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 |
|---|---|---|---|---|---|---|---|---|---|
| 585 | 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_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | [X:[], M:[[1, -1], [-1, -3], [-1, 1], [1, -5], [0, 2]], q:[[0, -1], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_1$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_2$, $ M_3M_4$, $ M_2M_3$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_2M_5$ | $M_1^2$, $ M_3^2$ | -3 | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + 4*t^6.54 + 2*t^6.55 + 3*t^6.82 + 6*t^7.09 + 4*t^7.36 + 4*t^7.37 + 6*t^7.64 + 10*t^7.91 + 5*t^8.18 + t^8.45 - 4*t^8.46 + 2*t^8.73 - t^4.36/y - (2*t^6.82)/y + (3*t^7.91)/y + (4*t^8.46)/y + (6*t^8.73)/y - t^4.36*y - 2*t^6.82*y + 3*t^7.91*y + 4*t^8.46*y + 6*t^8.73*y | (g1*t^2.46)/g2^5 + t^2.46/(g1*g2^3) + (g1*t^3.)/g2 + (g2*t^3.)/g1 + 3*g2^2*t^3.27 + t^4.09/g2^3 + t^4.36/g1 + (g1*t^4.36)/g2^2 + (g1^2*t^4.64)/g2 + 2*g2*t^4.64 + (g2^3*t^4.64)/g1^2 + (g1^2*t^4.91)/g2^10 + t^4.91/g2^8 + t^4.91/(g1^2*g2^6) + g1*g2^2*t^4.91 + (g2^4*t^4.91)/g1 + g2^5*t^5.18 + (g1^2*t^5.46)/g2^6 + t^5.46/g2^4 + t^5.46/(g1^2*g2^2) + (g1*t^5.73)/g2^3 + t^5.73/(g1*g2) - 3*t^6. + g1*g2*t^6.27 + (g2^3*t^6.27)/g1 + 4*g2^4*t^6.54 + (g1*t^6.55)/g2^8 + t^6.55/(g1*g2^6) + (g1^2*t^6.82)/g2^7 + t^6.82/g2^5 + t^6.82/(g1^2*g2^3) + t^7.09/g1^3 + (g1^3*t^7.09)/g2^6 + (2*g1*t^7.09)/g2^4 + (2*t^7.09)/(g1*g2^2) + (g1^2*t^7.36)/g2^3 + (2*t^7.36)/g2 + (g2*t^7.36)/g1^2 + (g1^3*t^7.37)/g2^15 + (g1*t^7.37)/g2^13 + t^7.37/(g1*g2^11) + t^7.37/(g1^3*g2^9) + 2*g1*t^7.64 + (g1^3*t^7.64)/g2^2 + (2*g2^2*t^7.64)/g1 + (g2^4*t^7.64)/g1^3 + (g1^3*t^7.91)/g2^11 + (g1*t^7.91)/g2^9 + t^7.91/(g1*g2^7) + t^7.91/(g1^3*g2^5) + 2*g1^2*g2*t^7.91 + 2*g2^3*t^7.91 + (2*g2^5*t^7.91)/g1^2 + (g1^2*t^8.18)/g2^8 + t^8.18/g2^6 + t^8.18/(g1^2*g2^4) + g1*g2^4*t^8.18 + (g2^6*t^8.18)/g1 + g2^7*t^8.45 - (2*g1*t^8.46)/g2^5 - (2*t^8.46)/(g1*g2^3) + t^8.73/g1^2 + (g1^2*t^8.73)/g2^4 - t^4.36/(g2*y) - (g1*t^6.82)/(g2^6*y) - t^6.82/(g1*g2^4*y) + t^7.91/(g2^8*y) + (g1*g2^2*t^7.91)/y + (g2^4*t^7.91)/(g1*y) + (g1^2*t^8.46)/(g2^6*y) + (2*t^8.46)/(g2^4*y) + t^8.46/(g1^2*g2^2*y) + (3*g1*t^8.73)/(g2^3*y) + (3*t^8.73)/(g1*g2*y) - (t^4.36*y)/g2 - (g1*t^6.82*y)/g2^6 - (t^6.82*y)/(g1*g2^4) + (t^7.91*y)/g2^8 + g1*g2^2*t^7.91*y + (g2^4*t^7.91*y)/g1 + (g1^2*t^8.46*y)/g2^6 + (2*t^8.46*y)/g2^4 + (t^8.46*y)/(g1^2*g2^2) + (3*g1*t^8.73*y)/g2^3 + (3*t^8.73*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1921 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.8384, 0.7104, 1.1616, 0.3872, 1.2256], q:[0.3872, 0.7744], qb:[0.4512, 0.8384], phi:[0.3872]] | t^2.13 + t^2.52 + 2*t^3.48 + 4*t^3.68 + t^3.87 + t^4.26 + t^4.65 + t^4.84 + t^5.03 + 2*t^5.62 + 2*t^5.81 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 367 | 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_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*y | detail |