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 |
|---|---|---|---|---|---|---|---|---|---|
| 8771 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ | 1.1777 | 1.3199 | 0.8923 | [X:[1.6373], M:[1.0881, 0.8135, 0.7254, 1.0], q:[0.5026, 0.4093], qb:[], phi:[0.1813]] | [X:[[4]], M:[[-12], [-20], [-8], [0]], q:[[11], [1]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^4$, $ M_2$, $ M_4$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^3q_2^2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_2M_3$, $ M_2\phi_1^4$, $ \phi_1^3q_1^2$, $ M_2^2$, $ X_1$, $ M_3M_4$, $ M_4\phi_1^4$, $ M_1M_3$, $ M_2M_4$, $ M_1\phi_1^4$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_1M_2$ | . | -1 | 2*t^2.18 + t^2.44 + t^3. + t^3.26 + t^3.28 + t^4.09 + 3*t^4.35 + t^4.37 + 2*t^4.62 + t^4.65 + t^4.88 + t^4.91 + 2*t^5.18 + 3*t^5.44 + 2*t^5.46 + t^5.7 - t^6. + 2*t^6.26 + 6*t^6.53 + 2*t^6.54 + t^6.56 + 3*t^6.79 + t^6.82 + 2*t^7.06 + 3*t^7.09 + t^7.32 + 4*t^7.35 + t^7.37 + 5*t^7.62 + 3*t^7.63 + t^7.65 + 3*t^7.88 + t^7.93 + t^8.15 + t^8.18 + 2*t^8.44 + t^8.46 - t^8.47 + 9*t^8.7 - t^8.72 + 2*t^8.74 + 6*t^8.97 - 2*t^8.98 + t^8.18/y^2 - (2*t^8.72)/y^2 - t^8.98/y^2 - t^3.54/y - t^4.63/y - (2*t^5.72)/y - t^5.98/y - t^6.54/y - (3*t^6.81)/y - t^6.82/y - t^7.07/y + t^7.35/y + t^7.37/y + (2*t^7.62)/y - t^7.63/y - (4*t^7.9)/y - t^7.91/y - (2*t^8.16)/y + (2*t^8.18)/y - t^8.42/y + (3*t^8.44)/y + (3*t^8.46)/y + t^8.7/y - t^8.72/y - (6*t^8.98)/y - t^3.54*y - t^4.63*y - 2*t^5.72*y - t^5.98*y - t^6.54*y - 3*t^6.81*y - t^6.82*y - t^7.07*y + t^7.35*y + t^7.37*y + 2*t^7.62*y - t^7.63*y - 4*t^7.9*y - t^7.91*y - 2*t^8.16*y + 2*t^8.18*y - t^8.42*y + 3*t^8.44*y + 3*t^8.46*y + t^8.7*y - t^8.72*y - 6*t^8.98*y + t^8.18*y^2 - 2*t^8.72*y^2 - t^8.98*y^2 | (2*t^2.18)/g1^8 + t^2.44/g1^20 + t^3. + t^3.26/g1^12 + g1^10*t^3.28 + t^4.09/g1^4 + (3*t^4.35)/g1^16 + g1^6*t^4.37 + (2*t^4.62)/g1^28 + g1^16*t^4.65 + t^4.88/g1^40 + g1^4*t^4.91 + (2*t^5.18)/g1^8 + (3*t^5.44)/g1^20 + 2*g1^2*t^5.46 + t^5.7/g1^32 - t^6. + (2*t^6.26)/g1^12 + (6*t^6.53)/g1^24 + (2*t^6.54)/g1^2 + g1^20*t^6.56 + (3*t^6.79)/g1^36 + g1^8*t^6.82 + (2*t^7.06)/g1^48 + (3*t^7.09)/g1^4 + t^7.32/g1^60 + (4*t^7.35)/g1^16 + g1^6*t^7.37 + (5*t^7.62)/g1^28 + (3*t^7.63)/g1^6 + g1^16*t^7.65 + (3*t^7.88)/g1^40 + g1^26*t^7.93 + t^8.15/g1^52 + t^8.18/g1^8 + (2*t^8.44)/g1^20 + g1^2*t^8.46 - g1^24*t^8.47 + (9*t^8.7)/g1^32 - t^8.72/g1^10 + 2*g1^12*t^8.74 + (6*t^8.97)/g1^44 - (2*t^8.98)/g1^22 + t^8.18/(g1^8*y^2) - (2*t^8.72)/(g1^10*y^2) - t^8.98/(g1^22*y^2) - t^3.54/(g1^2*y) - t^4.63/(g1^6*y) - (2*t^5.72)/(g1^10*y) - t^5.98/(g1^22*y) - t^6.54/(g1^2*y) - (3*t^6.81)/(g1^14*y) - (g1^8*t^6.82)/y - t^7.07/(g1^26*y) + t^7.35/(g1^16*y) + (g1^6*t^7.37)/y + (2*t^7.62)/(g1^28*y) - t^7.63/(g1^6*y) - (4*t^7.9)/(g1^18*y) - (g1^4*t^7.91)/y - (2*t^8.16)/(g1^30*y) + (2*t^8.18)/(g1^8*y) - t^8.42/(g1^42*y) + (3*t^8.44)/(g1^20*y) + (3*g1^2*t^8.46)/y + t^8.7/(g1^32*y) - t^8.72/(g1^10*y) - (6*t^8.98)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.63*y)/g1^6 - (2*t^5.72*y)/g1^10 - (t^5.98*y)/g1^22 - (t^6.54*y)/g1^2 - (3*t^6.81*y)/g1^14 - g1^8*t^6.82*y - (t^7.07*y)/g1^26 + (t^7.35*y)/g1^16 + g1^6*t^7.37*y + (2*t^7.62*y)/g1^28 - (t^7.63*y)/g1^6 - (4*t^7.9*y)/g1^18 - g1^4*t^7.91*y - (2*t^8.16*y)/g1^30 + (2*t^8.18*y)/g1^8 - (t^8.42*y)/g1^42 + (3*t^8.44*y)/g1^20 + 3*g1^2*t^8.46*y + (t^8.7*y)/g1^32 - (t^8.72*y)/g1^10 - (6*t^8.98*y)/g1^22 + (t^8.18*y^2)/g1^8 - (2*t^8.72*y^2)/g1^10 - (t^8.98*y^2)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8882 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ + $ M_5\phi_1q_1q_2$ | 1.1868 | 1.3364 | 0.8881 | [X:[1.643], M:[1.071, 0.7849, 0.714, 1.0, 0.8925], q:[0.5183, 0.4108], qb:[], phi:[0.1785]] | 2*t^2.14 + t^2.35 + t^2.68 + t^3. + t^3.21 + t^4.07 + 3*t^4.28 + t^4.39 + 2*t^4.5 + t^4.71 + t^4.72 + 2*t^4.82 + t^4.93 + t^5.03 + 2*t^5.14 + 4*t^5.35 + t^5.57 + t^5.89 - t^6. - t^3.54/y - t^4.61/y - (2*t^5.68)/y - t^5.89/y - t^3.54*y - t^4.61*y - 2*t^5.68*y - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8600 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ | 1.1931 | 1.3382 | 0.8916 | [X:[1.6606], M:[1.0182, 0.8485, 0.6788, 0.8485], q:[0.4909, 0.4909], qb:[], phi:[0.1697]] | 2*t^2.04 + 2*t^2.55 + t^3.05 + t^3.45 + 3*t^4.07 + 3*t^4.47 + 4*t^4.58 + t^4.98 + 5*t^5.09 + 2*t^5.49 + 2*t^5.6 - 2*t^6. - t^3.51/y - t^4.53/y - (2*t^5.55)/y - t^3.51*y - t^4.53*y - 2*t^5.55*y | detail |