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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, 2], [0, 3]], 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 |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | 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. + 2*t^6.082 + 3*t^6.164 + 4*t^6.246 + t^6.512 + 2*t^6.84 - 2*t^7.085 + 3*t^7.167 + 5*t^7.331 + 2*t^7.413 + 6*t^7.495 + 2*t^7.925 + t^8.007 - 3*t^8.171 + 2*t^8.253 + t^8.335 - 6*t^8.498 + 2*t^8.58 + 3*t^8.662 + t^8.683 + 6*t^8.744 - t^4.167/y - t^6.338/y - t^6.665/y + (3*t^7.669)/y + (2*t^7.996)/y - t^8.509/y + (2*t^8.754)/y + t^8.836/y + (2*t^8.918)/y - t^4.167*y - t^6.338*y - t^6.665*y + 3*t^7.669*y + 2*t^7.996*y - t^8.509*y + 2*t^8.754*y + t^8.836*y + 2*t^8.918*y | t^2.171/g2^7 + 2*g2^3*t^2.498 + t^3.584/g1^2 + (g1^2*t^3.584)/g2 + 2*g2^2*t^3.665 + g1^2*g2^4*t^3.747 + (g2^5*t^3.747)/g1^2 + t^4.342/g2^14 + (2*t^4.669)/g2^4 + g2*t^4.833 + 3*g2^6*t^4.996 + (g1^2*t^5.754)/g2^8 + t^5.754/(g1^2*g2^7) + t^5.836/g2^5 - 3*t^6. + g1^2*g2^2*t^6.082 + (g2^3*t^6.082)/g1^2 + 3*g2^5*t^6.164 + 2*g1^2*g2^7*t^6.246 + (2*g2^8*t^6.246)/g1^2 + t^6.512/g2^21 + (2*t^6.84)/g2^11 - (g1^2*t^7.085)/g2^4 - t^7.085/(g1^2*g2^3) + t^7.167/g1^4 + (g1^4*t^7.167)/g2^2 + t^7.167/g2 + g1^4*g2^3*t^7.331 + 3*g2^4*t^7.331 + (g2^5*t^7.331)/g1^4 + g1^2*g2^6*t^7.413 + (g2^7*t^7.413)/g1^2 + g1^4*g2^8*t^7.495 + 4*g2^9*t^7.495 + (g2^10*t^7.495)/g1^4 + (g1^2*t^7.925)/g2^15 + t^7.925/(g1^2*g2^14) + t^8.007/g2^12 - (3*t^8.171)/g2^7 + (g1^2*t^8.253)/g2^5 + t^8.253/(g1^2*g2^4) + t^8.335/g2^2 - 6*g2^3*t^8.498 + g1^2*g2^5*t^8.58 + (g2^6*t^8.58)/g1^2 + 3*g2^8*t^8.662 + t^8.683/g2^28 + 3*g1^2*g2^10*t^8.744 + (3*g2^11*t^8.744)/g1^2 - t^4.167/(g2*y) - t^6.338/(g2^8*y) - (g2^2*t^6.665)/y + (3*t^7.669)/(g2^4*y) + (2*g2^6*t^7.996)/y - t^8.509/(g2^15*y) + (g1^2*t^8.754)/(g2^8*y) + t^8.754/(g1^2*g2^7*y) + t^8.836/(g2^5*y) + (g1^2*t^8.918)/(g2^3*y) + t^8.918/(g1^2*g2^2*y) - (t^4.167*y)/g2 - (t^6.338*y)/g2^8 - g2^2*t^6.665*y + (3*t^7.669*y)/g2^4 + 2*g2^6*t^7.996*y - (t^8.509*y)/g2^15 + (g1^2*t^8.754*y)/g2^8 + (t^8.754*y)/(g1^2*g2^7) + (t^8.836*y)/g2^5 + (g1^2*t^8.918*y)/g2^3 + (t^8.918*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 54907 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.5738 | 0.7167 | 0.8007 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.7143], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | 2*t^2.143 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.643 + 3*t^4.286 + t^4.714 + 2*t^5.143 + 4*t^5.357 + 3*t^5.571 + 2*t^5.786 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 12597/21952, c: 15733/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, M6: 5/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| 55142 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 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]] | 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. - t^4.168/y - t^4.168*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46713 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 0.698, 1.1563, 0.8437, 1.2291], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.094 + t^2.531 + t^3.469 + 2*t^3.578 + 2*t^3.687 + 2*t^3.797 + t^4.188 + t^4.625 + t^4.844 + t^5.062 + t^5.563 + 2*t^5.672 + t^5.781 - 2*t^6. - t^4.156/y - t^4.156*y | detail |