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 |
|---|---|---|---|---|---|---|---|---|---|
| 45772 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_1^2$ + $ q_1\tilde{q}_1X_3$ | 0.7808 | 0.8589 | 0.909 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25], qb:[0.25], phi:[0.25]] | [X:[[0], [0], [0]], M:[[0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 | {a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, qb1: 1/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1q_1\tilde{q}_1$, $ M_1$, $ X_2$, $ \phi_1^3q_1^3$, $ \phi_1^2q_1^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^3$, $ X_1$, $ X_3$, $ \phi_1^3q_1^3$, $ \phi_1^3\tilde{q}_1^3$, $ M_1\phi_1q_1\tilde{q}_1$ | $\phi_1q_1\tilde{q}_1X_2$ | 0 | t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 + 4*t^6.75 + 3*t^7.5 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - t^7.5/y - t^8.25/y - t^3.75*y - t^4.5*y - t^6.75*y - t^7.5*y - t^8.25*y + t^8.25*y^2 | t^2.25 + t^3. + t^3.75 + 3*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + t^5.25 + 2*t^6.75 + t^6.75/g1^3 + g1^3*t^6.75 + 3*t^7.5 + 2*t^8.25 - t^8.25/g1^3 - g1^3*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - t^7.5/y - t^8.25/y - t^3.75*y - t^4.5*y - t^6.75*y - t^7.5*y - t^8.25*y + t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 45785 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_1^2$ + $ q_1\tilde{q}_1X_3$ + $ M_2X_2$ | 0.7998 | 0.8936 | 0.8951 | [X:[1.5, 1.25, 1.5], M:[1.0, 0.75], q:[0.25], qb:[0.25], phi:[0.25]] | 2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 819/1024, c: 915/1024, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, M2: 3/4, q1: 1/4, qb1: 1/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45761 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506], qb:[0.4506], phi:[0.1831]] | t^2.2 + t^2.7 + t^3.25 + t^4.35 + t^4.4 + 2*t^4.9 + t^5.41 + t^5.45 + 2*t^5.7 + t^5.96 - 2*t^6. - t^3.55/y - t^4.1/y - t^5.75/y - t^3.55*y - t^4.1*y - t^5.75*y | detail |