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 |
|---|---|---|---|---|---|---|---|---|---|
| 1426 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ | 0.6957 | 0.8524 | 0.8162 | [X:[], M:[0.9559, 1.0147, 1.0441, 0.9265, 1.0, 1.0147], q:[0.5, 0.5441], qb:[0.4559, 0.5294], phi:[0.4927]] | [X:[], M:[[-6], [2], [6], [-10], [0], [2]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_2M_4$, $ M_4M_6$, $ M_1M_2$, $ M_3M_4$, $ M_1M_6$ | . | -2 | t^2.78 + t^2.87 + t^3. + 2*t^3.04 + t^3.09 + t^3.13 + t^4.21 + t^4.35 + t^4.43 + 2*t^4.48 + t^4.57 + t^4.61 + t^4.65 + t^4.7 + t^4.74 + t^5.56 + t^5.65 + 2*t^5.82 + 2*t^5.91 - 2*t^6. + t^6.04 + 2*t^6.09 + t^6.13 + 3*t^6.18 + t^6.99 + t^7.08 + t^7.13 + 2*t^7.21 + 2*t^7.26 + t^7.3 + 2*t^7.35 + t^7.39 + t^7.43 + 2*t^7.48 + 3*t^7.52 + t^7.57 + 2*t^7.61 + 2*t^7.65 + t^7.7 + 3*t^7.74 + 2*t^7.79 + t^7.83 + t^7.87 + t^8.34 + 2*t^8.43 + t^8.56 + 2*t^8.6 + 4*t^8.69 - t^8.74 - 2*t^8.78 + 2*t^8.82 - t^8.87 + 4*t^8.96 - t^4.48/y - t^7.26/y + t^7.43/y - t^7.52/y + t^7.7/y + t^8.65/y + t^8.78/y + (2*t^8.82)/y + (2*t^8.87)/y + (3*t^8.91)/y + t^8.96/y - t^4.48*y - t^7.26*y + t^7.43*y - t^7.52*y + t^7.7*y + t^8.65*y + t^8.78*y + 2*t^8.82*y + 2*t^8.87*y + 3*t^8.91*y + t^8.96*y | t^2.78/g1^10 + t^2.87/g1^6 + t^3. + 2*g1^2*t^3.04 + g1^4*t^3.09 + g1^6*t^3.13 + t^4.21/g1^13 + t^4.35/g1^7 + t^4.43/g1^3 + (2*t^4.48)/g1 + g1^3*t^4.57 + g1^5*t^4.61 + g1^7*t^4.65 + g1^9*t^4.7 + g1^11*t^4.74 + t^5.56/g1^20 + t^5.65/g1^16 + (2*t^5.82)/g1^8 + (2*t^5.91)/g1^4 - 2*t^6. + g1^2*t^6.04 + 2*g1^4*t^6.09 + g1^6*t^6.13 + 3*g1^8*t^6.18 + t^6.99/g1^23 + t^7.08/g1^19 + t^7.13/g1^17 + (2*t^7.21)/g1^13 + (2*t^7.26)/g1^11 + t^7.3/g1^9 + (2*t^7.35)/g1^7 + t^7.39/g1^5 + t^7.43/g1^3 + (2*t^7.48)/g1 + 3*g1*t^7.52 + g1^3*t^7.57 + 2*g1^5*t^7.61 + 2*g1^7*t^7.65 + g1^9*t^7.7 + 3*g1^11*t^7.74 + 2*g1^13*t^7.79 + g1^15*t^7.83 + g1^17*t^7.87 + t^8.34/g1^30 + (2*t^8.43)/g1^26 + t^8.56/g1^20 + (2*t^8.6)/g1^18 + (4*t^8.69)/g1^14 - t^8.74/g1^12 - (2*t^8.78)/g1^10 + (2*t^8.82)/g1^8 - t^8.87/g1^6 + (4*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.26/(g1^11*y) + t^7.43/(g1^3*y) - (g1*t^7.52)/y + (g1^9*t^7.7)/y + t^8.65/(g1^16*y) + t^8.78/(g1^10*y) + (2*t^8.82)/(g1^8*y) + (2*t^8.87)/(g1^6*y) + (3*t^8.91)/(g1^4*y) + t^8.96/(g1^2*y) - (t^4.48*y)/g1 - (t^7.26*y)/g1^11 + (t^7.43*y)/g1^3 - g1*t^7.52*y + g1^9*t^7.7*y + (t^8.65*y)/g1^16 + (t^8.78*y)/g1^10 + (2*t^8.82*y)/g1^8 + (2*t^8.87*y)/g1^6 + (3*t^8.91*y)/g1^4 + (t^8.96*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2490 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.7007 | 0.8616 | 0.8132 | [X:[], M:[0.9361, 1.0213, 1.0639, 0.8935, 1.0, 1.0213, 0.9361], q:[0.5, 0.5639], qb:[0.4361, 0.5426], phi:[0.4894]] | t^2.68 + 2*t^2.81 + t^3. + 2*t^3.06 + t^3.13 + t^4.08 + t^4.28 + t^4.4 + 2*t^4.47 + t^4.6 + t^4.66 + t^4.72 + t^4.79 + t^4.85 + t^5.36 + 2*t^5.49 + 2*t^5.62 + 2*t^5.74 + t^5.81 + 3*t^5.87 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 930 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ | 0.6972 | 0.855 | 0.8154 | [X:[], M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.75 + t^2.85 + t^2.95 + t^3. + t^3.05 + t^3.1 + t^3.15 + t^4.17 + t^4.32 + t^4.42 + 2*t^4.47 + t^4.58 + t^4.63 + t^4.68 + t^4.73 + t^4.78 + t^5.49 + t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |