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 |
|---|---|---|---|---|---|---|---|---|---|
| 1809 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ | 0.5603 | 0.6728 | 0.8328 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 2241/4000, c: 2691/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | 0 | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 + 2*t^6.3 + 3*t^6.6 + 2*t^6.9 + 5*t^7.2 + 2*t^7.5 + 3*t^7.8 + 2*t^8.1 + t^8.4 - 2*t^8.7 - t^4.2/y + t^8.4/y + (2*t^8.7)/y - t^4.2*y + t^8.4*y + 2*t^8.7*y | t^2.4 + t^3. + t^3.3/g1^2 + g1^2*t^3.3 + 2*t^3.6 + t^3.9/g1^2 + g1^2*t^3.9 + t^4.2 + 2*t^4.8 + t^6.3/g1^2 + g1^2*t^6.3 + t^6.6 + t^6.6/g1^4 + g1^4*t^6.6 + t^6.9/g1^2 + g1^2*t^6.9 + 3*t^7.2 + t^7.2/g1^4 + g1^4*t^7.2 + t^7.5/g1^2 + g1^2*t^7.5 + t^7.8 + t^7.8/g1^4 + g1^4*t^7.8 + t^8.1/g1^2 + g1^2*t^8.1 + t^8.4 - t^8.7/g1^2 - g1^2*t^8.7 - t^4.2/y + t^8.4/y + t^8.7/(g1^2*y) + (g1^2*t^8.7)/y - t^4.2*y + t^8.4*y + (t^8.7*y)/g1^2 + g1^2*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 2825 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5809 | 0.7127 | 0.815 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.6904], q:[0.6452, 0.3548], qb:[0.9548, 0.4452], phi:[0.4]] | t^2.071 + t^2.4 + t^3. + t^3.271 + t^3.329 + 2*t^3.6 + t^3.871 + t^4.143 + t^4.2 + t^4.471 + 2*t^4.8 + t^5.071 + t^5.343 + t^5.4 + 2*t^5.671 + t^5.943 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 364 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7111 | 0.8727 | 0.8148 | [M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.482 + t^2.655 + t^2.827 + t^3. + t^3.152 + t^3.173 + t^3.194 + t^4.089 + t^4.241 + t^4.393 + t^4.414 + t^4.565 + t^4.607 + t^4.738 + t^4.759 + t^4.932 + t^4.964 + t^5.126 + t^5.136 + 2*t^5.309 + t^5.482 + 3*t^5.655 + t^5.827 + t^5.979 - 2*t^6. - t^4.414/y - t^4.414*y | detail |