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 |
|---|---|---|---|---|---|---|---|---|---|
| 8766 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ | 1.0985 | 1.2223 | 0.8988 | [X:[1.592], M:[1.224, 1.184, 0.856, 1.02], q:[0.306, 0.47], qb:[], phi:[0.204]] | [X:[[4]], M:[[-12], [8], [-28], [-10]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ \phi_1^8$, $ M_3\phi_1^4$, $ M_3^2$, $ M_3M_4$ | $\phi_1^6q_1q_2$ | 0 | t^2.45 + t^2.57 + t^3.06 + 2*t^3.55 + 2*t^3.67 + t^4.16 + t^4.66 + t^4.78 + t^4.9 + t^5.02 + t^5.14 + t^5.63 + 4*t^6.12 + 2*t^6.24 - t^6.49 + 2*t^6.61 + 2*t^6.73 + 2*t^7.1 + 5*t^7.22 + 4*t^7.34 + t^7.46 + t^7.58 + t^7.7 + t^7.72 + 2*t^7.84 + t^8.2 + t^8.21 + 2*t^8.33 + 2*t^8.45 + t^8.57 + 4*t^8.69 + 2*t^8.81 + t^8.82 - t^8.94 + t^8.45/y^2 - t^3.61/y - t^4.84/y - t^6.06/y - t^6.18/y - t^6.67/y - t^7.16/y - (2*t^7.28)/y - t^7.4/y - t^7.9/y + t^8.02/y - t^8.39/y - t^8.51/y - t^8.75/y - t^3.61*y - t^4.84*y - t^6.06*y - t^6.18*y - t^6.67*y - t^7.16*y - 2*t^7.28*y - t^7.4*y - t^7.9*y + t^8.02*y - t^8.39*y - t^8.51*y - t^8.75*y + t^8.45*y^2 | t^2.45/g1^8 + t^2.57/g1^28 + t^3.06/g1^10 + 2*g1^8*t^3.55 + (2*t^3.67)/g1^12 + g1^6*t^4.16 + g1^24*t^4.66 + g1^4*t^4.78 + t^4.9/g1^16 + t^5.02/g1^36 + t^5.14/g1^56 + t^5.63/g1^38 + (4*t^6.12)/g1^20 + (2*t^6.24)/g1^40 - g1^18*t^6.49 + (2*t^6.61)/g1^2 + (2*t^6.73)/g1^22 + 2*g1^16*t^7.1 + (5*t^7.22)/g1^4 + (4*t^7.34)/g1^24 + t^7.46/g1^44 + t^7.58/g1^64 + t^7.7/g1^84 + g1^14*t^7.72 + (2*t^7.84)/g1^6 + t^8.2/g1^66 + g1^32*t^8.21 + 2*g1^12*t^8.33 + (2*t^8.45)/g1^8 + t^8.57/g1^28 + (4*t^8.69)/g1^48 + (2*t^8.81)/g1^68 + g1^30*t^8.82 - g1^10*t^8.94 + t^8.45/(g1^8*y^2) - t^3.61/(g1^2*y) - t^4.84/(g1^6*y) - t^6.06/(g1^10*y) - t^6.18/(g1^30*y) - t^6.67/(g1^12*y) - (g1^6*t^7.16)/y - (2*t^7.28)/(g1^14*y) - t^7.4/(g1^34*y) - t^7.9/(g1^16*y) + t^8.02/(g1^36*y) - (g1^2*t^8.39)/y - t^8.51/(g1^18*y) - t^8.75/(g1^58*y) - (t^3.61*y)/g1^2 - (t^4.84*y)/g1^6 - (t^6.06*y)/g1^10 - (t^6.18*y)/g1^30 - (t^6.67*y)/g1^12 - g1^6*t^7.16*y - (2*t^7.28*y)/g1^14 - (t^7.4*y)/g1^34 - (t^7.9*y)/g1^16 + (t^8.02*y)/g1^36 - g1^2*t^8.39*y - (t^8.51*y)/g1^18 - (t^8.75*y)/g1^58 + (t^8.45*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8878 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ + $ M_2M_5$ | 1.1142 | 1.25 | 0.8913 | [X:[1.594], M:[1.2179, 1.1881, 0.8417, 1.0149, 0.8119], q:[0.3045, 0.4776], qb:[], phi:[0.203]] | 2*t^2.44 + t^2.53 + t^3.04 + t^3.56 + 2*t^3.65 + t^4.17 + t^4.69 + t^4.78 + 3*t^4.87 + 2*t^4.96 + t^5.05 + t^5.48 + t^5.57 - t^3.61/y - t^4.83/y - t^3.61*y - t^4.83*y | detail | |
| 8875 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ | 1.0933 | 1.215 | 0.8998 | [X:[1.5789], M:[1.2632, 1.1579, 0.9474, 1.0526], q:[0.3158, 0.4211], qb:[], phi:[0.2105]] | t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.37 + t^5.68 + t^6. - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 6315/5776, c: 3509/2888, X1: 30/19, M1: 24/19, M2: 22/19, M3: 18/19, M4: 20/19, q1: 6/19, q2: 8/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8597 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1008 | 1.2258 | 0.898 | [X:[1.5882], M:[1.2353, 1.1765, 0.8824], q:[0.3088, 0.4559], qb:[], phi:[0.2059]] | t^2.47 + t^2.65 + t^2.91 + 2*t^3.53 + 2*t^3.71 + t^4.15 + t^4.59 + t^4.76 + t^4.94 + t^5.12 + t^5.29 + t^5.38 + t^5.82 - t^3.62/y - t^4.85/y - t^3.62*y - t^4.85*y | detail | {a: 20361/18496, c: 22673/18496, X1: 27/17, M1: 21/17, M2: 20/17, M3: 15/17, q1: 21/68, q2: 31/68, phi1: 7/34} |