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 |
|---|---|---|---|---|---|---|---|---|---|
| 8826 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ | 1.16 | 1.295 | 0.8957 | [X:[1.6133], M:[1.0332, 0.9668, 0.9005, 1.0332], q:[0.3867, 0.4531], qb:[], phi:[0.1934]] | [X:[[2]], M:[[5], [-5], [-15], [5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3\phi_1^4$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ M_3^2$, $ M_1\phi_1^4$, $ M_4\phi_1^4$, $ M_1q_1q_2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_3M_4$ | $\phi_1^6q_1q_2$ | -1 | t^2.32 + t^2.52 + t^2.7 + 2*t^3.1 + t^3.68 + t^4.06 + t^4.26 + t^4.46 + t^4.64 + 2*t^4.84 + t^5.02 + t^5.04 + t^5.22 + t^5.4 + 2*t^5.42 + 2*t^5.62 + t^5.8 - t^6. + 3*t^6.2 + t^6.38 + t^6.58 + t^6.76 + 3*t^6.78 + t^6.96 + t^6.98 + 4*t^7.16 + t^7.34 + 3*t^7.36 + t^7.54 + 3*t^7.56 + t^7.72 + 2*t^7.74 + t^7.92 + 3*t^7.94 + t^8.1 + 2*t^8.12 + 2*t^8.14 + 2*t^8.32 + t^8.5 + 2*t^8.52 - t^8.7 + 4*t^8.72 + t^8.92 + t^8.32/y^2 - t^8.9/y^2 - t^3.58/y - t^4.74/y - t^5.9/y - t^6.1/y - t^6.28/y - (2*t^6.68)/y - t^7.06/y - t^7.26/y - t^7.44/y - t^7.84/y + t^8.02/y + t^8.42/y - t^8.6/y + t^8.62/y + t^8.8/y - t^8.98/y - t^3.58*y - t^4.74*y - t^5.9*y - t^6.1*y - t^6.28*y - 2*t^6.68*y - t^7.06*y - t^7.26*y - t^7.44*y - t^7.84*y + t^8.02*y + t^8.42*y - t^8.6*y + t^8.62*y + t^8.8*y - t^8.98*y + t^8.32*y^2 - t^8.9*y^2 | t^2.32/g1^4 + g1^6*t^2.52 + t^2.7/g1^15 + 2*g1^5*t^3.1 + g1^4*t^3.68 + t^4.06/g1^7 + g1^3*t^4.26 + g1^13*t^4.46 + t^4.64/g1^8 + 2*g1^2*t^4.84 + t^5.02/g1^19 + g1^12*t^5.04 + t^5.22/g1^9 + t^5.4/g1^30 + 2*g1*t^5.42 + 2*g1^11*t^5.62 + t^5.8/g1^10 - t^6. + 3*g1^10*t^6.2 + t^6.38/g1^11 + t^6.58/g1 + t^6.76/g1^22 + 3*g1^9*t^6.78 + t^6.96/g1^12 + g1^19*t^6.98 + (4*t^7.16)/g1^2 + t^7.34/g1^23 + 3*g1^8*t^7.36 + t^7.54/g1^13 + 3*g1^18*t^7.56 + t^7.72/g1^34 + (2*t^7.74)/g1^3 + t^7.92/g1^24 + 3*g1^7*t^7.94 + t^8.1/g1^45 + (2*t^8.12)/g1^14 + 2*g1^17*t^8.14 + (2*t^8.32)/g1^4 + t^8.5/g1^25 + 2*g1^6*t^8.52 - t^8.7/g1^15 + 4*g1^16*t^8.72 + g1^26*t^8.92 + t^8.32/(g1^4*y^2) - t^8.9/(g1^5*y^2) - t^3.58/(g1*y) - t^4.74/(g1^3*y) - t^5.9/(g1^5*y) - (g1^5*t^6.1)/y - t^6.28/(g1^16*y) - (2*g1^4*t^6.68)/y - t^7.06/(g1^7*y) - (g1^3*t^7.26)/y - t^7.44/(g1^18*y) - (g1^2*t^7.84)/y + t^8.02/(g1^19*y) + (g1*t^8.42)/y - t^8.6/(g1^20*y) + (g1^11*t^8.62)/y + t^8.8/(g1^10*y) - t^8.98/(g1^31*y) - (t^3.58*y)/g1 - (t^4.74*y)/g1^3 - (t^5.9*y)/g1^5 - g1^5*t^6.1*y - (t^6.28*y)/g1^16 - 2*g1^4*t^6.68*y - (t^7.06*y)/g1^7 - g1^3*t^7.26*y - (t^7.44*y)/g1^18 - g1^2*t^7.84*y + (t^8.02*y)/g1^19 + g1*t^8.42*y - (t^8.6*y)/g1^20 + g1^11*t^8.62*y + (t^8.8*y)/g1^10 - (t^8.98*y)/g1^31 + (t^8.32*y^2)/g1^4 - (t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 8914 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ + $ M_3\phi_1^4$ | 1.1178 | 1.2592 | 0.8877 | [X:[1.5789], M:[0.9474, 1.0526, 1.1579, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + 3*t^5.05 + 2*t^5.37 + 4*t^5.68 + t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 122667/109744, c: 69095/54872, X1: 30/19, M1: 18/19, M2: 20/19, M3: 22/19, M4: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
| 8904 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ + $ M_5\phi_1^2q_1q_2$ | 1.178 | 1.3271 | 0.8877 | [X:[1.6146], M:[1.0365, 0.9635, 0.8906, 1.0365, 0.7708], q:[0.3854, 0.4583], qb:[], phi:[0.1927]] | 2*t^2.31 + t^2.53 + t^2.67 + 2*t^3.11 + t^4.05 + t^4.27 + t^4.48 + 3*t^4.62 + 3*t^4.84 + 2*t^4.98 + t^5.06 + t^5.2 + t^5.34 + 4*t^5.42 + 2*t^5.64 + t^5.78 - 2*t^6. - t^3.58/y - t^4.73/y - (2*t^5.89)/y - t^3.58*y - t^4.73*y - 2*t^5.89*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8651 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ | 1.1634 | 1.3004 | 0.8947 | [X:[1.6163], M:[1.0408, 0.9592, 0.8775], q:[0.3837, 0.4654], qb:[], phi:[0.1918]] | t^2.3 + t^2.55 + t^2.63 + t^2.88 + t^3.12 + t^3.7 + t^4.03 + t^4.27 + t^4.52 + t^4.6 + 2*t^4.85 + t^4.93 + t^5.09 + 2*t^5.18 + t^5.26 + 2*t^5.42 + t^5.51 + t^5.67 + t^5.75 - t^3.58/y - t^4.73/y - t^5.88/y - t^3.58*y - t^4.73*y - t^5.88*y | detail |