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 |
|---|---|---|---|---|---|---|---|---|---|
| 479 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | [X:[[5]], M:[[-1], [-5], [1], [0]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 + t^6.23 + t^6.247 + t^6.477 + 2*t^6.494 - t^6.511 + t^6.725 + 2*t^6.742 - t^6.758 + 3*t^6.989 - t^7.006 + 3*t^7.236 + 3*t^7.483 - t^7.5 + t^7.517 + 2*t^7.73 + 3*t^7.977 + 2*t^8.225 - t^8.242 + 2*t^8.472 + t^8.489 - t^8.506 + t^8.719 + 2*t^8.736 - 2*t^8.753 + t^8.966 + 2*t^8.983 - t^4.253/y - t^6.758/y + (2*t^7.747)/y + t^7.994/y + t^8.242/y + t^8.258/y + t^8.489/y + t^8.506/y + t^8.736/y + (2*t^8.753)/y + t^8.983/y - t^4.253*y - t^6.758*y + 2*t^7.747*y + t^7.994*y + t^8.242*y + t^8.258*y + t^8.489*y + t^8.506*y + t^8.736*y + 2*t^8.753*y + t^8.983*y | g1^3*t^2.242 + t^2.506/g1^2 + t^2.753/g1 + t^3. + g1*t^3.247 + g1^2*t^3.494 + g1^3*t^3.742 + g1^4*t^3.989 + g1^5*t^4.236 + g1^6*t^4.483 + 2*g1*t^4.747 + g1^2*t^4.994 + t^5.011/g1^4 + g1^3*t^5.242 + g1^4*t^5.489 + t^5.506/g1^2 + g1^5*t^5.736 + t^5.753/g1 + g1^6*t^5.983 + g1^7*t^6.23 + g1*t^6.247 + g1^8*t^6.477 + 2*g1^2*t^6.494 - t^6.511/g1^4 + g1^9*t^6.725 + 2*g1^3*t^6.742 - t^6.758/g1^3 + 3*g1^4*t^6.989 - t^7.006/g1^2 + 3*g1^5*t^7.236 + 3*g1^6*t^7.483 - t^7.5 + t^7.517/g1^6 + 2*g1^7*t^7.73 + 3*g1^8*t^7.977 + 2*g1^9*t^8.225 - g1^3*t^8.242 + 2*g1^10*t^8.472 + g1^4*t^8.489 - t^8.506/g1^2 + g1^11*t^8.719 + 2*g1^5*t^8.736 - (2*t^8.753)/g1 + g1^12*t^8.966 + 2*g1^6*t^8.983 - t^4.253/(g1*y) - t^6.758/(g1^3*y) + (2*g1*t^7.747)/y + (g1^2*t^7.994)/y + (g1^3*t^8.242)/y + t^8.258/(g1^3*y) + (g1^4*t^8.489)/y + t^8.506/(g1^2*y) + (g1^5*t^8.736)/y + (2*t^8.753)/(g1*y) + (g1^6*t^8.983)/y - (t^4.253*y)/g1 - (t^6.758*y)/g1^3 + 2*g1*t^7.747*y + g1^2*t^7.994*y + g1^3*t^8.242*y + (t^8.258*y)/g1^3 + g1^4*t^8.489*y + (t^8.506*y)/g1^2 + g1^5*t^8.736*y + (2*t^8.753*y)/g1 + g1^6*t^8.983*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 |
|---|---|---|---|---|---|---|---|---|
| 765 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5367 | 0.6539 | 0.8208 | [X:[1.625], M:[0.875, 0.375, 1.125, 1.0], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.375 + t^3.75 + t^4.125 + 2*t^4.5 + 3*t^4.875 + 3*t^5.25 + 2*t^5.625 - t^4.125/y - t^4.125*y | detail | {a: 8793/16384, c: 10713/16384, X1: 13/8, M1: 7/8, M2: 3/8, M3: 9/8, M4: 1, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| 1859 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.5734 | 0.7245 | 0.7915 | [X:[1.4135], M:[0.9173, 0.5865, 1.0827, 1.0, 0.6692], q:[0.8327, 0.75], qb:[0.25, 0.4981], phi:[0.4173]] | t^2.008 + t^2.244 + t^2.504 + t^2.752 + t^3. + t^3.248 + t^3.496 + t^3.744 + t^4.015 + t^4.24 + t^4.252 + t^4.489 + t^4.511 + 2*t^4.748 + t^4.76 + t^4.996 + 2*t^5.008 + t^5.244 + t^5.256 + t^5.492 + 2*t^5.504 + t^5.74 + 2*t^5.752 + t^5.989 - t^4.252/y - t^4.252*y | detail | |
| 1858 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.5719 | 0.7171 | 0.7975 | [X:[1.4402], M:[0.912, 0.5598, 1.088, 1.0, 0.7359], q:[0.838, 0.75], qb:[0.25, 0.5141], phi:[0.412]] | t^2.208 + t^2.292 + t^2.472 + t^2.736 + t^3. + t^3.264 + t^3.528 + t^4.057 + t^4.321 + t^4.415 + t^4.5 + t^4.585 + t^4.679 + 2*t^4.764 + 2*t^4.943 + t^5.028 + t^5.208 + t^5.292 + 2*t^5.472 + t^5.557 + 2*t^5.736 + t^5.821 - t^4.236/y - t^4.236*y | detail | |
| 770 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5498 | 0.6748 | 0.8147 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 2199/4000, c: 2699/4000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
| 767 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5526 | 0.6828 | 0.8093 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3395/6144, c: 4195/6144, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
| 768 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.474 | 0.5573 | 0.8505 | [X:[1.8333, 1.3333], M:[0.8333, 0.1667, 1.1667, 1.0], q:[0.9167, 0.75], qb:[0.25, 0.75], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^5. + t^5.5 - t^4./y - t^4.*y | detail | {a: 91/192, c: 107/192, X1: 11/6, X2: 4/3, M1: 5/6, M2: 1/6, M3: 7/6, M4: 1, q1: 11/12, q2: 3/4, qb1: 1/4, qb2: 3/4, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |