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 |
|---|---|---|---|---|---|---|---|---|---|
| 8879 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_3M_5$ | 1.1464 | 1.2714 | 0.9017 | [X:[1.6162], M:[1.1513, 1.0406, 0.9594, 0.8782, 1.0406], q:[0.3838, 0.465], qb:[], phi:[0.1919]] | [X:[[2]], M:[[-6], [5], [-5], [-15], [5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_4$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ X_1$, $ M_4\phi_1^4$, $ M_4^2$, $ M_2\phi_1^4$, $ M_5\phi_1^4$, $ M_2M_4$, $ M_4M_5$, $ M_1\phi_1^4$ | $\phi_1^6q_1q_2$ | -1 | t^2.3 + t^2.63 + 2*t^3.12 + t^3.45 + t^3.7 + t^4.03 + t^4.27 + t^4.52 + t^4.61 + t^4.85 + t^4.94 + t^5.27 + 2*t^5.42 + 2*t^5.76 - t^6. + t^6.09 + 2*t^6.24 + t^6.33 + 2*t^6.58 + t^6.66 + 2*t^6.82 + 2*t^6.91 + 4*t^7.15 + t^7.24 + t^7.39 + t^7.48 + t^7.57 + 2*t^7.64 + 2*t^7.73 + t^7.9 + 2*t^7.97 + 3*t^8.06 + 2*t^8.3 + 2*t^8.39 + 3*t^8.55 - t^8.63 + t^8.72 + t^8.79 + t^8.88 + t^8.97 + t^8.3/y^2 - t^8.88/y^2 - t^3.58/y - t^4.73/y - t^5.88/y - t^6.21/y - (2*t^6.7)/y - (2*t^7.03)/y - t^7.36/y - (2*t^7.85)/y + t^7.94/y - (2*t^8.18)/y + (2*t^8.42)/y - t^8.51/y + (3*t^8.76)/y - t^8.84/y - t^3.58*y - t^4.73*y - t^5.88*y - t^6.21*y - 2*t^6.7*y - 2*t^7.03*y - t^7.36*y - 2*t^7.85*y + t^7.94*y - 2*t^8.18*y + 2*t^8.42*y - t^8.51*y + 3*t^8.76*y - t^8.84*y + t^8.3*y^2 - t^8.88*y^2 | t^2.3/g1^4 + t^2.63/g1^15 + 2*g1^5*t^3.12 + t^3.45/g1^6 + g1^4*t^3.7 + t^4.03/g1^7 + g1^3*t^4.27 + g1^13*t^4.52 + t^4.61/g1^8 + g1^2*t^4.85 + t^4.94/g1^19 + t^5.27/g1^30 + 2*g1*t^5.42 + (2*t^5.76)/g1^10 - t^6. + t^6.09/g1^21 + 2*g1^10*t^6.24 + t^6.33/g1^11 + (2*t^6.58)/g1 + t^6.66/g1^22 + 2*g1^9*t^6.82 + (2*t^6.91)/g1^12 + (4*t^7.15)/g1^2 + t^7.24/g1^23 + g1^8*t^7.39 + t^7.48/g1^13 + t^7.57/g1^34 + 2*g1^18*t^7.64 + (2*t^7.73)/g1^3 + t^7.9/g1^45 + 2*g1^7*t^7.97 + (3*t^8.06)/g1^14 + (2*t^8.3)/g1^4 + (2*t^8.39)/g1^25 + 3*g1^6*t^8.55 - t^8.63/g1^15 + t^8.72/g1^36 + g1^16*t^8.79 + t^8.88/g1^5 + t^8.97/g1^26 + t^8.3/(g1^4*y^2) - t^8.88/(g1^5*y^2) - t^3.58/(g1*y) - t^4.73/(g1^3*y) - t^5.88/(g1^5*y) - t^6.21/(g1^16*y) - (2*g1^4*t^6.7)/y - (2*t^7.03)/(g1^7*y) - t^7.36/(g1^18*y) - (2*g1^2*t^7.85)/y + t^7.94/(g1^19*y) - (2*t^8.18)/(g1^9*y) + (2*g1*t^8.42)/y - t^8.51/(g1^20*y) + (3*t^8.76)/(g1^10*y) - t^8.84/(g1^31*y) - (t^3.58*y)/g1 - (t^4.73*y)/g1^3 - (t^5.88*y)/g1^5 - (t^6.21*y)/g1^16 - 2*g1^4*t^6.7*y - (2*t^7.03*y)/g1^7 - (t^7.36*y)/g1^18 - 2*g1^2*t^7.85*y + (t^7.94*y)/g1^19 - (2*t^8.18*y)/g1^9 + 2*g1*t^8.42*y - (t^8.51*y)/g1^20 + (3*t^8.76*y)/g1^10 - (t^8.84*y)/g1^31 + (t^8.3*y^2)/g1^4 - (t^8.88*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8962 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_3M_5$ + $ M_4\phi_1^4$ | 1.0982 | 1.2232 | 0.8978 | [X:[1.5789], M:[1.2632, 0.9474, 1.0526, 1.1579, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.53 + 2*t^2.84 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + 2*t^5.37 + 2*t^5.68 - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 60261/54872, c: 8390/6859, X1: 30/19, M1: 24/19, M2: 18/19, M3: 20/19, M4: 22/19, M5: 18/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8774 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ | 1.1506 | 1.2786 | 0.8999 | [X:[1.6194], M:[1.1419, 1.0484, 0.9516, 0.8548], q:[0.3806, 0.4774], qb:[], phi:[0.1903]] | t^2.28 + t^2.56 + t^2.85 + t^3.15 + t^3.43 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + t^4.86 + t^5.13 + t^5.14 + t^5.42 + t^5.43 + 2*t^5.71 + t^5.99 - t^3.57/y - t^4.71/y - t^5.85/y - t^3.57*y - t^4.71*y - t^5.85*y | detail |