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 |
|---|---|---|---|---|---|---|---|---|---|
| 45767 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.906 | 0.9685 | 0.9355 | [X:[1.6, 1.4], M:[1.0], q:[0.4], qb:[0.4], phi:[0.2]] | [X:[[0], [0]], M:[[0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 | {a: 453/500, c: 1937/2000, X1: 8/5, X2: 7/5, M1: 1, q1: 2/5, qb1: 2/5, phi1: 1/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_1$, $ M_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_2$, $ q_1^2\tilde{q}_1^2$, $ X_1$, $ \phi_1^3q_1^3$, $ M_1q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1^3q_1^3$, $ \phi_1^3\tilde{q}_1^3$ | $\phi_1^2q_1^2\tilde{q}_1^2$ | 0 | t^2.4 + t^3. + t^3.6 + t^4.2 + 2*t^4.8 + 3*t^5.4 + t^6.6 + 4*t^7.2 + 3*t^7.8 + 2*t^8.4 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6./y - t^6.6/y - t^7.2/y - t^7.8/y - t^8.4/y - t^3.6*y - t^4.2*y - t^6.*y - t^6.6*y - t^7.2*y - t^7.8*y - t^8.4*y + t^7.8*y^2 | t^2.4 + t^3. + t^3.6 + t^4.2 + 2*t^4.8 + t^5.4 + t^5.4/g1^3 + g1^3*t^5.4 + t^6.6 + 4*t^7.2 + 3*t^7.8 + 2*t^8.4 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6./y - t^6.6/y - t^7.2/y - t^7.8/y - t^8.4/y - t^3.6*y - t^4.2*y - t^6.*y - t^6.6*y - t^7.2*y - t^7.8*y - t^8.4*y + t^7.8*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45782 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2\phi_1^2q_1\tilde{q}_1$ | 0.9225 | 0.9975 | 0.9248 | [X:[1.6, 1.4], M:[1.0, 0.8], q:[0.4], qb:[0.4], phi:[0.2]] | 2*t^2.4 + t^3. + t^4.2 + 4*t^4.8 + 4*t^5.4 - t^6. - t^3.6/y - t^4.2/y - (2*t^6.)/y - t^3.6*y - t^4.2*y - 2*t^6.*y | detail | {a: 369/400, c: 399/400, X1: 8/5, X2: 7/5, M1: 1, M2: 4/5, q1: 2/5, qb1: 2/5, phi1: 1/5} |
| 45780 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2q_1\tilde{q}_1$ | 0.8895 | 0.9395 | 0.9468 | [X:[1.6, 1.4], M:[1.0, 1.2], q:[0.4], qb:[0.4], phi:[0.2]] | t^3. + 2*t^3.6 + t^4.2 + t^4.8 + 2*t^5.4 - t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 1779/2000, c: 1879/2000, X1: 8/5, X2: 7/5, M1: 1, M2: 6/5, q1: 2/5, qb1: 2/5, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45759 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.9197 | 0.9681 | 0.95 | [X:[1.6452, 1.4678], M:[0.8871], q:[0.4678], qb:[0.4678], phi:[0.1774]] | t^2.66 + t^2.81 + t^3.87 + t^4.4 + t^4.94 + t^5.32 + t^5.47 + t^5.61 + 2*t^5.81 - 2*t^6. - t^3.53/y - t^4.06/y - t^3.53*y - t^4.06*y | detail |