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 |
|---|---|---|---|---|---|---|---|---|---|
| 8810 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ | 1.1349 | 1.2876 | 0.8814 | [X:[1.5875], M:[0.8874, 1.175, 0.7625, 1.0312], q:[0.4532, 0.3094], qb:[], phi:[0.2062]] | [X:[[4]], M:[[-28], [8], [12], [-10]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_1q_2$, $ \phi_1^4$, $ M_1$, $ M_4$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_3^2$, $ \phi_1^3q_1^2$, $ M_3q_1q_2$, $ q_1^2q_2^2$, $ M_3\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1M_3$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1\phi_1^4$, $ M_1^2$, $ M_3M_4$, $ M_4q_1q_2$, $ M_1M_4$, $ M_2M_3$, $ M_2q_1q_2$, $ M_3\phi_1^2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$ | 0 | 2*t^2.29 + t^2.47 + t^2.66 + t^3.09 + 2*t^3.53 + t^4.14 + 4*t^4.58 + 3*t^4.76 + 3*t^4.95 + t^5.14 + t^5.32 + 2*t^5.38 + t^5.76 + 4*t^5.81 + 2*t^6.19 + t^6.43 + 2*t^6.62 + 6*t^6.86 + 7*t^7.05 + 6*t^7.24 + 3*t^7.42 + 3*t^7.61 + 4*t^7.67 + t^7.8 + t^7.99 + 2*t^8.04 + 7*t^8.1 + t^8.42 + 4*t^8.47 - t^8.66 + 2*t^8.72 + 2*t^8.85 - t^8.91 + t^8.47/y^2 - (2*t^8.91)/y^2 - t^3.62/y - t^4.86/y - (2*t^5.91)/y - t^6.09/y - t^6.28/y - t^6.71/y - (3*t^7.14)/y - t^7.52/y + t^7.58/y + (2*t^7.76)/y + t^7.95/y + t^8.14/y - (3*t^8.19)/y - t^8.38/y - t^8.57/y + (4*t^8.81)/y - t^8.94/y - t^3.62*y - t^4.86*y - 2*t^5.91*y - t^6.09*y - t^6.28*y - t^6.71*y - 3*t^7.14*y - t^7.52*y + t^7.58*y + 2*t^7.76*y + t^7.95*y + t^8.14*y - 3*t^8.19*y - t^8.38*y - t^8.57*y + 4*t^8.81*y - t^8.94*y + t^8.47*y^2 - 2*t^8.91*y^2 | 2*g1^12*t^2.29 + t^2.47/g1^8 + t^2.66/g1^28 + t^3.09/g1^10 + 2*g1^8*t^3.53 + g1^6*t^4.14 + 4*g1^24*t^4.58 + 3*g1^4*t^4.76 + (3*t^4.95)/g1^16 + t^5.14/g1^36 + t^5.32/g1^56 + 2*g1^2*t^5.38 + t^5.76/g1^38 + 4*g1^20*t^5.81 + (2*t^6.19)/g1^20 + g1^18*t^6.43 + (2*t^6.62)/g1^2 + 6*g1^36*t^6.86 + 7*g1^16*t^7.05 + (6*t^7.24)/g1^4 + (3*t^7.42)/g1^24 + (3*t^7.61)/g1^44 + 4*g1^14*t^7.67 + t^7.8/g1^64 + t^7.99/g1^84 + (2*t^8.04)/g1^26 + 7*g1^32*t^8.1 + t^8.42/g1^66 + (4*t^8.47)/g1^8 - t^8.66/g1^28 + 2*g1^30*t^8.72 + (2*t^8.85)/g1^48 - g1^10*t^8.91 + t^8.47/(g1^8*y^2) - (2*g1^10*t^8.91)/y^2 - t^3.62/(g1^2*y) - t^4.86/(g1^6*y) - (2*g1^10*t^5.91)/y - t^6.09/(g1^10*y) - t^6.28/(g1^30*y) - t^6.71/(g1^12*y) - (3*g1^6*t^7.14)/y - t^7.52/(g1^34*y) + (g1^24*t^7.58)/y + (2*g1^4*t^7.76)/y + t^7.95/(g1^16*y) + t^8.14/(g1^36*y) - (3*g1^22*t^8.19)/y - (g1^2*t^8.38)/y - t^8.57/(g1^18*y) + (4*g1^20*t^8.81)/y - t^8.94/(g1^58*y) - (t^3.62*y)/g1^2 - (t^4.86*y)/g1^6 - 2*g1^10*t^5.91*y - (t^6.09*y)/g1^10 - (t^6.28*y)/g1^30 - (t^6.71*y)/g1^12 - 3*g1^6*t^7.14*y - (t^7.52*y)/g1^34 + g1^24*t^7.58*y + 2*g1^4*t^7.76*y + (t^7.95*y)/g1^16 + (t^8.14*y)/g1^36 - 3*g1^22*t^8.19*y - g1^2*t^8.38*y - (t^8.57*y)/g1^18 + 4*g1^20*t^8.81*y - (t^8.94*y)/g1^58 + (t^8.47*y^2)/g1^8 - 2*g1^10*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 8915 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_1M_4$ | 1.1324 | 1.287 | 0.8799 | [X:[1.5789], M:[0.9474, 1.1579, 0.7368, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | 2*t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^4.11 + 4*t^4.42 + 3*t^4.74 + 3*t^5.05 + 3*t^5.37 + 5*t^5.68 + t^6. - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y | detail | {a: 124275/109744, c: 70621/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 14/19, M4: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8638 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ | 1.1382 | 1.2942 | 0.8795 | [X:[1.5841], M:[0.9112, 1.1682, 0.7523], q:[0.4404, 0.3119], qb:[], phi:[0.2079]] | 2*t^2.26 + t^2.5 + t^2.73 + t^2.88 + 2*t^3.5 + t^4.13 + 4*t^4.51 + 3*t^4.75 + 3*t^4.99 + 2*t^5.14 + t^5.23 + t^5.38 + t^5.47 + 5*t^5.76 - t^3.62/y - t^4.87/y - (2*t^5.88)/y - t^3.62*y - t^4.87*y - 2*t^5.88*y | detail |