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 |
|---|---|---|---|---|---|---|---|---|---|
| 55542 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ | 0.6101 | 0.7813 | 0.7809 | [X:[], M:[1.0, 0.9106, 0.6941, 1.0447, 0.7388, 1.2612], q:[0.7612, 0.2388], qb:[0.5447, 0.5447], phi:[0.4776]] | [X:[], M:[[0], [-8], [-5], [4], [-1], [1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \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_2M_3$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_2$ | $M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | -3 | t^2.08 + 2*t^2.35 + t^2.73 + t^2.87 + t^3. + t^3.13 + 2*t^3.78 + t^3.92 + t^4.16 + 2*t^4.43 + 6*t^4.7 + t^4.81 + t^4.95 + t^5.08 + 3*t^5.22 + 2*t^5.35 + t^5.46 + 2*t^5.48 + t^5.6 + 2*t^5.73 + 3*t^5.87 - 3*t^6. + 4*t^6.13 + t^6.25 + 2*t^6.27 + 2*t^6.52 + t^6.65 + 5*t^6.78 + t^6.9 - t^6.92 + t^7.03 + 9*t^7.05 + t^7.16 + 3*t^7.3 + t^7.55 + 6*t^7.57 + t^7.68 + 4*t^7.7 + 2*t^7.81 + 4*t^7.84 + 3*t^7.95 - t^8.08 + t^8.2 + 4*t^8.22 + 2*t^8.33 - 8*t^8.35 + 2*t^8.46 + 8*t^8.48 + 4*t^8.6 + 4*t^8.62 + t^8.98 - t^4.43/y - t^6.52/y - t^7.16/y + (2*t^7.43)/y + (2*t^7.7)/y + t^7.81/y + t^7.95/y + (3*t^8.08)/y + (3*t^8.22)/y + (3*t^8.35)/y + (2*t^8.48)/y + t^8.73/y + (4*t^8.87)/y - t^4.43*y - t^6.52*y - t^7.16*y + 2*t^7.43*y + 2*t^7.7*y + t^7.81*y + t^7.95*y + 3*t^8.08*y + 3*t^8.22*y + 3*t^8.35*y + 2*t^8.48*y + t^8.73*y + 4*t^8.87*y | t^2.08/g1^5 + 2*g1^3*t^2.35 + t^2.73/g1^8 + t^2.87/g1^4 + t^3. + g1^4*t^3.13 + 2*g1*t^3.78 + g1^5*t^3.92 + t^4.16/g1^10 + (2*t^4.43)/g1^2 + 6*g1^6*t^4.7 + t^4.81/g1^13 + t^4.95/g1^9 + t^5.08/g1^5 + (3*t^5.22)/g1 + 2*g1^3*t^5.35 + t^5.46/g1^16 + 2*g1^7*t^5.48 + t^5.6/g1^12 + (2*t^5.73)/g1^8 + (3*t^5.87)/g1^4 - 3*t^6. + 4*g1^4*t^6.13 + t^6.25/g1^15 + 2*g1^8*t^6.27 + (2*t^6.52)/g1^7 + t^6.65/g1^3 + 5*g1*t^6.78 + t^6.9/g1^18 - g1^5*t^6.92 + t^7.03/g1^14 + 9*g1^9*t^7.05 + t^7.16/g1^10 + (3*t^7.3)/g1^6 + t^7.55/g1^21 + 6*g1^2*t^7.57 + t^7.68/g1^17 + 4*g1^6*t^7.7 + (2*t^7.81)/g1^13 + 4*g1^10*t^7.84 + (3*t^7.95)/g1^9 - t^8.08/g1^5 + t^8.2/g1^24 + (4*t^8.22)/g1 + (2*t^8.33)/g1^20 - 8*g1^3*t^8.35 + (2*t^8.46)/g1^16 + 8*g1^7*t^8.48 + (4*t^8.6)/g1^12 + 4*g1^11*t^8.62 + t^8.98/g1^23 - t^4.43/(g1^2*y) - t^6.52/(g1^7*y) - t^7.16/(g1^10*y) + (2*t^7.43)/(g1^2*y) + (2*g1^6*t^7.7)/y + t^7.81/(g1^13*y) + t^7.95/(g1^9*y) + (3*t^8.08)/(g1^5*y) + (3*t^8.22)/(g1*y) + (3*g1^3*t^8.35)/y + (2*g1^7*t^8.48)/y + t^8.73/(g1^8*y) + (4*t^8.87)/(g1^4*y) - (t^4.43*y)/g1^2 - (t^6.52*y)/g1^7 - (t^7.16*y)/g1^10 + (2*t^7.43*y)/g1^2 + 2*g1^6*t^7.7*y + (t^7.81*y)/g1^13 + (t^7.95*y)/g1^9 + (3*t^8.08*y)/g1^5 + (3*t^8.22*y)/g1 + 3*g1^3*t^8.35*y + 2*g1^7*t^8.48*y + (t^8.73*y)/g1^8 + (4*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 57111 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_4M_7$ | 0.6151 | 0.7898 | 0.7787 | [X:[], M:[1.0, 0.8768, 0.673, 1.0616, 0.7346, 1.2654, 0.9384], q:[0.7654, 0.2346], qb:[0.5616, 0.5616], phi:[0.4692]] | t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.82 + t^3. + 2*t^3.8 + t^3.98 + t^4.04 + 2*t^4.41 + t^4.65 + 6*t^4.78 + 2*t^4.83 + t^5.02 + 4*t^5.2 + t^5.26 + 2*t^5.39 + 2*t^5.45 + 4*t^5.63 + 3*t^5.82 - 4*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.43/y - t^4.43*y | detail |