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 |
|---|---|---|---|---|---|---|---|---|---|
| 47905 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9689 | 1.1591 | 0.8359 | [X:[1.5437, 1.5, 1.5, 1.4563], M:[0.9563], q:[0.2282, 0.2718], qb:[0.2282, 0.2718], phi:[0.5]] | [X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[0, 0, 1]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.869 + 3*t^3. + 2*t^3.684 + 2*t^3.816 + 2*t^4.369 + 5*t^4.5 + 2*t^4.631 + 2*t^5.184 + 2*t^5.316 + 3*t^5.738 + 3*t^5.869 - t^6. - 3*t^6.131 + 6*t^6.553 + 6*t^6.684 + 2*t^6.816 + 2*t^6.947 + 4*t^7.238 + 15*t^7.369 + 15*t^7.5 + 5*t^7.631 + 2*t^8.053 + 8*t^8.184 + 4*t^8.316 - 2*t^8.447 + 4*t^8.607 + 6*t^8.738 - 2*t^8.869 - t^4.5/y - t^6./y - t^7.369/y + t^7.5/y + t^7.631/y + t^8.738/y + (3*t^8.869)/y - t^4.5*y - t^6.*y - t^7.369*y + t^7.5*y + t^7.631*y + t^8.738*y + 3*t^8.869*y | 2*g3*t^2.869 + t^3. + t^3./g2 + g2*t^3. + t^3.684/(g1^3*g2^2*g3) + g1^3*g2^2*g3^2*t^3.684 + t^3.816/(g1^3*g2*g3^2) + g1^3*g2*g3*t^3.816 + 2*g3*t^4.369 + t^4.5 + (2*t^4.5)/g2 + 2*g2*t^4.5 + (2*t^4.631)/g3 + t^5.184/(g1^3*g2^2*g3) + g1^3*g2^2*g3^2*t^5.184 + t^5.316/(g1^3*g2*g3^2) + g1^3*g2*g3*t^5.316 + 3*g3^2*t^5.738 + g3*t^5.869 + (g3*t^5.869)/g2 + g2*g3*t^5.869 - 3*t^6. + t^6./g2^2 + g2^2*t^6. - t^6.131/g3 - t^6.131/(g2*g3) - (g2*t^6.131)/g3 + t^6.553/(g1^3*g2^3) + (2*t^6.553)/(g1^3*g2^2) + 2*g1^3*g2^2*g3^3*t^6.553 + g1^3*g2^3*g3^3*t^6.553 + t^6.684/(g1^3*g2^3*g3) + t^6.684/(g1^3*g2^2*g3) + t^6.684/(g1^3*g2*g3) + g1^3*g2*g3^2*t^6.684 + g1^3*g2^2*g3^2*t^6.684 + g1^3*g2^3*g3^2*t^6.684 + t^6.816/(g1^3*g3^2) - t^6.816/(g1^3*g2^2*g3^2) + t^6.816/(g1^3*g2*g3^2) + g1^3*g3*t^6.816 + g1^3*g2*g3*t^6.816 - g1^3*g2^2*g3*t^6.816 + g1^3*t^6.947 + t^6.947/(g1^3*g3^3) + 4*g3^2*t^7.238 + t^7.369/(g1^6*g2^4*g3^2) + 3*g3*t^7.369 + (5*g3*t^7.369)/g2 + 5*g2*g3*t^7.369 + g1^6*g2^4*g3^4*t^7.369 + 5*t^7.5 + (2*t^7.5)/g2^2 + (2*t^7.5)/g2 + 2*g2*t^7.5 + 2*g2^2*t^7.5 + t^7.5/(g1^6*g2^3*g3^3) + g1^6*g2^3*g3^3*t^7.5 + t^7.631/(g1^6*g2^2*g3^4) + t^7.631/g3 + t^7.631/(g2*g3) + (g2*t^7.631)/g3 + g1^6*g2^2*g3^2*t^7.631 - t^8.053/(g1^3*g2^3) + (2*t^8.053)/(g1^3*g2^2) + 2*g1^3*g2^2*g3^3*t^8.053 - g1^3*g2^3*g3^3*t^8.053 + t^8.184/(g1^3*g2^3*g3) + (3*t^8.184)/(g1^3*g2*g3) + 3*g1^3*g2*g3^2*t^8.184 + g1^3*g2^3*g3^2*t^8.184 + t^8.316/(g1^3*g3^2) + t^8.316/(g1^3*g2^2*g3^2) + g1^3*g3*t^8.316 + g1^3*g2^2*g3*t^8.316 - g1^3*t^8.447 - t^8.447/(g1^3*g3^3) + 4*g3^3*t^8.607 + 4*g3^2*t^8.738 + (g3^2*t^8.738)/g2 + g2*g3^2*t^8.738 + t^8.869/(g1^6*g2^4*g3^2) - 8*g3*t^8.869 + (g3*t^8.869)/g2^2 + (g3*t^8.869)/g2 + g2*g3*t^8.869 + g2^2*g3*t^8.869 + g1^6*g2^4*g3^4*t^8.869 - t^4.5/y - t^6./y - (g3*t^7.369)/y + t^7.5/y + t^7.631/(g3*y) + (g3^2*t^8.738)/y - (g3*t^8.869)/y + (2*g3*t^8.869)/(g2*y) + (2*g2*g3*t^8.869)/y - t^4.5*y - t^6.*y - g3*t^7.369*y + t^7.5*y + (t^7.631*y)/g3 + g3^2*t^8.738*y - g3*t^8.869*y + (2*g3*t^8.869*y)/g2 + 2*g2*g3*t^8.869*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 |
|---|---|---|---|---|---|---|---|---|
| 57510 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9678 | 1.1567 | 0.8367 | [X:[1.5221, 1.5221, 1.4779, 1.4779], M:[0.9779], q:[0.2498, 0.2498], qb:[0.228, 0.2723], phi:[0.5]] | 3*t^2.93 + t^3. + t^3.07 + t^3.69 + 2*t^3.75 + t^3.82 + 4*t^4.43 + t^4.5 + 4*t^4.57 + t^5.19 + 2*t^5.25 + t^5.32 + 5*t^5.87 + t^5.93 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 57513 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ | 0.989 | 1.1977 | 0.8257 | [X:[1.5489, 1.4942, 1.5058, 1.4511], M:[0.9511, 0.7091], q:[0.2272, 0.2819], qb:[0.224, 0.267], phi:[0.5]] | t^2.13 + 2*t^2.85 + t^2.98 + t^3. + t^3.02 + t^3.64 + t^3.71 + t^3.77 + t^4.25 + 2*t^4.35 + 2*t^4.48 + t^4.5 + 2*t^4.52 + 2*t^4.65 + 2*t^4.98 + t^5.11 + t^5.13 + 2*t^5.14 + t^5.21 + t^5.27 + t^5.37 + 3*t^5.71 + t^5.77 + 2*t^5.84 + t^5.85 + t^5.87 + t^5.9 + t^5.97 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 57512 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ | 0.9877 | 1.1935 | 0.8275 | [X:[1.535, 1.5082, 1.4918, 1.465], M:[0.965, 0.7415], q:[0.2439, 0.2706], qb:[0.2211, 0.2643], phi:[0.5]] | t^2.22 + 2*t^2.9 + t^2.98 + t^3. + t^3.02 + t^3.62 + t^3.75 + t^3.86 + 2*t^4.4 + t^4.45 + 2*t^4.48 + t^4.5 + 2*t^4.52 + 2*t^4.6 + 3*t^5.12 + t^5.2 + t^5.22 + 2*t^5.25 + t^5.28 + t^5.36 + 3*t^5.79 + t^5.84 + t^5.87 + t^5.9 + t^5.92 + t^5.95 + t^5.97 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 57511 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.9709 | 1.1639 | 0.8342 | [X:[1.5437, 1.4563, 1.5437, 1.4563], M:[0.9563, 0.9563], q:[0.2069, 0.2944], qb:[0.2494, 0.2494], phi:[0.5]] | 4*t^2.87 + t^3. + t^3.62 + 2*t^3.74 + t^3.89 + 4*t^4.37 + t^4.5 + 4*t^4.63 + t^5.12 + 2*t^5.24 + t^5.39 + 9*t^5.74 + 2*t^5.87 - 6*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47877 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ | 0.9668 | 1.1543 | 0.8376 | [X:[1.5, 1.5, 1.5, 1.5], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] | 5*t^3. + 4*t^3.75 + 9*t^4.5 + 4*t^5.25 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | {a: 495/512, c: 591/512, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2} |