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 |
|---|---|---|---|---|---|---|---|---|---|
| 55142 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6343 | 0.7843 | 0.8087 | [X:[1.6105], M:[0.3895, 0.7262, 1.1684, 0.8316, 1.2211, 0.8316, 0.7684], q:[0.8264, 0.7842], qb:[0.4474, 0.3842], phi:[0.3895]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, 2], [0, 3], [2, 0]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.179 + t^2.305 + 2*t^2.495 + t^3.474 + t^3.632 + 2*t^3.663 + t^3.853 + t^4.357 + t^4.484 + t^4.61 + 2*t^4.673 + 2*t^4.8 + t^4.832 + 3*t^4.99 + t^5.652 + t^5.779 + t^5.842 + t^5.937 + 3*t^5.968 - 3*t^6. + 2*t^6.127 + 4*t^6.158 - t^6.19 + 2*t^6.348 + t^6.536 + t^6.662 + t^6.789 + 2*t^6.852 + t^6.915 + t^6.947 + t^6.979 + 3*t^7.105 + t^7.137 - t^7.2 + t^7.263 + 4*t^7.295 + 2*t^7.327 - 2*t^7.358 + 4*t^7.485 + t^7.516 + t^7.706 + t^7.831 + t^7.957 + t^8.02 + t^8.084 + 2*t^8.147 - 3*t^8.179 + t^8.242 + 3*t^8.274 - 3*t^8.305 + t^8.337 - t^8.368 + 2*t^8.432 + 5*t^8.463 - 7*t^8.495 - t^8.526 + 3*t^8.621 + 5*t^8.653 - 2*t^8.685 + t^8.714 + t^8.841 + 3*t^8.843 + t^8.967 - t^4.168/y - t^6.347/y - t^6.474/y - t^6.663/y + t^7.484/y + (3*t^7.673)/y + (2*t^7.8)/y + t^7.863/y + (2*t^7.99)/y - t^8.526/y + t^8.81/y + t^8.842/y + t^8.937/y + (3*t^8.968)/y - t^4.168*y - t^6.347*y - t^6.474*y - t^6.663*y + t^7.484*y + 3*t^7.673*y + 2*t^7.8*y + t^7.863*y + 2*t^7.99*y - t^8.526*y + t^8.81*y + t^8.842*y + t^8.937*y + 3*t^8.968*y | t^2.179/g2^7 + g1^2*t^2.305 + 2*g2^3*t^2.495 + (g1^2*t^3.474)/g2 + g1^2*g2^4*t^3.632 + 2*g2^2*t^3.663 + (g2^5*t^3.853)/g1^2 + t^4.357/g2^14 + (g1^2*t^4.484)/g2^7 + g1^4*t^4.61 + (2*t^4.673)/g2^4 + 2*g1^2*g2^3*t^4.8 + g2*t^4.832 + 3*g2^6*t^4.99 + (g1^2*t^5.652)/g2^8 + (g1^4*t^5.779)/g2 + t^5.842/g2^5 + g1^4*g2^4*t^5.937 + 3*g1^2*g2^2*t^5.968 - 3*t^6. + 2*g1^2*g2^7*t^6.127 + 4*g2^5*t^6.158 - (g2^3*t^6.19)/g1^2 + (2*g2^8*t^6.348)/g1^2 + t^6.536/g2^21 + (g1^2*t^6.662)/g2^14 + (g1^4*t^6.789)/g2^7 + (2*t^6.852)/g2^11 + g1^6*t^6.915 + (g1^4*t^6.947)/g2^2 + (g1^2*t^6.979)/g2^4 + 3*g1^4*g2^3*t^7.105 + g1^2*g2*t^7.137 - t^7.2/(g1^2*g2^3) + g1^4*g2^8*t^7.263 + 4*g1^2*g2^6*t^7.295 + 2*g2^4*t^7.327 - (2*g2^2*t^7.358)/g1^2 + 4*g2^9*t^7.485 + (g2^7*t^7.516)/g1^2 + (g2^10*t^7.706)/g1^4 + (g1^2*t^7.831)/g2^15 + (g1^4*t^7.957)/g2^8 + t^8.02/g2^12 + (g1^6*t^8.084)/g2 + (2*g1^2*t^8.147)/g2^5 - (3*t^8.179)/g2^7 + g1^6*g2^4*t^8.242 + 3*g1^4*g2^2*t^8.274 - 3*g1^2*t^8.305 + t^8.337/g2^2 - t^8.368/(g1^2*g2^4) + 2*g1^4*g2^7*t^8.432 + 5*g1^2*g2^5*t^8.463 - 7*g2^3*t^8.495 - (g2*t^8.526)/g1^2 + 3*g1^2*g2^10*t^8.621 + 5*g2^8*t^8.653 - (2*g2^6*t^8.685)/g1^2 + t^8.714/g2^28 + (g1^2*t^8.841)/g2^21 + (3*g2^11*t^8.843)/g1^2 + (g1^4*t^8.967)/g2^14 - t^4.168/(g2*y) - t^6.347/(g2^8*y) - (g1^2*t^6.474)/(g2*y) - (g2^2*t^6.663)/y + (g1^2*t^7.484)/(g2^7*y) + (3*t^7.673)/(g2^4*y) + (2*g1^2*g2^3*t^7.8)/y + t^7.863/(g1^2*g2*y) + (2*g2^6*t^7.99)/y - t^8.526/(g2^15*y) + (g1^2*t^8.81)/(g2^3*y) + t^8.842/(g2^5*y) + (g1^4*g2^4*t^8.937)/y + (3*g1^2*g2^2*t^8.968)/y - (t^4.168*y)/g2 - (t^6.347*y)/g2^8 - (g1^2*t^6.474*y)/g2 - g2^2*t^6.663*y + (g1^2*t^7.484*y)/g2^7 + (3*t^7.673*y)/g2^4 + 2*g1^2*g2^3*t^7.8*y + (t^7.863*y)/(g1^2*g2) + 2*g2^6*t^7.99*y - (t^8.526*y)/g2^15 + (g1^2*t^8.81*y)/g2^3 + (t^8.842*y)/g2^5 + g1^4*g2^4*t^8.937*y + 3*g1^2*g2^2*t^8.968*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56799 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6331 | 0.7809 | 0.8108 | [X:[1.6104], M:[0.3896, 0.7272, 1.1688, 0.8312, 1.2208, 0.8312, 0.8052], q:[0.8442, 0.7662], qb:[0.4286, 0.4026], phi:[0.3896]] | t^2.182 + t^2.416 + 2*t^2.494 + t^3.584 + 2*t^3.662 + 2*t^3.74 + t^4.363 + t^4.597 + 2*t^4.675 + 2*t^4.831 + 2*t^4.909 + 3*t^4.987 + t^5.766 + t^5.844 - 2*t^6. - t^4.169/y - t^4.169*y | detail | |
| 56803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6547 | 0.8239 | 0.7947 | [X:[1.6119], M:[0.3881, 0.7166, 1.1643, 0.8357, 1.2238, 0.8357, 0.7587, 0.6991], q:[0.827, 0.7849], qb:[0.4564, 0.3793], phi:[0.3881]] | t^2.097 + t^2.15 + t^2.276 + 2*t^2.507 + t^3.44 + t^3.619 + 2*t^3.671 + t^4.195 + t^4.247 + t^4.3 + t^4.373 + t^4.426 + t^4.552 + 2*t^4.604 + 2*t^4.657 + 2*t^4.783 + t^4.836 + 3*t^5.014 + t^5.537 + t^5.59 + 2*t^5.716 + 2*t^5.769 + t^5.821 + t^5.895 + 3*t^5.947 - 3*t^6. - t^4.164/y - t^4.164*y | detail | |
| 56801 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6493 | 0.8094 | 0.8023 | [X:[1.6099], M:[0.3901, 0.7309, 1.1704, 0.8296, 1.2197, 0.8296, 0.8049, 0.8049], q:[0.842, 0.7679], qb:[0.4272, 0.4025], phi:[0.3901]] | t^2.193 + 2*t^2.415 + 2*t^2.489 + 2*t^3.659 + 2*t^3.733 + t^4.385 + 2*t^4.607 + 2*t^4.682 + 4*t^4.83 + 4*t^4.904 + 3*t^4.978 + t^5.852 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46882 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 0.7236, 1.1673, 0.8327, 1.2218, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | t^2.171 + 2*t^2.498 + 2*t^3.584 + 2*t^3.665 + 2*t^3.747 + t^4.342 + 2*t^4.669 + t^4.833 + 3*t^4.996 + 2*t^5.754 + t^5.836 - 3*t^6. - t^4.167/y - t^4.167*y | detail |