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 |
|---|---|---|---|---|---|---|---|---|---|
| 1485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6915 | 0.8474 | 0.816 | [M:[0.9967, 1.0011, 1.0033, 0.9946, 1.0054, 1.0011], q:[0.5027, 0.5005], qb:[0.494, 0.5049], phi:[0.4995]] | [M:[[-6], [2], [6], [-10], [10], [2]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$ | ${}$ | -2 | t^2.984 + t^2.99 + 2*t^3.003 + t^3.01 + t^3.016 + t^3.023 + t^4.462 + t^4.482 + t^4.489 + t^4.495 + t^4.502 + t^4.508 + 2*t^4.515 + t^4.521 + t^4.528 + 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^7.446 + t^7.453 + t^7.466 + t^7.472 + t^7.479 + 2*t^7.485 + t^7.492 + t^7.498 + 2*t^7.505 + 3*t^7.511 + 4*t^7.518 + 3*t^7.524 + 3*t^7.531 + 3*t^7.538 + 2*t^7.544 + t^7.551 + t^8.925 + t^8.945 + t^8.951 + t^8.971 + t^8.977 - t^8.984 - t^8.99 - 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^4.462/g1^23 + t^4.482/g1^11 + t^4.489/g1^7 + t^4.495/g1^3 + g1*t^4.502 + g1^5*t^4.508 + 2*g1^9*t^4.515 + g1^13*t^4.521 + g1^17*t^4.528 + 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^7.446/g1^33 + t^7.453/g1^29 + t^7.466/g1^21 + t^7.472/g1^17 + t^7.479/g1^13 + (2*t^7.485)/g1^9 + t^7.492/g1^5 + t^7.498/g1 + 2*g1^3*t^7.505 + 3*g1^7*t^7.511 + 4*g1^11*t^7.518 + 3*g1^15*t^7.524 + 3*g1^19*t^7.531 + 3*g1^23*t^7.538 + 2*g1^27*t^7.544 + g1^31*t^7.551 + t^8.925/g1^46 + t^8.945/g1^34 + t^8.951/g1^30 + t^8.971/g1^18 + t^8.977/g1^14 - t^8.984/g1^10 - t^8.99/g1^6 - 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 |
|---|---|---|---|---|---|---|---|---|
| 2562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6916 | 0.8487 | 0.8149 | [M:[1.0055, 0.9982, 0.9945, 1.0091, 0.9909, 0.9982, 0.9945], q:[0.4955, 0.4991], qb:[0.51, 0.4918], phi:[0.5009]] | t^2.962 + t^2.973 + 2*t^2.984 + 2*t^2.995 + t^3.027 + t^4.454 + t^4.465 + 2*t^4.475 + t^4.486 + t^4.497 + t^4.508 + t^4.519 + t^4.53 + t^4.563 + t^5.924 + t^5.935 + 2*t^5.945 + 3*t^5.956 + 4*t^5.967 + 3*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail | |
| 2557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[0.9881, 1.004, 1.0119, 0.9801, 1.0199, 1.004, 0.9881], q:[0.5099, 0.502], qb:[0.4781, 0.5179], phi:[0.498]] | t^2.94 + 2*t^2.964 + 2*t^3.012 + t^3.06 + t^3.083 + t^4.363 + t^4.434 + t^4.458 + t^4.482 + t^4.506 + t^4.53 + 2*t^4.554 + t^4.577 + t^4.601 + t^5.905 + 2*t^5.928 + t^5.952 + 2*t^5.976 - 3*t^6. - t^4.494/y - t^4.494*y | detail | |
| 2561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6921 | 0.8506 | 0.8137 | [M:[1.0113, 0.9962, 0.9887, 1.0188, 0.9812, 0.9962, 0.9812], q:[0.4906, 0.4981], qb:[0.5206, 0.4831], phi:[0.5019]] | t^2.921 + 2*t^2.944 + t^2.966 + 2*t^2.989 + t^3.034 + t^4.404 + t^4.427 + 2*t^4.449 + t^4.472 + t^4.494 + t^4.517 + t^4.539 + t^4.562 + t^4.629 + t^5.842 + 2*t^5.865 + 3*t^5.887 + 3*t^5.91 + 4*t^5.932 + 2*t^5.955 + 2*t^5.977 - 3*t^6. - t^4.506/y - t^4.506*y | detail | |
| 2558 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6931 | 0.8495 | 0.8159 | [M:[0.9824, 1.0059, 1.0176, 0.9707, 1.0293, 1.0059, 0.9707], q:[0.5146, 0.5029], qb:[0.4678, 0.5264], phi:[0.4971]] | 2*t^2.912 + t^2.947 + 2*t^3.018 + t^3.053 + t^3.123 + t^4.298 + t^4.403 + t^4.438 + t^4.474 + t^4.509 + t^4.544 + 2*t^4.579 + t^4.614 + t^4.649 + 2*t^5.824 + t^5.859 + 3*t^5.93 + 2*t^5.965 - 3*t^6. - t^4.491/y - t^4.491*y | detail | |
| 2560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5234 | 0.6631 | 0.7893 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941, 1.0588], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | t^2.118 + 2*t^2.471 + 2*t^3.176 + 2*t^3.529 + 2*t^3.882 + 2*t^4.235 + 2*t^4.588 + 3*t^4.941 + 3*t^5.294 + 3*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 20571/39304, c: 13031/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 18/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6916 | 0.8474 | 0.8161 | [M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.969 + t^2.982 + t^2.994 + t^3.006 + t^3.018 + t^3.031 + t^3.043 + t^4.429 + t^4.466 + t^4.478 + t^4.491 + t^4.503 + t^4.515 + 2*t^4.528 + t^4.54 + t^4.552 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |