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 |
|---|---|---|---|---|---|---|---|---|---|
| 45766 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9307 | 0.9932 | 0.9371 | [X:[1.6364, 1.4545], M:[0.7273], q:[0.4545], qb:[0.4545], phi:[0.1818]] | [X:[[0], [0]], M:[[0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 | {a: 19821/21296, c: 1322/1331, X1: 18/11, X2: 16/11, M1: 8/11, q1: 5/11, qb1: 5/11, phi1: 2/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ X_2$, $ M_1q_1\tilde{q}_1$, $ X_1$, $ M_1\phi_1q_1\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3q_1^3$, $ \phi_1^3\tilde{q}_1^3$ | . | -1 | t^2.18 + t^2.73 + t^3.27 + 2*t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^6. + 2*t^6.55 + 3*t^7.09 + 5*t^7.64 + t^8.18 + t^7.64/y^2 - t^8.73/y^2 - t^3.55/y - t^4.09/y - t^5.73/y - (2*t^6.27)/y - t^6.82/y - (2*t^8.45)/y - t^3.55*y - t^4.09*y - t^5.73*y - 2*t^6.27*y - t^6.82*y - 2*t^8.45*y + t^7.64*y^2 - t^8.73*y^2 | t^2.18 + t^2.73 + t^3.27 + 2*t^4.36 + 2*t^4.91 + 2*t^5.45 + t^5.73/g1^3 + g1^3*t^5.73 - t^6. + 2*t^6.55 + 3*t^7.09 + 5*t^7.64 + t^8.18 + t^7.64/y^2 - t^8.73/y^2 - t^3.55/y - t^4.09/y - t^5.73/y - (2*t^6.27)/y - t^6.82/y - (2*t^8.45)/y - t^3.55*y - t^4.09*y - t^5.73*y - 2*t^6.27*y - t^6.82*y - 2*t^8.45*y + t^7.64*y^2 - t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 45783 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ + $ M_2\phi_1q_1\tilde{q}_1$ | 0.939 | 1.0072 | 0.9323 | [X:[1.6364, 1.4545], M:[0.7273, 0.9091], q:[0.4545], qb:[0.4545], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.73 - 2*t^6. - t^3.55/y - t^4.09/y - t^5.73/y - t^3.55*y - t^4.09*y - t^5.73*y | detail | {a: 909/968, c: 975/968, X1: 18/11, X2: 16/11, M1: 8/11, M2: 10/11, q1: 5/11, qb1: 5/11, phi1: 2/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45758 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ | 0.9109 | 0.9563 | 0.9525 | [X:[1.6364, 1.4545], M:[], q:[0.4545], qb:[0.4545], phi:[0.1818]] | t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + t^5.45 + 2*t^5.73 - t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 9699/10648, c: 10183/10648, X1: 18/11, X2: 16/11, q1: 5/11, qb1: 5/11, phi1: 2/11} |