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 |
|---|---|---|---|---|---|---|---|---|---|
| 55122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6952 | 0.8534 | 0.8146 | [M:[1.0267, 1.0446, 0.9733, 0.9376, 1.0089, 0.9554], q:[0.4688, 0.5045], qb:[0.4866, 0.5579], phi:[0.4955]] | [M:[[6], [10], [-6], [-14], [2], [-10]], q:[[-7], [1]], qb:[[-3], [13]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -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 |
|---|---|---|---|---|---|---|---|---|
| 56764 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.0179, 1.0299, 0.9821, 0.9582, 1.006, 0.9701, 1.0179], q:[0.4791, 0.503], qb:[0.491, 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 | |
| 56766 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8551 | 0.814 | [M:[1.0297, 1.0495, 0.9703, 0.9307, 1.0099, 0.9505, 0.9901], q:[0.4653, 0.505], qb:[0.4851, 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: 104/101, M2: 106/101, M3: 98/101, M4: 94/101, M5: 102/101, M6: 96/101, M7: 100/101, q1: 47/101, q2: 51/101, qb1: 49/101, qb2: 57/101, phi1: 50/101} |
| 56763 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[1.0121, 1.0201, 0.9879, 0.9718, 1.004, 0.9799, 1.0201], q:[0.4859, 0.502], qb:[0.494, 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 | |
| 56765 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6944 | 0.8519 | 0.8151 | [M:[1.0238, 1.0397, 0.9762, 0.9445, 1.0079, 0.9603, 1.0079], q:[0.4722, 0.504], qb:[0.4881, 0.5515], phi:[0.496]] | t^2.833 + t^2.881 + t^2.929 + 2*t^3.024 + t^3.071 + t^3.119 + t^4.322 + t^4.369 + 2*t^4.417 + t^4.464 + t^4.512 + t^4.559 + t^4.607 + t^4.655 + t^4.797 + t^5.667 + t^5.714 + t^5.762 + 2*t^5.857 + 2*t^5.905 + 2*t^5.952 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
| 56767 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7005 | 0.864 | 0.8107 | [M:[1.041, 1.0683, 0.959, 0.9044, 1.0137, 0.9317, 0.9317], q:[0.4522, 0.5068], qb:[0.4795, 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47051 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6952 | 0.8535 | 0.8145 | [M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 0.5572], phi:[0.4957]] | t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. - t^4.487/y - t^4.487*y | detail |