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 |
|---|---|---|---|---|---|---|---|---|---|
| 46561 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.82, 0.7699, 0.9749, 1.0251, 0.9749], q:[0.6538, 0.5262], qb:[0.5763, 0.4487], phi:[0.4487]] | [X:[], M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [-1, -1]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1^2$, $ M_1M_3$, $ M_1M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$ | $\phi_1^2q_1\tilde{q}_2$ | -2 | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*t^6. - t^6.15 + 2*t^6.23 + t^6.35 - 2*t^6.38 + t^6.5 + t^6.58 + t^6.62 + 2*t^6.73 + t^6.81 + t^6.88 + t^6.93 + 4*t^6.96 + t^7.08 + 2*t^7.11 + 3*t^7.2 + t^7.23 + t^7.26 + t^7.31 + 3*t^7.35 + t^7.38 + 2*t^7.43 + t^7.46 + t^7.5 + 2*t^7.54 + 3*t^7.58 + t^7.61 + 2*t^7.69 + t^7.73 + 2*t^7.81 + 2*t^7.85 + 2*t^7.93 + t^7.96 + 2*t^8.08 + 2*t^8.16 + t^8.19 - t^8.34 - 3*t^8.46 + 2*t^8.54 - t^8.61 + t^8.66 - 3*t^8.69 + 3*t^8.77 + t^8.81 - t^8.84 + t^8.89 - 5*t^8.92 + t^8.96 - t^4.35/y - t^6.66/y - t^6.81/y - t^7.04/y - t^7.27/y + t^7.42/y + t^7.65/y + t^7.77/y + t^7.89/y + t^8./y + t^8.04/y + t^8.15/y + (2*t^8.23)/y + (2*t^8.38)/y + (4*t^8.62)/y + (2*t^8.77)/y + t^8.85/y - t^8.97/y - t^4.35*y - t^6.66*y - t^6.81*y - t^7.04*y - t^7.27*y + t^7.42*y + t^7.65*y + t^7.77*y + t^7.89*y + t^8.*y + t^8.04*y + t^8.15*y + 2*t^8.23*y + 2*t^8.38*y + 4*t^8.62*y + 2*t^8.77*y + t^8.85*y - t^8.97*y | (g2^3*t^2.31)/g1 + g1*g2^5*t^2.46 + g2^2*t^2.69 + (2*t^2.92)/(g1*g2) + (2*t^3.31)/g2^2 + g2^3*t^4.04 + t^4.27/g1 + g1*g2^2*t^4.42 + t^4.5/(g1^2*g2^3) + (g2^6*t^4.62)/g1^2 + (2*t^4.65)/g2 + g2^8*t^4.77 + g1^2*g2*t^4.8 + t^4.89/(g1*g2^4) + g1^2*g2^10*t^4.92 + (g2^5*t^5.)/g1 + (g1*t^5.04)/g2^2 + g1*g2^7*t^5.15 + (2*g2^2*t^5.23)/g1^2 + t^5.27/g2^5 + 2*g2^4*t^5.38 + (2*g2*t^5.62)/g1 + (2*t^5.85)/(g1^2*g2^2) - 2*t^6. - g1^2*g2^2*t^6.15 + (2*t^6.23)/(g1*g2^3) + (g2^6*t^6.35)/g1 - (2*g1*t^6.38)/g2 + g1*g2^8*t^6.5 + (g2^3*t^6.58)/g1^2 + t^6.62/g2^4 + 2*g2^5*t^6.73 + t^6.81/g1^3 + g1^2*g2^7*t^6.88 + (g2^9*t^6.93)/g1^3 + (4*g2^2*t^6.96)/g1 + (g2^11*t^7.08)/g1 + 2*g1*g2^4*t^7.11 + (3*t^7.2)/(g1^2*g2) + g1*g2^13*t^7.23 + g1^3*g2^6*t^7.26 + (g2^8*t^7.31)/g1^2 + 3*g2*t^7.35 + g1^3*g2^15*t^7.38 + (2*t^7.43)/(g1^3*g2^4) + g2^10*t^7.46 + g1^2*g2^3*t^7.5 + (2*g2^5*t^7.54)/g1^3 + (3*t^7.58)/(g1*g2^2) + g1^2*g2^12*t^7.61 + (2*g2^7*t^7.69)/g1 + g1*t^7.73 + (2*t^7.81)/(g1^2*g2^5) + 2*g1*g2^9*t^7.85 + (2*g2^4*t^7.93)/g1^2 + t^7.96/g2^3 + 2*g2^6*t^8.08 + (2*g2*t^8.16)/g1^3 + t^8.19/(g1*g2^6) - (g1*t^8.34)/g2^4 - 3*g1*g2^5*t^8.46 + (2*t^8.54)/g1^2 - g1^3*g2^7*t^8.61 + (g2^9*t^8.66)/g1^2 - 3*g2^2*t^8.69 + (3*t^8.77)/(g1^3*g2^3) + g2^11*t^8.81 - g1^2*g2^4*t^8.84 + (g2^6*t^8.89)/g1^3 - (5*t^8.92)/(g1*g2) + g1^2*g2^13*t^8.96 - (g2*t^4.35)/y - (g2^4*t^6.66)/(g1*y) - (g1*g2^6*t^6.81)/y - (g2^3*t^7.04)/y - t^7.27/(g1*y) + (g1*g2^2*t^7.42)/y + t^7.65/(g2*y) + (g2^8*t^7.77)/y + t^7.89/(g1*g2^4*y) + (g2^5*t^8.)/(g1*y) + (g1*t^8.04)/(g2^2*y) + (g1*g2^7*t^8.15)/y + (2*g2^2*t^8.23)/(g1^2*y) + (2*g2^4*t^8.38)/y + (4*g2*t^8.62)/(g1*y) + (2*g1*g2^3*t^8.77)/y + t^8.85/(g1^2*g2^2*y) - (g2^7*t^8.97)/(g1^2*y) - g2*t^4.35*y - (g2^4*t^6.66*y)/g1 - g1*g2^6*t^6.81*y - g2^3*t^7.04*y - (t^7.27*y)/g1 + g1*g2^2*t^7.42*y + (t^7.65*y)/g2 + g2^8*t^7.77*y + (t^7.89*y)/(g1*g2^4) + (g2^5*t^8.*y)/g1 + (g1*t^8.04*y)/g2^2 + g1*g2^7*t^8.15*y + (2*g2^2*t^8.23*y)/g1^2 + 2*g2^4*t^8.38*y + (4*g2*t^8.62*y)/g1 + 2*g1*g2^3*t^8.77*y + (t^8.85*y)/(g1^2*g2^2) - (g2^7*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 46966 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2M_6$ | 0.7115 | 0.8652 | 0.8224 | [X:[], M:[0.8397, 0.8257, 0.993, 1.007, 0.993, 1.1743], q:[0.6254, 0.5348], qb:[0.5488, 0.4582], phi:[0.4582]] | t^2.52 + t^2.75 + 2*t^2.98 + 2*t^3.25 + t^3.52 + t^4.12 + t^4.35 + t^4.4 + t^4.58 + 2*t^4.63 + t^4.67 + t^4.86 + t^4.9 + t^5.04 + t^5.13 + t^5.27 + 2*t^5.5 + 2*t^5.96 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 46976 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.9229, 0.4956, 0.7863, 1.2137, 0.7863], q:[0.7181, 0.359], qb:[0.7863, 0.4273], phi:[0.4273]] | 2*t^2.36 + t^2.56 + t^2.77 + 3*t^3.44 + t^3.64 + t^3.85 + 2*t^4.51 + 4*t^4.72 + t^4.92 + 2*t^5.13 + t^5.33 + t^5.54 + t^5.59 + 5*t^5.8 + t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46233 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], 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 |