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 |
|---|---|---|---|---|---|---|---|---|---|
| 1443 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6952 | 0.8534 | 0.8146 | [M:[1.0089, 0.9733, 1.0267, 0.9554, 1.0446, 0.9376], q:[0.5045, 0.4866], qb:[0.4688, 0.5579], phi:[0.4955]] | [M:[[2], [-6], [6], [-10], [10], [-14]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.813 + t^2.866 + t^2.92 + t^2.973 + t^3.027 + t^3.08 + t^3.134 + t^4.299 + t^4.353 + 2*t^4.406 + t^4.46 + t^4.513 + t^4.567 + t^4.62 + t^4.674 + t^4.834 + t^5.626 + t^5.679 + t^5.733 + t^5.786 + 2*t^5.84 + 2*t^5.893 + 2*t^5.947 - t^6. + t^6.107 + t^6.16 + t^7.112 + 2*t^7.166 + 3*t^7.219 + 3*t^7.273 + 3*t^7.326 + 4*t^7.38 + 3*t^7.433 + 2*t^7.487 + t^7.54 + t^7.594 + 2*t^7.647 + t^7.701 + t^7.754 + t^7.808 + t^7.915 + t^7.968 + t^8.438 + t^8.492 + t^8.545 + 2*t^8.599 + 3*t^8.652 + 4*t^8.706 + 3*t^8.759 + t^8.813 - t^4.487/y - t^7.299/y + t^7.674/y + t^8.679/y + t^8.733/y + (2*t^8.786)/y + (2*t^8.84)/y + (3*t^8.893)/y + (3*t^8.947)/y - t^4.487*y - t^7.299*y + t^7.674*y + t^8.679*y + t^8.733*y + 2*t^8.786*y + 2*t^8.84*y + 3*t^8.893*y + 3*t^8.947*y | t^2.813/g1^14 + t^2.866/g1^10 + t^2.92/g1^6 + t^2.973/g1^2 + g1^2*t^3.027 + g1^6*t^3.08 + g1^10*t^3.134 + t^4.299/g1^15 + t^4.353/g1^11 + (2*t^4.406)/g1^7 + t^4.46/g1^3 + g1*t^4.513 + g1^5*t^4.567 + g1^9*t^4.62 + g1^13*t^4.674 + g1^25*t^4.834 + t^5.626/g1^28 + t^5.679/g1^24 + t^5.733/g1^20 + t^5.786/g1^16 + (2*t^5.84)/g1^12 + (2*t^5.893)/g1^8 + (2*t^5.947)/g1^4 - t^6. + g1^8*t^6.107 + g1^12*t^6.16 + t^7.112/g1^29 + (2*t^7.166)/g1^25 + (3*t^7.219)/g1^21 + (3*t^7.273)/g1^17 + (3*t^7.326)/g1^13 + (4*t^7.38)/g1^9 + (3*t^7.433)/g1^5 + (2*t^7.487)/g1 + g1^3*t^7.54 + g1^7*t^7.594 + 2*g1^11*t^7.647 + g1^15*t^7.701 + g1^19*t^7.754 + g1^23*t^7.808 + g1^31*t^7.915 + g1^35*t^7.968 + t^8.438/g1^42 + t^8.492/g1^38 + t^8.545/g1^34 + (2*t^8.599)/g1^30 + (3*t^8.652)/g1^26 + (4*t^8.706)/g1^22 + (3*t^8.759)/g1^18 + t^8.813/g1^14 - t^4.487/(g1*y) - t^7.299/(g1^15*y) + (g1^13*t^7.674)/y + t^8.679/(g1^24*y) + t^8.733/(g1^20*y) + (2*t^8.786)/(g1^16*y) + (2*t^8.84)/(g1^12*y) + (3*t^8.893)/(g1^8*y) + (3*t^8.947)/(g1^4*y) - (t^4.487*y)/g1 - (t^7.299*y)/g1^15 + g1^13*t^7.674*y + (t^8.679*y)/g1^24 + (t^8.733*y)/g1^20 + (2*t^8.786*y)/g1^16 + (2*t^8.84*y)/g1^12 + (3*t^8.893*y)/g1^8 + (3*t^8.947*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 |
|---|---|---|---|---|---|---|---|---|
| 2537 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.6961 | 0.8551 | 0.814 | [M:[1.0099, 0.9703, 1.0297, 0.9505, 1.0495, 0.9307, 0.9901], q:[0.505, 0.4851], qb:[0.4653, 0.5644], phi:[0.495]] | t^2.792 + t^2.851 + t^2.911 + 2*t^2.97 + t^3.089 + t^3.149 + t^4.277 + t^4.337 + 2*t^4.396 + t^4.455 + t^4.515 + t^4.574 + t^4.634 + t^4.693 + t^4.871 + t^5.584 + t^5.644 + t^5.703 + 2*t^5.762 + 2*t^5.822 + 2*t^5.881 + 3*t^5.941 - 2*t^6. - t^4.485/y - t^4.485*y | detail | {a: 113613/163216, c: 69785/81608, M1: 102/101, M2: 98/101, M3: 104/101, M4: 96/101, M5: 106/101, M6: 94/101, M7: 100/101, q1: 51/101, q2: 49/101, qb1: 47/101, qb2: 57/101, phi1: 50/101} |
| 2536 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.006, 0.9821, 1.0179, 0.9701, 1.0299, 0.9582, 1.0179], q:[0.503, 0.491], qb:[0.4791, 0.5388], phi:[0.497]] | t^2.875 + t^2.91 + t^2.982 + t^3.018 + 2*t^3.054 + t^3.09 + t^4.366 + t^4.401 + 2*t^4.437 + t^4.473 + t^4.509 + t^4.545 + t^4.581 + t^4.617 + t^4.724 + t^5.749 + t^5.785 + t^5.892 + 2*t^5.928 + 2*t^5.964 - 2*t^6. - t^4.491/y - t^4.491*y | detail | |
| 2538 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6981 | 0.8592 | 0.8125 | [M:[1.0118, 0.9645, 1.0355, 0.9408, 1.0592, 0.9171, 0.9645], q:[0.5059, 0.4822], qb:[0.4585, 0.577], phi:[0.4941]] | t^2.751 + t^2.822 + 2*t^2.893 + t^2.964 + t^3.036 + t^3.178 + t^4.233 + t^4.305 + 2*t^4.376 + t^4.447 + t^4.518 + t^4.589 + t^4.66 + t^4.731 + t^4.944 + t^5.502 + t^5.573 + 2*t^5.645 + 2*t^5.716 + 4*t^5.787 + 2*t^5.858 + 2*t^5.929 - 2*t^6. - t^4.482/y - t^4.482*y | detail | |
| 2535 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[1.004, 0.9879, 1.0121, 0.9799, 1.0201, 0.9718, 1.0201], q:[0.502, 0.494], qb:[0.4859, 0.5262], phi:[0.498]] | t^2.915 + t^2.964 + t^2.988 + t^3.012 + t^3.036 + 2*t^3.06 + t^4.409 + t^4.434 + 2*t^4.458 + t^4.482 + t^4.506 + t^4.53 + t^4.554 + t^4.579 + t^4.651 + t^5.831 + t^5.927 + t^5.952 + 2*t^5.976 - 2*t^6. - t^4.494/y - t^4.494*y | detail | |
| 2534 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.7005 | 0.864 | 0.8107 | [M:[1.0137, 0.959, 1.041, 0.9317, 1.0683, 0.9044, 0.9317], q:[0.5068, 0.4795], qb:[0.4522, 0.5888], phi:[0.4932]] | t^2.713 + 2*t^2.795 + t^2.877 + t^2.959 + t^3.041 + t^3.123 + t^4.193 + t^4.275 + 2*t^4.357 + t^4.439 + t^4.52 + t^4.602 + t^4.684 + t^4.766 + t^5.012 + t^5.426 + 2*t^5.508 + 3*t^5.59 + 2*t^5.672 + 3*t^5.754 + 3*t^5.836 + 2*t^5.918 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 2540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6502 | 0.8152 | 0.7976 | [M:[1.04, 0.88, 1.12, 0.8, 1.2, 0.72], q:[0.52, 0.44], qb:[0.36, 0.76], phi:[0.48]] | t^2.16 + t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 2*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 3*t^5.76 + 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 81279/125000, c: 12738/15625, M1: 26/25, M2: 22/25, M3: 28/25, M4: 4/5, M5: 6/5, M6: 18/25, 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 |