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 |
|---|---|---|---|---|---|---|---|---|---|
| 3666 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6247 | 0.8113 | 0.77 | [X:[], M:[1.0, 1.0138, 0.9724, 0.7396, 0.7258, 1.0276], q:[0.7535, 0.2465], qb:[0.5069, 0.5207], phi:[0.4931]] | [X:[], M:[[0], [4], [-8], [-3], [-7], [8]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2^2$, $ M_1M_5$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4M_6$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2^4$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1^2$ | 0 | t^2.18 + t^2.22 + t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.74 + t^3.78 + t^4.35 + t^4.4 + 2*t^4.44 + 2*t^4.48 + 3*t^4.52 + 2*t^4.56 + 2*t^4.6 + t^5.14 + t^5.18 + 2*t^5.22 + 4*t^5.26 + 3*t^5.3 + 2*t^5.34 + t^5.38 + 2*t^5.92 + t^5.96 + 2*t^6.04 + 2*t^6.08 + t^6.12 + t^6.17 + t^6.53 + t^6.57 + 2*t^6.62 + 2*t^6.66 + 3*t^6.7 + 4*t^6.74 + 4*t^6.78 + 4*t^6.82 + 3*t^6.86 + 2*t^6.91 + t^7.31 + t^7.35 + 2*t^7.4 + 3*t^7.44 + 4*t^7.48 + 4*t^7.52 + 6*t^7.56 + 5*t^7.6 + 3*t^7.65 + 2*t^7.69 + 2*t^8.09 + t^8.14 - t^8.18 + t^8.3 + 4*t^8.34 + 4*t^8.38 + 2*t^8.43 + t^8.47 + t^8.71 + t^8.75 + 2*t^8.79 + 2*t^8.83 + 5*t^8.88 + 3*t^8.92 + 2*t^8.96 - t^4.48/y - t^6.66/y - t^6.7/y + t^7.4/y + t^7.44/y + (2*t^7.48)/y + t^7.52/y + t^7.56/y + t^8.14/y + (2*t^8.18)/y + (3*t^8.22)/y + (5*t^8.26)/y + (4*t^8.3)/y + (2*t^8.34)/y + t^8.38/y - t^8.83/y - t^8.88/y + (3*t^8.96)/y - t^4.48*y - t^6.66*y - t^6.7*y + t^7.4*y + t^7.44*y + 2*t^7.48*y + t^7.52*y + t^7.56*y + t^8.14*y + 2*t^8.18*y + 3*t^8.22*y + 5*t^8.26*y + 4*t^8.3*y + 2*t^8.34*y + t^8.38*y - t^8.83*y - t^8.88*y + 3*t^8.96*y | t^2.18/g1^7 + t^2.22/g1^3 + g1*t^2.26 + g1^5*t^2.3 + t^2.96/g1^4 + t^3. + g1^4*t^3.04 + g1^8*t^3.08 + t^3.74/g1 + g1^3*t^3.78 + t^4.35/g1^14 + t^4.4/g1^10 + (2*t^4.44)/g1^6 + (2*t^4.48)/g1^2 + 3*g1^2*t^4.52 + 2*g1^6*t^4.56 + 2*g1^10*t^4.6 + t^5.14/g1^11 + t^5.18/g1^7 + (2*t^5.22)/g1^3 + 4*g1*t^5.26 + 3*g1^5*t^5.3 + 2*g1^9*t^5.34 + g1^13*t^5.38 + (2*t^5.92)/g1^8 + t^5.96/g1^4 + 2*g1^4*t^6.04 + 2*g1^8*t^6.08 + g1^12*t^6.12 + g1^16*t^6.17 + t^6.53/g1^21 + t^6.57/g1^17 + (2*t^6.62)/g1^13 + (2*t^6.66)/g1^9 + (3*t^6.7)/g1^5 + (4*t^6.74)/g1 + 4*g1^3*t^6.78 + 4*g1^7*t^6.82 + 3*g1^11*t^6.86 + 2*g1^15*t^6.91 + t^7.31/g1^18 + t^7.35/g1^14 + (2*t^7.4)/g1^10 + (3*t^7.44)/g1^6 + (4*t^7.48)/g1^2 + 4*g1^2*t^7.52 + 6*g1^6*t^7.56 + 5*g1^10*t^7.6 + 3*g1^14*t^7.65 + 2*g1^18*t^7.69 + (2*t^8.09)/g1^15 + t^8.14/g1^11 - t^8.18/g1^7 + g1^5*t^8.3 + 4*g1^9*t^8.34 + 4*g1^13*t^8.38 + 2*g1^17*t^8.43 + g1^21*t^8.47 + t^8.71/g1^28 + t^8.75/g1^24 + (2*t^8.79)/g1^20 + (2*t^8.83)/g1^16 + (5*t^8.88)/g1^12 + (3*t^8.92)/g1^8 + (2*t^8.96)/g1^4 - t^4.48/(g1^2*y) - t^6.66/(g1^9*y) - t^6.7/(g1^5*y) + t^7.4/(g1^10*y) + t^7.44/(g1^6*y) + (2*t^7.48)/(g1^2*y) + (g1^2*t^7.52)/y + (g1^6*t^7.56)/y + t^8.14/(g1^11*y) + (2*t^8.18)/(g1^7*y) + (3*t^8.22)/(g1^3*y) + (5*g1*t^8.26)/y + (4*g1^5*t^8.3)/y + (2*g1^9*t^8.34)/y + (g1^13*t^8.38)/y - t^8.83/(g1^16*y) - t^8.88/(g1^12*y) + (3*t^8.96)/(g1^4*y) - (t^4.48*y)/g1^2 - (t^6.66*y)/g1^9 - (t^6.7*y)/g1^5 + (t^7.4*y)/g1^10 + (t^7.44*y)/g1^6 + (2*t^7.48*y)/g1^2 + g1^2*t^7.52*y + g1^6*t^7.56*y + (t^8.14*y)/g1^11 + (2*t^8.18*y)/g1^7 + (3*t^8.22*y)/g1^3 + 5*g1*t^8.26*y + 4*g1^5*t^8.3*y + 2*g1^9*t^8.34*y + g1^13*t^8.38*y - (t^8.83*y)/g1^16 - (t^8.88*y)/g1^12 + (3*t^8.96*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3936 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[1.0, 1.0179, 0.9643, 0.7366, 0.7187, 1.0357, 0.7366], q:[0.7545, 0.2455], qb:[0.5089, 0.5268], phi:[0.4911]] | t^2.16 + 2*t^2.21 + t^2.26 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + 2*t^4.37 + 4*t^4.42 + 3*t^4.47 + 4*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + 2*t^5.16 + 3*t^5.21 + 5*t^5.26 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3245 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6298 | 0.8198 | 0.7682 | [X:[], M:[1.0, 1.0409, 0.9182, 0.7193, 0.6784], q:[0.7602, 0.2398], qb:[0.5205, 0.5614], phi:[0.4795]] | t^2.04 + t^2.16 + t^2.28 + t^2.4 + t^2.75 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^4.07 + t^4.19 + 2*t^4.32 + 2*t^4.44 + 3*t^4.56 + 2*t^4.68 + t^4.79 + 2*t^4.81 + 2*t^4.91 + 2*t^5.04 + 3*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.63 + 3*t^5.75 + 2*t^5.88 - t^4.44/y - t^4.44*y | detail |