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 |
|---|---|---|---|---|---|---|---|---|---|
| 46619 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 0.9842, 1.0158, 0.8907, 0.7657], q:[0.6639, 0.4454], qb:[0.5704, 0.5389], phi:[0.4454]] | [X:[], M:[[-2, -2], [-1, 1], [1, -1], [-2, -2], [-5, -3]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_2^2$, $ M_5q_1\tilde{q}_2$ | . | -3 | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. + t^6.28 + t^6.31 - 2*t^6.38 + t^6.56 + t^6.59 - t^6.66 + 3*t^6.68 + t^6.87 + t^6.89 + 4*t^6.96 + 3*t^7.06 + t^7.22 + 4*t^7.24 + 3*t^7.27 + 4*t^7.34 + 3*t^7.43 + t^7.52 + t^7.55 + 3*t^7.62 + 6*t^7.64 + t^7.71 + t^7.81 + t^7.92 + 10*t^8.02 - t^8.09 + t^8.18 + t^8.2 - 2*t^8.3 - t^8.37 + t^8.39 + t^8.55 + t^8.58 + t^8.6 - t^8.65 - 10*t^8.67 + 2*t^8.86 + t^8.88 + t^8.93 - 2*t^8.95 + 3*t^8.98 - t^4.34/y - t^6.63/y - (3*t^7.01)/y + (3*t^7.66)/y + (3*t^7.97)/y + t^8.04/y + t^8.25/y + (4*t^8.34)/y + (3*t^8.62)/y + (3*t^8.72)/y + t^8.91/y - t^8.93/y - t^4.34*y - t^6.63*y - 3*t^7.01*y + 3*t^7.66*y + 3*t^7.97*y + t^8.04*y + t^8.25*y + 4*t^8.34*y + 3*t^8.62*y + 3*t^8.72*y + t^8.91*y - t^8.93*y | t^2.3/(g1^5*g2^3) + (3*t^2.67)/(g1^2*g2^2) + (g2*t^2.95)/g1 + (g1*t^3.05)/g2 + g1^3*g2^5*t^3.61 + t^4.01/(g1^3*g2^3) + t^4.29/g1^2 + t^4.38/g2^2 + (g2^3*t^4.57)/g1 + t^4.59/(g1^10*g2^6) + 2*g1*g2*t^4.66 + (g1^3*t^4.76)/g2 + g1^2*g2^4*t^4.94 + (3*t^4.97)/(g1^7*g2^5) + g1^4*g2^2*t^5.04 + t^5.25/(g1^6*g2^2) + g1^5*g2^5*t^5.32 + (6*t^5.34)/(g1^4*g2^4) + t^5.62/(g1^3*g2) + t^5.72/(g1*g2^3) + (g2^2*t^5.91)/g1^2 - 3*t^6. + g1*g2^3*t^6.28 + t^6.31/(g1^8*g2^6) - 2*g1^3*g2*t^6.38 + g1^2*g2^6*t^6.56 + t^6.59/(g1^7*g2^3) - g1^4*g2^4*t^6.66 + (3*t^6.68)/(g1^5*g2^5) + t^6.87/g1^6 + t^6.89/(g1^15*g2^9) + (4*t^6.96)/(g1^4*g2^2) + (3*t^7.06)/(g1^2*g2^4) + g1^6*g2^10*t^7.22 + (4*g2*t^7.24)/g1^3 + (3*t^7.27)/(g1^12*g2^8) + (4*t^7.34)/(g1*g2) + (3*g1*t^7.43)/g2^3 + (g2^4*t^7.52)/g1^2 + t^7.55/(g1^11*g2^5) + 3*g2^2*t^7.62 + (6*t^7.64)/(g1^9*g2^7) + g1^2*t^7.71 + (g1^4*t^7.81)/g2^2 + t^7.92/(g1^8*g2^4) + (10*t^8.02)/(g1^6*g2^6) - g1^5*g2*t^8.09 + g1^2*g2^8*t^8.18 + t^8.2/(g1^7*g2) - (2*t^8.3)/(g1^5*g2^3) - g1^6*g2^4*t^8.37 + t^8.39/(g1^3*g2^5) + g1^5*g2^9*t^8.55 + t^8.58/g1^4 + t^8.6/(g1^13*g2^9) - g1^7*g2^7*t^8.65 - (10*t^8.67)/(g1^2*g2^2) + (2*g2^3*t^8.86)/g1^3 + t^8.88/(g1^12*g2^6) + g1^8*g2^10*t^8.93 - (2*g2*t^8.95)/g1 + (3*t^8.98)/(g1^10*g2^8) - t^4.34/(g1*g2*y) - t^6.63/(g1^6*g2^4*y) - (3*t^7.01)/(g1^3*g2^3*y) + (3*g1*g2*t^7.66)/y + (3*t^7.97)/(g1^7*g2^5*y) + (g1^4*g2^2*t^8.04)/y + t^8.25/(g1^6*g2^2*y) + (4*t^8.34)/(g1^4*g2^4*y) + (3*t^8.62)/(g1^3*g2*y) + (3*t^8.72)/(g1*g2^3*y) + (g2^2*t^8.91)/(g1^2*y) - t^8.93/(g1^11*g2^7*y) - (t^4.34*y)/(g1*g2) - (t^6.63*y)/(g1^6*g2^4) - (3*t^7.01*y)/(g1^3*g2^3) + 3*g1*g2*t^7.66*y + (3*t^7.97*y)/(g1^7*g2^5) + g1^4*g2^2*t^8.04*y + (t^8.25*y)/(g1^6*g2^2) + (4*t^8.34*y)/(g1^4*g2^4) + (3*t^8.62*y)/(g1^3*g2) + (3*t^8.72*y)/(g1*g2^3) + (g2^2*t^8.91*y)/g1^2 - (t^8.93*y)/(g1^11*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 47242 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ + $ M_4M_5$ | 0.6935 | 0.8487 | 0.8171 | [X:[], M:[0.9891, 1.0327, 0.9673, 0.9891, 1.0109], q:[0.5163, 0.4946], qb:[0.4728, 0.5381], phi:[0.4946]] | t^2.9 + 3*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + 2*t^4.52 + 2*t^4.58 + t^4.65 + t^4.71 + t^5.87 + 4*t^5.93 - t^4.48/y - t^4.48*y | detail | |
| 47217 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7292 | 0.8958 | 0.814 | [X:[], M:[0.8889, 1.0, 1.0, 0.8889, 0.7778], q:[0.6667, 0.4444], qb:[0.5556, 0.5556], phi:[0.4444]] | t^2.33 + 3*t^2.67 + 2*t^3. + t^3.67 + t^4. + 2*t^4.33 + 5*t^4.67 + 5*t^5. + 8*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 35/48, c: 43/48, M1: 8/9, M2: 1, M3: 1, M4: 8/9, M5: 7/9, q1: 2/3, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 4/9} |
| 48153 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ + $ M_5^2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9741, 1.0517, 0.9483, 0.9741, 1.0], q:[0.5388, 0.4871], qb:[0.4612, 0.5647], phi:[0.4871]] | t^2.84 + 3*t^2.92 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + 2*t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.85 + t^5.77 + 6*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46304 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.7125 | 0.866 | 0.8228 | [X:[], M:[0.9101, 1.0, 1.0, 0.9101], q:[0.6348, 0.4551], qb:[0.5449, 0.5449], phi:[0.4551]] | 3*t^2.73 + 2*t^3. + 2*t^3.54 + t^4.1 + 2*t^4.37 + 4*t^4.63 + 2*t^4.9 + t^5.17 + 5*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.37/y - t^4.37*y | detail |