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 |
|---|---|---|---|---|---|---|---|---|---|
| 8353 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_1\phi_1q_1^2$ | 1.1295 | 1.2795 | 0.8828 | [X:[1.6], M:[0.8], q:[0.5, 0.3], qb:[], phi:[0.2]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 2259/2000, c: 2559/2000, X1: 8/5, M1: 4/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$, $ X_1$, $ M_1\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1q_2^3$ | $\phi_1^5q_1^2$, $ M_1\phi_1^3q_2^2$, $ \phi_1^7q_2^2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^3q_1q_2^3$, $ \phi_1^4q_2^4$ | 6 | 4*t^2.4 + t^3. + 2*t^3.6 + t^4.2 + 12*t^4.8 + 3*t^5.4 + 6*t^6. + 3*t^6.6 + 27*t^7.2 + 7*t^7.8 + 12*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (4*t^6.)/y - t^6.6/y - (4*t^7.2)/y + (5*t^7.8)/y - (6*t^8.4)/y - t^3.6*y - t^4.8*y - 4*t^6.*y - t^6.6*y - 4*t^7.2*y + 5*t^7.8*y - 6*t^8.4*y + t^8.4*y^2 | 4*t^2.4 + t^3. + 2*t^3.6 + t^4.2 + 12*t^4.8 + 3*t^5.4 + 6*t^6. + 3*t^6.6 + 27*t^7.2 + 7*t^7.8 + 12*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (4*t^6.)/y - t^6.6/y - (4*t^7.2)/y + (5*t^7.8)/y - (6*t^8.4)/y - t^3.6*y - t^4.8*y - 4*t^6.*y - t^6.6*y - 4*t^7.2*y + 5*t^7.8*y - 6*t^8.4*y + t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 8507 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1^2$ | 1.146 | 1.3085 | 0.8758 | [X:[1.6], M:[0.8, 0.8], q:[0.5, 0.3], qb:[], phi:[0.2]] | 5*t^2.4 + t^3. + t^3.6 + t^4.2 + 17*t^4.8 + 4*t^5.4 + 3*t^6. - t^3.6/y - t^4.8/y - (5*t^6.)/y - t^3.6*y - t^4.8*y - 5*t^6.*y | detail | {a: 573/500, c: 2617/2000, X1: 8/5, M1: 4/5, M2: 4/5, q1: 1/2, q2: 3/10, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8201 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ | 1.1784 | 1.3155 | 0.8958 | [X:[1.6343], M:[0.7314], q:[0.4571, 0.4458], qb:[], phi:[0.1828]] | 2*t^2.19 + t^2.71 + t^3.22 + t^3.26 + t^3.29 + t^4.32 + t^4.35 + 4*t^4.39 + 3*t^4.9 + 3*t^5.42 + 2*t^5.45 + 2*t^5.49 + t^5.93 - t^6. - t^3.55/y - t^4.65/y - (2*t^5.74)/y - t^3.55*y - t^4.65*y - 2*t^5.74*y | detail |