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 |
|---|---|---|---|---|---|---|---|---|---|
| 8610 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.0886 | 1.2063 | 0.9025 | [X:[1.5817], M:[1.2548, 1.1634, 1.0457], q:[0.3137, 0.4315], qb:[], phi:[0.2091]] | [X:[[4]], M:[[-12], [8], [-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$, $ \phi_1q_2^2$, $ 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$, $ \phi_1^5q_2^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.51 + t^3.14 + t^3.22 + 2*t^3.49 + 2*t^3.76 + t^4.12 + t^4.47 + t^4.75 + t^5.02 + t^5.73 + 2*t^6.27 + t^6.43 + 2*t^6.63 + 2*t^6.71 + t^6.9 + 4*t^6.98 + 4*t^7.25 + t^7.33 + 3*t^7.53 + t^7.61 + t^7.69 + 2*t^7.88 + 2*t^7.96 + 3*t^8.24 + 2*t^8.51 + t^8.59 + t^8.78 - t^8.86 + 2*t^8.94 + t^8.51/y^2 - t^3.63/y - t^4.88/y - t^6.14/y - t^6.76/y - t^6.84/y - t^7.12/y - (2*t^7.39)/y - t^8.02/y - t^8.1/y - t^8.37/y - t^8.65/y + t^8.73/y - t^3.63*y - t^4.88*y - t^6.14*y - t^6.76*y - t^6.84*y - t^7.12*y - 2*t^7.39*y - t^8.02*y - t^8.1*y - t^8.37*y - t^8.65*y + t^8.73*y + t^8.51*y^2 | t^2.51/g1^8 + t^3.14/g1^10 + g1^28*t^3.22 + 2*g1^8*t^3.49 + (2*t^3.76)/g1^12 + g1^6*t^4.12 + g1^24*t^4.47 + g1^4*t^4.75 + t^5.02/g1^16 + g1^20*t^5.73 + (2*t^6.27)/g1^20 + g1^56*t^6.43 + (2*t^6.63)/g1^2 + 2*g1^36*t^6.71 + t^6.9/g1^22 + 4*g1^16*t^6.98 + (4*t^7.25)/g1^4 + g1^34*t^7.33 + (3*t^7.53)/g1^24 + g1^14*t^7.61 + g1^52*t^7.69 + (2*t^7.88)/g1^6 + 2*g1^32*t^7.96 + 3*g1^12*t^8.24 + (2*t^8.51)/g1^8 + g1^30*t^8.59 + t^8.78/g1^28 - g1^10*t^8.86 + 2*g1^48*t^8.94 + t^8.51/(g1^8*y^2) - t^3.63/(g1^2*y) - t^4.88/(g1^6*y) - t^6.14/(g1^10*y) - t^6.76/(g1^12*y) - (g1^26*t^6.84)/y - (g1^6*t^7.12)/y - (2*t^7.39)/(g1^14*y) - t^8.02/(g1^16*y) - (g1^22*t^8.1)/y - (g1^2*t^8.37)/y - t^8.65/(g1^18*y) + (g1^20*t^8.73)/y - (t^3.63*y)/g1^2 - (t^4.88*y)/g1^6 - (t^6.14*y)/g1^10 - (t^6.76*y)/g1^12 - g1^26*t^6.84*y - g1^6*t^7.12*y - (2*t^7.39*y)/g1^14 - (t^8.02*y)/g1^16 - g1^22*t^8.1*y - g1^2*t^8.37*y - (t^8.65*y)/g1^18 + g1^20*t^8.73*y + (t^8.51*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 |
|---|---|---|---|---|---|---|---|---|
| 8789 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ M_2M_4$ | 1.1029 | 1.2304 | 0.8964 | [X:[1.5844], M:[1.2469, 1.1687, 1.0391, 0.8313], q:[0.3117, 0.4413], qb:[], phi:[0.2078]] | 2*t^2.49 + t^3.12 + t^3.27 + t^3.51 + 2*t^3.74 + t^4.13 + t^4.52 + t^4.75 + 3*t^4.99 + t^5.61 + 2*t^5.77 - t^3.62/y - t^4.87/y - t^3.62*y - t^4.87*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8438 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1738 | 1.3011 | 0.9021 | [X:[1.6588], M:[1.0235, 0.8153, 0.8529], q:[0.5071, 0.4695], qb:[], phi:[0.1706]] | t^2.05 + t^2.45 + t^2.56 + t^3.07 + t^3.33 + t^3.95 + t^4.09 + t^4.35 + t^4.46 + t^4.49 + t^4.58 + t^4.61 + t^4.89 + t^4.98 + t^5. + 2*t^5.12 + t^5.38 + t^5.52 + t^5.63 + t^5.77 - t^6. - t^3.51/y - t^4.54/y - t^5.56/y - t^5.96/y - t^3.51*y - t^4.54*y - t^5.56*y - t^5.96*y | detail |