2 + 3*g2^3*t^8.577 + t^8.599/(g1^4*g2^8) + (5*t^8.63)/(g1^6*g2^3) + 2*g1*g2^2*t^8.65 + (7*t^8.703)/(g1^5*g2^4) + g1^2*g2*t^8.723 + (5*t^8.776)/(g1^4*g2^5) + g1*g2^5*t^8.827 + (3*t^8.85)/(g1^3*g2^6) + t^8.88/(g1^5*g2) + 6*g1^2*g2^4*t^8.9 + (8*t^8.953)/(g1^4*g2^2) + 5*g1^3*g2^3*t^8.973 - t^4.2/y - t^5.4/y - t^6.277/(g1^2*g2*y) - t^6.35/(g1*g2^2*y) - t^6.6/y - (g1*g2^2*t^6.85)/y + t^7.227/(g1^3*g2^3*y) - t^7.477/(g1^2*g2*y) + (g2*t^7.727)/(g1*y) + t^8.353/(g1^4*g2^2*y) + (2*t^8.427)/(g1^3*g2^3*y) + (3*g2*t^8.927)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.277*y)/(g1^2*g2) - (t^6.35*y)/(g1*g2^2) - t^6.6*y - g1*g2^2*t^6.85*y + (t^7.227*y)/(g1^3*g2^3) - (t^7.477*y)/(g1^2*g2) + (g2*t^7.727*y)/g1 + (t^8.353*y)/(g1^4*g2^2) + (2*t^8.427*y)/(g1^3*g2^3) + (3*g2*t^8.927*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 |
|---|---|---|---|---|---|---|---|---|
| 59474 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.2989 | 1.5307 | 0.8486 | [X:[], M:[1.0922, 1.2], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]] | t^2.08 + t^2.15 + t^2.65 + 2*t^3.28 + t^3.35 + 2*t^3.6 + 2*t^3.85 + 2*t^3.92 + t^4.15 + t^4.23 + t^4.3 + t^4.48 + t^4.55 + t^4.73 + t^4.8 + 2*t^5.05 + 2*t^5.12 + t^5.3 + 2*t^5.35 + 3*t^5.43 + t^5.5 + 2*t^5.68 + 2*t^5.75 + 3*t^5.93 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 60714 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.306 | 1.5444 | 0.8456 | [X:[], M:[1.0923, 1.0923], q:[0.6051, 0.3897], qb:[0.3026, 0.3026], phi:[0.4]] | 2*t^2.08 + t^2.4 + 4*t^3.28 + t^3.6 + 4*t^3.92 + 3*t^4.15 + 4*t^4.48 + t^4.8 + 4*t^5.12 + 8*t^5.35 + 6*t^5.68 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58744 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2858 | 1.5238 | 0.8438 | [X:[], M:[1.1915], q:[0.5333, 0.5333], qb:[0.2751, 0.2582], phi:[0.4]] | 2*t^2.37 + t^2.4 + t^2.43 + 4*t^3.57 + t^3.6 + 3*t^3.63 + 3*t^4.75 + 5*t^4.77 + 3*t^4.8 + 4*t^4.83 + t^4.85 + t^5.92 + 7*t^5.95 + 7*t^5.97 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58903 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 1.3149 | 1.5584 | 0.8438 | [X:[], M:[1.1048], q:[0.5968, 0.4063], qb:[0.2984, 0.2984], phi:[0.4]] | 2*t^2.11 + t^2.4 + t^2.69 + 3*t^3.31 + t^3.6 + 4*t^3.89 + 3*t^4.23 + 4*t^4.51 + 3*t^4.8 + 5*t^5.09 + t^5.37 + 6*t^5.43 + 5*t^5.71 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 386587/294000, c: 229081/147000, M1: 116/105, q1: 188/315, q2: 128/315, qb1: 94/315, qb2: 94/315, phi1: 2/5} |
| 58909 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.17 | 1.395 | 0.8387 | [X:[1.6], M:[0.8], q:[0.6889, 0.2222], qb:[0.5111, 0.1778], phi:[0.4]] | t^2.2 + 3*t^2.4 + t^2.6 + t^3.4 + 2*t^3.6 + 2*t^3.8 + t^4.4 + 4*t^4.6 + 10*t^4.8 + 4*t^5. + 2*t^5.2 + 2*t^5.6 + 5*t^5.8 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 117/100, c: 279/200, X1: 8/5, M1: 4/5, q1: 31/45, q2: 2/9, qb1: 23/45, qb2: 8/45, phi1: 2/5} |
| 58943 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ | 1.1425 | 1.3479 | 0.8476 | [X:[1.6], M:[1.1128], q:[0.6957, 0.2086], qb:[0.1914, 0.5043], phi:[0.4]] | t^2.14 + 2*t^2.4 + 2*t^3.34 + 3*t^3.6 + 2*t^3.86 + t^4.28 + 3*t^4.54 + 6*t^4.8 + t^5.06 + t^5.32 + 3*t^5.48 + 7*t^5.74 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58766 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.3031 | 1.5472 | 0.8422 | [X:[], M:[1.0945], q:[0.5685, 0.463], qb:[0.337, 0.2315], phi:[0.4]] | t^2.08 + 3*t^2.4 + 2*t^3.28 + 4*t^3.6 + 2*t^3.92 + t^4.17 + 4*t^4.48 + 9*t^4.8 + 2*t^5.12 + 2*t^5.37 + 10*t^5.68 + 11*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 59062 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | 1.2963 | 1.5338 | 0.8452 | [X:[], M:[1.2], q:[0.56, 0.48], qb:[0.24, 0.32], phi:[0.4]] | t^2.16 + 2*t^2.4 + t^2.64 + t^3.36 + 5*t^3.6 + 2*t^3.84 + t^4.32 + 3*t^4.56 + 7*t^4.8 + 4*t^5.04 + t^5.28 + t^5.52 + 7*t^5.76 + 10*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 12963/10000, c: 7669/5000, M1: 6/5, q1: 14/25, q2: 12/25, qb1: 6/25, qb2: 8/25, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47906 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3942 | 1.633 | 0.8537 | [M:[1.1779], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 3*t^2.4 + 2*t^3.534 + 3*t^3.6 + t^3.666 + t^4.668 + 4*t^4.734 + 2*t^4.767 + 8*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 7*t^5.934 + 2*t^5.967 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |