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 |
|---|---|---|---|---|---|---|---|---|---|
| 3270 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6475 | 0.812 | 0.7974 | [X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [-1, 1], [2, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | t^2.303 + 2*t^2.352 + t^2.4 + t^2.497 + 2*t^3.552 + 2*t^3.6 + t^4.607 + 2*t^4.655 + 4*t^4.703 + 2*t^4.752 + 3*t^4.8 + 2*t^4.848 + t^4.897 + t^4.993 + 2*t^5.855 + 5*t^5.903 + 4*t^5.952 - t^6. + t^6.097 + t^6.91 + 2*t^6.958 + 4*t^7.007 + 6*t^7.055 + 7*t^7.103 + 6*t^7.152 + 4*t^7.2 - 2*t^7.248 + t^7.297 + 2*t^7.345 + t^7.393 + t^7.49 + 2*t^8.158 + 5*t^8.207 + 8*t^8.255 + 3*t^8.303 - 2*t^8.352 - 2*t^8.448 - 3*t^8.497 + t^8.593 - t^4.2/y - t^6.503/y - (2*t^6.552)/y - t^6.697/y + (2*t^7.655)/y + (3*t^7.703)/y + (2*t^7.752)/y + t^7.8/y + (4*t^7.848)/y + (2*t^7.897)/y - t^8.807/y + (3*t^8.903)/y + (6*t^8.952)/y - t^4.2*y - t^6.503*y - 2*t^6.552*y - t^6.697*y + 2*t^7.655*y + 3*t^7.703*y + 2*t^7.752*y + t^7.8*y + 4*t^7.848*y + 2*t^7.897*y - t^8.807*y + 3*t^8.903*y + 6*t^8.952*y | g1*g2*t^2.303 + g1^2*t^2.352 + (g2*t^2.352)/g1 + t^2.4 + t^2.497/(g1*g2) + g1^2*t^3.552 + (g2*t^3.552)/g1 + 2*t^3.6 + g1^2*g2^2*t^4.607 + g1^3*g2*t^4.655 + g2^2*t^4.655 + g1^4*t^4.703 + 2*g1*g2*t^4.703 + (g2^2*t^4.703)/g1^2 + g1^2*t^4.752 + (g2*t^4.752)/g1 + 3*t^4.8 + t^4.848/g1^2 + (g1*t^4.848)/g2 + t^4.897/(g1*g2) + t^4.993/(g1^2*g2^2) + g1^3*g2*t^5.855 + g2^2*t^5.855 + g1^4*t^5.903 + 3*g1*g2*t^5.903 + (g2^2*t^5.903)/g1^2 + 2*g1^2*t^5.952 + (2*g2*t^5.952)/g1 - t^6. + t^6.097/(g1*g2) + g1^3*g2^3*t^6.91 + g1^4*g2^2*t^6.958 + g1*g2^3*t^6.958 + g1^5*g2*t^7.007 + 2*g1^2*g2^2*t^7.007 + (g2^3*t^7.007)/g1 + g1^6*t^7.055 + 2*g1^3*g2*t^7.055 + 2*g2^2*t^7.055 + (g2^3*t^7.055)/g1^3 + 2*g1^4*t^7.103 + 3*g1*g2*t^7.103 + (2*g2^2*t^7.103)/g1^2 + 3*g1^2*t^7.152 + (3*g2*t^7.152)/g1 + 2*t^7.2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 - t^7.248/g1^2 - (g1*t^7.248)/g2 + t^7.297/(g1*g2) + t^7.345/g2^2 + t^7.345/(g1^3*g2) + t^7.393/(g1^2*g2^2) + t^7.49/(g1^3*g2^3) + g1^4*g2^2*t^8.158 + g1*g2^3*t^8.158 + g1^5*g2*t^8.207 + 3*g1^2*g2^2*t^8.207 + (g2^3*t^8.207)/g1 + g1^6*t^8.255 + 3*g1^3*g2*t^8.255 + 3*g2^2*t^8.255 + (g2^3*t^8.255)/g1^3 + 2*g1^4*t^8.303 - g1*g2*t^8.303 + (2*g2^2*t^8.303)/g1^2 - g1^2*t^8.352 - (g2*t^8.352)/g1 - t^8.448/g1^2 - (g1*t^8.448)/g2 - (3*t^8.497)/(g1*g2) + t^8.593/(g1^2*g2^2) - t^4.2/y - (g1*g2*t^6.503)/y - (g1^2*t^6.552)/y - (g2*t^6.552)/(g1*y) - t^6.697/(g1*g2*y) + (g1^3*g2*t^7.655)/y + (g2^2*t^7.655)/y + (3*g1*g2*t^7.703)/y + (g1^2*t^7.752)/y + (g2*t^7.752)/(g1*y) + t^7.8/y + (2*t^7.848)/(g1^2*y) + (2*g1*t^7.848)/(g2*y) + (2*t^7.897)/(g1*g2*y) - (g1^2*g2^2*t^8.807)/y + (3*g1*g2*t^8.903)/y + (3*g1^2*t^8.952)/y + (3*g2*t^8.952)/(g1*y) - t^4.2*y - g1*g2*t^6.503*y - g1^2*t^6.552*y - (g2*t^6.552*y)/g1 - (t^6.697*y)/(g1*g2) + g1^3*g2*t^7.655*y + g2^2*t^7.655*y + 3*g1*g2*t^7.703*y + g1^2*t^7.752*y + (g2*t^7.752*y)/g1 + t^7.8*y + (2*t^7.848*y)/g1^2 + (2*g1*t^7.848*y)/g2 + (2*t^7.897*y)/(g1*g2) - g1^2*g2^2*t^8.807*y + 3*g1*g2*t^8.903*y + 3*g1^2*t^8.952*y + (3*g2*t^8.952*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3700 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}X_{2}$ | 0.5784 | 0.7034 | 0.8223 | [X:[1.6, 1.4], M:[1.0, 0.6, 1.2, 0.4, 0.9, 0.9], q:[0.35, 0.65], qb:[0.45, 0.95], phi:[0.4]] | t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 + 2*t^5.1 + 3*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 1851/3200, c: 2251/3200, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 6/5, M4: 2/5, M5: 9/10, M6: 9/10, q1: 7/20, q2: 13/20, qb1: 9/20, qb2: 19/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2756 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6312 | 0.7837 | 0.8054 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + t^2.4 + t^2.44 + t^3.48 + t^3.52 + 2*t^3.6 + t^3.68 + t^4.559 + t^4.64 + t^4.68 + 2*t^4.72 + t^4.76 + 3*t^4.8 + t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + t^5.92 + 3*t^5.96 - t^6. - t^4.2/y - t^4.2*y | detail |