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 |
|---|---|---|---|---|---|---|---|---|---|
| 8646 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ | 1.122 | 1.2656 | 0.8865 | [X:[1.5822], M:[1.1643, 1.0446, 0.8357], q:[0.3134, 0.4331], qb:[], phi:[0.2089]] | [X:[[4]], M:[[8], [-10], [-8]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_3$, $ \phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ M_2q_1q_2$, $ \phi_1q_1q_2^3$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_1^2q_2^2$ | $M_3\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$, $ \phi_1^3q_1^3q_2$ | 1 | t^2.24 + 2*t^2.51 + t^3.13 + t^3.23 + t^3.49 + t^3.76 + t^4.12 + 2*t^4.48 + 3*t^4.75 + 3*t^5.01 + t^5.37 + t^5.46 + t^5.64 + 3*t^5.73 + t^6. + 2*t^6.27 + t^6.36 + t^6.45 + 2*t^6.63 + 3*t^6.72 + 5*t^6.99 + 5*t^7.25 + t^7.35 + 4*t^7.52 + t^7.61 + 2*t^7.7 + 2*t^7.88 + 4*t^7.97 + t^8.15 + 4*t^8.24 + 2*t^8.51 + 2*t^8.6 + t^8.69 + 2*t^8.77 - t^8.87 + 6*t^8.96 + t^8.51/y^2 - t^8.87/y^2 - t^3.63/y - t^4.88/y - t^5.87/y - (2*t^6.13)/y - t^6.76/y - t^6.85/y - t^7.12/y - (2*t^7.39)/y + (2*t^7.75)/y - (2*t^8.11)/y - t^8.37/y + t^8.46/y - t^8.64/y + (3*t^8.73)/y - t^3.63*y - t^4.88*y - t^5.87*y - 2*t^6.13*y - t^6.76*y - t^6.85*y - t^7.12*y - 2*t^7.39*y + 2*t^7.75*y - 2*t^8.11*y - t^8.37*y + t^8.46*y - t^8.64*y + 3*t^8.73*y + t^8.51*y^2 - t^8.87*y^2 | g1^12*t^2.24 + (2*t^2.51)/g1^8 + t^3.13/g1^10 + g1^28*t^3.23 + g1^8*t^3.49 + t^3.76/g1^12 + g1^6*t^4.12 + 2*g1^24*t^4.48 + 3*g1^4*t^4.75 + (3*t^5.01)/g1^16 + g1^2*t^5.37 + g1^40*t^5.46 + t^5.64/g1^18 + 3*g1^20*t^5.73 + t^6. + (2*t^6.27)/g1^20 + g1^18*t^6.36 + g1^56*t^6.45 + (2*t^6.63)/g1^2 + 3*g1^36*t^6.72 + 5*g1^16*t^6.99 + (5*t^7.25)/g1^4 + g1^34*t^7.35 + (4*t^7.52)/g1^24 + g1^14*t^7.61 + 2*g1^52*t^7.7 + (2*t^7.88)/g1^6 + 4*g1^32*t^7.97 + t^8.15/g1^26 + 4*g1^12*t^8.24 + (2*t^8.51)/g1^8 + 2*g1^30*t^8.6 + g1^68*t^8.69 + (2*t^8.77)/g1^28 - g1^10*t^8.87 + 6*g1^48*t^8.96 + t^8.51/(g1^8*y^2) - (g1^10*t^8.87)/y^2 - t^3.63/(g1^2*y) - t^4.88/(g1^6*y) - (g1^10*t^5.87)/y - (2*t^6.13)/(g1^10*y) - t^6.76/(g1^12*y) - (g1^26*t^6.85)/y - (g1^6*t^7.12)/y - (2*t^7.39)/(g1^14*y) + (2*g1^4*t^7.75)/y - (2*g1^22*t^8.11)/y - (g1^2*t^8.37)/y + (g1^40*t^8.46)/y - t^8.64/(g1^18*y) + (3*g1^20*t^8.73)/y - (t^3.63*y)/g1^2 - (t^4.88*y)/g1^6 - g1^10*t^5.87*y - (2*t^6.13*y)/g1^10 - (t^6.76*y)/g1^12 - g1^26*t^6.85*y - g1^6*t^7.12*y - (2*t^7.39*y)/g1^14 + 2*g1^4*t^7.75*y - 2*g1^22*t^8.11*y - g1^2*t^8.37*y + g1^40*t^8.46*y - (t^8.64*y)/g1^18 + 3*g1^20*t^8.73*y + (t^8.51*y^2)/g1^8 - g1^10*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 8821 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1363 | 1.2897 | 0.8811 | [X:[1.5846], M:[1.1691, 1.0386, 0.8309, 0.8309], q:[0.3116, 0.4421], qb:[], phi:[0.2077]] | t^2.26 + 3*t^2.49 + t^3.12 + t^3.28 + t^3.74 + t^4.13 + 2*t^4.52 + 4*t^4.75 + 6*t^4.99 + t^5.38 + t^5.54 + 2*t^5.61 + 3*t^5.77 - t^6. - t^3.62/y - t^4.87/y - t^5.88/y - t^3.62*y - t^4.87*y - t^5.88*y | detail | |
| 8823 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ + $ M_4\phi_1^3q_1^2$ | 1.1413 | 1.3017 | 0.8767 | [X:[1.5803], M:[1.1605, 1.0493, 0.8395, 0.7408], q:[0.3148, 0.426], qb:[], phi:[0.2099]] | 2*t^2.22 + 2*t^2.52 + t^3.15 + t^3.19 + t^3.48 + t^4.11 + 4*t^4.44 + 5*t^4.74 + 3*t^5.04 + 2*t^5.37 + 2*t^5.41 + t^5.67 + 4*t^5.7 - t^3.63/y - t^4.89/y - (2*t^5.85)/y - t^3.63*y - t^4.89*y - 2*t^5.85*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8473 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ | 1.108 | 1.2425 | 0.8917 | [X:[1.5797], M:[1.1594, 1.0508], q:[0.3152, 0.4239], qb:[], phi:[0.2102]] | t^2.22 + t^2.52 + t^3.15 + t^3.17 + 2*t^3.48 + t^3.78 + t^4.11 + 2*t^4.43 + 2*t^4.74 + t^5.04 + t^5.37 + t^5.39 + 3*t^5.7 + t^6. - t^3.63/y - t^4.89/y - t^5.85/y - t^3.63*y - t^4.89*y - t^5.85*y | detail |