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 |
|---|---|---|---|---|---|---|---|---|---|
| 45762 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ \phi_1^3q_1^3$ | 0.9083 | 0.9538 | 0.9523 | [X:[1.6364, 1.4545], M:[], q:[0.4848], qb:[0.4242], phi:[0.1818]] | [X:[[0], [0]], M:[], q:[[0]], qb:[[0]], phi:[[0]]] | 0 | {a: 1209/1331, c: 2539/2662, X1: 18/11, X2: 16/11, q1: 16/33, qb1: 14/33, phi1: 2/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_2$, $ X_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^3$ | . | 0 | t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.45 + t^6.55 + 2*t^7.09 + 3*t^7.64 + 2*t^8.18 + t^8.73 + t^7.64/y^2 - t^3.55/y - t^4.09/y - t^6.27/y - t^6.82/y - t^7.36/y - t^7.91/y - t^8.45/y - t^3.55*y - t^4.09*y - t^6.27*y - t^6.82*y - t^7.36*y - t^7.91*y - t^8.45*y + t^7.64*y^2 | t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.45 + t^6.55 + 2*t^7.09 + 3*t^7.64 + 2*t^8.18 + t^8.73 + t^7.64/y^2 - t^3.55/y - t^4.09/y - t^6.27/y - t^6.82/y - t^7.36/y - t^7.91/y - t^8.45/y - t^3.55*y - t^4.09*y - t^6.27*y - t^6.82*y - t^7.36*y - t^7.91*y - t^8.45*y + t^7.64*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 |
|---|---|---|---|---|---|---|---|---|
| 45778 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ \phi_1^3q_1^3$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.9167 | 0.9678 | 0.9472 | [X:[1.6364, 1.4545], M:[0.9091], q:[0.4848], qb:[0.4242], phi:[0.1818]] | 2*t^2.73 + t^3.82 + t^4.36 + t^4.91 + 4*t^5.45 - t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 19521/21296, c: 10305/10648, X1: 18/11, X2: 16/11, M1: 10/11, q1: 16/33, qb1: 14/33, phi1: 2/11} |
| 45779 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ \phi_1^3q_1^3$ + $ M_1\phi_1^2q_1\tilde{q}_1$ | 0.9282 | 0.9907 | 0.9369 | [X:[1.6364, 1.4545], M:[0.7273], q:[0.4848], qb:[0.4242], phi:[0.1818]] | t^2.18 + t^2.73 + t^3.27 + 2*t^4.36 + 2*t^4.91 + 3*t^5.45 - 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: 1797/1936, c: 959/968, X1: 18/11, X2: 16/11, M1: 8/11, q1: 16/33, qb1: 14/33, phi1: 2/11} |
| 45774 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ \phi_1^3q_1^3$ + $ M_1q_1\tilde{q}_1$ | 0.9 | 0.9398 | 0.9577 | [X:[1.6364, 1.4545], M:[1.0909], q:[0.4848], qb:[0.4242], phi:[0.1818]] | 2*t^3.27 + t^3.82 + t^4.36 + t^4.91 + t^5.45 - t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 19167/21296, c: 10007/10648, X1: 18/11, X2: 16/11, M1: 12/11, q1: 16/33, qb1: 14/33, 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} |