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 |
|---|---|---|---|---|---|---|---|---|---|
| 248 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6134 | 0.7631 | 0.8038 | [M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | [M:[[2], [1], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.373 + t^2.44 + t^3. + 2*t^3.313 + t^3.56 + 2*t^3.627 + t^3.873 + t^3.94 + t^4.12 + t^4.187 + t^4.253 + t^4.747 + t^4.813 + t^4.88 + t^5.373 + t^5.44 + t^5.687 + t^5.753 + t^6.067 + t^6.313 + t^6.38 + t^6.493 + t^6.56 + 4*t^6.627 + t^6.694 + t^6.873 + 3*t^6.94 + 2*t^7.12 + 2*t^7.187 + 4*t^7.253 + t^7.32 + t^7.433 + t^7.5 + 2*t^7.567 + t^7.68 + 2*t^7.747 + t^7.813 + 3*t^7.88 + t^7.993 + t^8.06 + 2*t^8.194 + t^8.24 + t^8.306 + 2*t^8.507 - t^8.687 + t^8.82 + t^8.866 - t^4.5/y + t^7.187/y + t^8.373/y + t^8.44/y + (2*t^8.687)/y + (2*t^8.753)/y + t^8.933/y - t^4.5*y + t^7.187*y + t^8.373*y + t^8.44*y + 2*t^8.687*y + 2*t^8.753*y + t^8.933*y | t^2.373/g1^2 + g1^3*t^2.44 + t^3. + 2*g1*t^3.313 + t^3.56/g1^3 + 2*g1^2*t^3.627 + t^3.873/g1^2 + g1^3*t^3.94 + t^4.12/g1^6 + t^4.187/g1 + g1^4*t^4.253 + t^4.747/g1^4 + g1*t^4.813 + g1^6*t^4.88 + t^5.373/g1^2 + g1^3*t^5.44 + t^5.687/g1 + g1^4*t^5.753 + g1^5*t^6.067 + g1*t^6.313 + g1^6*t^6.38 + t^6.493/g1^8 + t^6.56/g1^3 + 4*g1^2*t^6.627 + g1^7*t^6.694 + t^6.873/g1^2 + 3*g1^3*t^6.94 + (2*t^7.12)/g1^6 + (2*t^7.187)/g1 + 4*g1^4*t^7.253 + g1^9*t^7.32 + t^7.433/g1^5 + t^7.5 + 2*g1^5*t^7.567 + t^7.68/g1^9 + (2*t^7.747)/g1^4 + g1*t^7.813 + 3*g1^6*t^7.88 + t^7.993/g1^8 + t^8.06/g1^3 + 2*g1^7*t^8.194 + t^8.24/g1^12 + t^8.306/g1^7 + 2*g1^8*t^8.507 - t^8.687/g1 + g1^9*t^8.82 + t^8.866/g1^10 - t^4.5/y + t^7.187/(g1*y) + t^8.373/(g1^2*y) + (g1^3*t^8.44)/y + (2*t^8.687)/(g1*y) + (2*g1^4*t^8.753)/y + t^8.933/(g1^5*y) - t^4.5*y + (t^7.187*y)/g1 + (t^8.373*y)/g1^2 + g1^3*t^8.44*y + (2*t^8.687*y)/g1 + 2*g1^4*t^8.753*y + (t^8.933*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 396 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2} |
| 395 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.623 | 0.7792 | 0.7995 | [M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | t^2.354 + t^2.469 + t^2.677 + t^3. + t^3.323 + t^3.531 + 2*t^3.646 + t^3.854 + t^3.969 + t^4.063 + t^4.177 + t^4.292 + t^4.708 + t^4.823 + t^4.937 + t^5.031 + t^5.146 + 2*t^5.354 + t^5.469 + t^5.677 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 394 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6077 | 0.7562 | 0.8037 | [M:[1.25, 1.125, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | t^2.25 + t^2.625 + t^3. + 3*t^3.375 + 4*t^3.75 + 2*t^4.125 + 2*t^4.5 + t^4.875 + 2*t^5.25 + 2*t^5.625 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 9957/16384, c: 12389/16384, M1: 5/4, M2: 9/8, M3: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
| 397 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6338 | 0.802 | 0.7903 | [M:[1.2058, 1.1029, 0.7942, 0.7058], q:[0.75, 0.4413], qb:[0.3529, 0.4558], phi:[0.5]] | t^2.117 + t^2.383 + t^2.426 + t^3. + 2*t^3.309 + t^3.574 + 2*t^3.617 + t^3.926 + t^4.148 + t^4.191 + 2*t^4.235 + t^4.5 + t^4.543 + t^4.765 + t^4.809 + t^4.852 + t^5.117 + t^5.383 + 3*t^5.426 + 2*t^5.691 + 3*t^5.735 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6219 | 0.7787 | 0.7986 | [M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.041 + t^2.433 + t^3. + 2*t^3.453 + 2*t^3.479 + t^3.567 + t^3.906 + t^3.933 + t^4.021 + t^4.047 + t^4.083 + t^4.135 + t^4.474 + t^4.865 + t^5.041 + t^5.433 + 2*t^5.495 + 2*t^5.521 + t^5.609 + t^5.886 + t^5.912 + t^5.948 - 2*t^6. - t^4.5/y - t^4.5*y | detail |