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 |
|---|---|---|---|---|---|---|---|---|---|
| 1442 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6915 | 0.8474 | 0.816 | [M:[1.0011, 0.9967, 1.0033, 0.9945, 1.0055, 1.0011], q:[0.5005, 0.4984], qb:[0.4962, 0.5071], phi:[0.4995]] | [M:[[2], [-6], [6], [-10], [10], [2]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$ | ${}$ | -2 | t^2.984 + t^2.99 + 2*t^3.003 + t^3.01 + t^3.016 + t^3.023 + t^4.475 + t^4.482 + 2*t^4.489 + t^4.495 + t^4.502 + t^4.508 + t^4.515 + t^4.521 + t^4.541 + t^5.987 + t^5.993 - 2*t^6. + 2*t^6.007 + 2*t^6.013 + 2*t^6.02 + 2*t^6.026 + t^6.033 + t^6.039 + t^6.046 + t^7.459 + t^7.466 + t^7.472 + 2*t^7.479 + 2*t^7.485 + 3*t^7.492 + 2*t^7.498 + 2*t^7.505 + 3*t^7.511 + 2*t^7.518 + 3*t^7.525 + 2*t^7.531 + t^7.538 + 2*t^7.544 + t^7.551 + t^7.557 + t^7.564 + t^8.951 + t^8.957 + 2*t^8.964 + t^8.97 + t^8.977 - t^8.984 - t^8.99 + t^8.997 - t^4.498/y + t^7.495/y - t^7.502/y + t^8.974/y + (2*t^8.987)/y + (3*t^8.993)/y - t^4.498*y + t^7.495*y - t^7.502*y + t^8.974*y + 2*t^8.987*y + 3*t^8.993*y | t^2.984/g1^10 + t^2.99/g1^6 + 2*g1^2*t^3.003 + g1^6*t^3.01 + g1^10*t^3.016 + g1^14*t^3.023 + t^4.475/g1^15 + t^4.482/g1^11 + (2*t^4.489)/g1^7 + t^4.495/g1^3 + g1*t^4.502 + g1^5*t^4.508 + g1^9*t^4.515 + g1^13*t^4.521 + g1^25*t^4.541 + t^5.987/g1^8 + t^5.993/g1^4 - 2*t^6. + 2*g1^4*t^6.007 + 2*g1^8*t^6.013 + 2*g1^12*t^6.02 + 2*g1^16*t^6.026 + g1^20*t^6.033 + g1^24*t^6.039 + g1^28*t^6.046 + t^7.459/g1^25 + t^7.466/g1^21 + t^7.472/g1^17 + (2*t^7.479)/g1^13 + (2*t^7.485)/g1^9 + (3*t^7.492)/g1^5 + (2*t^7.498)/g1 + 2*g1^3*t^7.505 + 3*g1^7*t^7.511 + 2*g1^11*t^7.518 + 3*g1^15*t^7.525 + 2*g1^19*t^7.531 + g1^23*t^7.538 + 2*g1^27*t^7.544 + g1^31*t^7.551 + g1^35*t^7.557 + g1^39*t^7.564 + t^8.951/g1^30 + t^8.957/g1^26 + (2*t^8.964)/g1^22 + t^8.97/g1^18 + t^8.977/g1^14 - t^8.984/g1^10 - t^8.99/g1^6 + t^8.997/g1^2 - t^4.498/(g1*y) + t^7.495/(g1^3*y) - (g1*t^7.502)/y + t^8.974/(g1^16*y) + (2*t^8.987)/(g1^8*y) + (3*t^8.993)/(g1^4*y) - (t^4.498*y)/g1 + (t^7.495*y)/g1^3 - g1*t^7.502*y + (t^8.974*y)/g1^16 + (2*t^8.987*y)/g1^8 + (3*t^8.993*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2529 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6916 | 0.8487 | 0.8149 | [M:[0.9982, 1.0054, 0.9946, 1.009, 0.991, 0.9982, 0.9946], q:[0.4991, 0.5027], qb:[0.5063, 0.4883], phi:[0.5009]] | t^2.962 + t^2.973 + 2*t^2.984 + 2*t^2.995 + t^3.027 + t^4.432 + t^4.465 + t^4.476 + t^4.486 + t^4.497 + t^4.508 + 2*t^4.519 + t^4.53 + t^4.541 + t^5.924 + t^5.935 + 2*t^5.946 + 3*t^5.957 + 4*t^5.968 + 3*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail | {a: 378701/547600, c: 232363/273800, M1: 554/555, M2: 186/185, M3: 184/185, M4: 112/111, M5: 110/111, M6: 554/555, M7: 184/185, q1: 277/555, q2: 93/185, qb1: 281/555, qb2: 271/555, phi1: 278/555} |
| 2526 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[1.0041, 0.9878, 1.0122, 0.9797, 1.0203, 1.0041, 0.9878], q:[0.502, 0.4939], qb:[0.4858, 0.5264], phi:[0.498]] | t^2.939 + 2*t^2.963 + 2*t^3.012 + t^3.061 + t^3.085 + t^4.409 + t^4.433 + 2*t^4.457 + t^4.482 + t^4.506 + t^4.53 + t^4.555 + t^4.579 + t^4.652 + t^5.903 + 2*t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. - t^4.494/y - t^4.494*y | detail | |
| 2527 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6921 | 0.8505 | 0.8137 | [M:[0.9963, 1.011, 0.989, 1.0184, 0.9816, 0.9963, 0.9816], q:[0.4982, 0.5055], qb:[0.5129, 0.4761], phi:[0.5018]] | t^2.923 + 2*t^2.945 + t^2.967 + 2*t^2.989 + t^3.033 + t^4.362 + t^4.428 + t^4.45 + t^4.472 + t^4.494 + t^4.517 + 2*t^4.539 + t^4.561 + t^4.583 + t^5.845 + 2*t^5.867 + 3*t^5.89 + 3*t^5.912 + 4*t^5.934 + 2*t^5.956 + 2*t^5.978 - 3*t^6. - t^4.506/y - t^4.506*y | detail | |
| 2528 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.006, 0.9819, 1.0181, 0.9698, 1.0302, 1.006, 0.9698], q:[0.503, 0.4909], qb:[0.4789, 0.5392], phi:[0.497]] | 2*t^2.909 + t^2.946 + 2*t^3.018 + t^3.054 + t^3.127 + t^4.364 + t^4.4 + 2*t^4.437 + t^4.473 + t^4.509 + t^4.545 + t^4.581 + t^4.618 + t^4.726 + 2*t^5.819 + t^5.855 + 3*t^5.928 + 2*t^5.964 - 3*t^6. - t^4.491/y - t^4.491*y | detail | |
| 2525 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6264 | 0.7714 | 0.812 | [M:[1.04, 0.88, 1.12, 0.8, 1.2, 1.04], q:[0.52, 0.44], qb:[0.36, 0.76], phi:[0.48]] | t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.04 + t^5.28 + t^5.52 + t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 78303/125000, c: 24107/31250, M1: 26/25, M2: 22/25, M3: 28/25, M4: 4/5, M5: 6/5, M6: 26/25, q1: 13/25, q2: 11/25, qb1: 9/25, qb2: 19/25, phi1: 12/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 938 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6916 | 0.8474 | 0.8161 | [M:[1.0021, 0.9938, 1.0062, 0.9896, 1.0104], q:[0.501, 0.4969], qb:[0.4927, 0.5135], phi:[0.499]] | t^2.969 + t^2.981 + t^2.994 + t^3.006 + t^3.019 + t^3.031 + t^3.044 + t^4.453 + t^4.466 + 2*t^4.478 + t^4.491 + t^4.503 + t^4.516 + t^4.528 + t^4.54 + t^4.578 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |