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 |
|---|---|---|---|---|---|---|---|---|---|
| 2703 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6887 | 0.8828 | 0.7801 | [X:[], M:[1.1902, 0.7533, 0.8098, 1.1337, 0.8663, 0.8098, 0.7608], q:[0.4331, 0.3766], qb:[0.7571, 0.4896], phi:[0.4859]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [-10], [40]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_7$, $ M_3$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ M_2M_3$, $ M_2M_6$, $ M_3M_7$, $ M_6M_7$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_7$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5^2$, $ M_7\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_4M_7$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$ | . | -2 | t^2.26 + t^2.28 + 2*t^2.43 + t^2.6 + t^2.77 + t^2.92 + t^3.4 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.52 + t^4.54 + t^4.56 + 2*t^4.69 + 2*t^4.71 + 4*t^4.86 + t^4.88 + 3*t^5.03 + t^5.05 + t^5.18 + 4*t^5.2 + 2*t^5.34 + t^5.37 + t^5.51 + t^5.54 + 2*t^5.68 + t^5.83 - 2*t^6. + t^6.15 - t^6.17 + 4*t^6.32 + t^6.34 + 4*t^6.49 + t^6.51 + 4*t^6.66 + t^6.68 + t^6.78 + t^6.8 + 5*t^6.82 + t^6.85 + 2*t^6.95 + 2*t^6.97 + 4*t^6.99 + 3*t^7.12 + 2*t^7.14 + 2*t^7.16 + 5*t^7.29 + 3*t^7.31 + t^7.33 + t^7.44 + 5*t^7.46 + 3*t^7.48 + 2*t^7.6 + 5*t^7.63 + t^7.65 + 4*t^7.77 + 3*t^7.8 + t^7.82 + 3*t^7.94 + 4*t^7.97 - t^8.09 + 5*t^8.11 + t^8.14 - 2*t^8.26 + t^8.31 + t^8.41 - 7*t^8.43 + 2*t^8.45 + 3*t^8.58 - 4*t^8.6 + 2*t^8.62 + 6*t^8.75 - 3*t^8.77 + 2*t^8.79 + 5*t^8.92 + t^8.94 + t^8.96 - t^4.46/y - t^6.72/y - t^6.74/y - t^6.89/y - t^7.37/y + (2*t^7.54)/y + (2*t^7.69)/y + (2*t^7.71)/y + (2*t^7.86)/y + t^7.88/y + (4*t^8.03)/y + t^8.05/y + (2*t^8.18)/y + (4*t^8.2)/y + (2*t^8.34)/y + t^8.37/y + t^8.51/y + t^8.66/y + (2*t^8.68)/y + (2*t^8.83)/y - t^8.98/y - t^4.46*y - t^6.72*y - t^6.74*y - t^6.89*y - t^7.37*y + 2*t^7.54*y + 2*t^7.69*y + 2*t^7.71*y + 2*t^7.86*y + t^7.88*y + 4*t^8.03*y + t^8.05*y + 2*t^8.18*y + 4*t^8.2*y + 2*t^8.34*y + t^8.37*y + t^8.51*y + t^8.66*y + 2*t^8.68*y + 2*t^8.83*y - t^8.98*y | t^2.26/g1^34 + g1^40*t^2.28 + (2*t^2.43)/g1^10 + g1^14*t^2.6 + g1^38*t^2.77 + t^2.92/g1^12 + t^3.4/g1^14 + t^3.89/g1^16 + 2*g1^8*t^4.06 + g1^32*t^4.23 + g1^56*t^4.4 + t^4.52/g1^68 + g1^6*t^4.54 + g1^80*t^4.56 + (2*t^4.69)/g1^44 + 2*g1^30*t^4.71 + (4*t^4.86)/g1^20 + g1^54*t^4.88 + 3*g1^4*t^5.03 + g1^78*t^5.05 + t^5.18/g1^46 + 4*g1^28*t^5.2 + (2*t^5.34)/g1^22 + g1^52*t^5.37 + g1^2*t^5.51 + g1^76*t^5.54 + 2*g1^26*t^5.68 + t^5.83/g1^24 - 2*t^6. + t^6.15/g1^50 - g1^24*t^6.17 + (4*t^6.32)/g1^26 + g1^48*t^6.34 + (4*t^6.49)/g1^2 + g1^72*t^6.51 + 4*g1^22*t^6.66 + g1^96*t^6.68 + t^6.78/g1^102 + t^6.8/g1^28 + 5*g1^46*t^6.82 + g1^120*t^6.85 + (2*t^6.95)/g1^78 + (2*t^6.97)/g1^4 + 4*g1^70*t^6.99 + (3*t^7.12)/g1^54 + 2*g1^20*t^7.14 + 2*g1^94*t^7.16 + (5*t^7.29)/g1^30 + 3*g1^44*t^7.31 + g1^118*t^7.33 + t^7.44/g1^80 + (5*t^7.46)/g1^6 + 3*g1^68*t^7.48 + (2*t^7.6)/g1^56 + 5*g1^18*t^7.63 + g1^92*t^7.65 + (4*t^7.77)/g1^32 + 3*g1^42*t^7.8 + g1^116*t^7.82 + (3*t^7.94)/g1^8 + 4*g1^66*t^7.97 - t^8.09/g1^58 + 5*g1^16*t^8.11 + g1^90*t^8.14 - (2*t^8.26)/g1^34 + g1^114*t^8.31 + t^8.41/g1^84 - (7*t^8.43)/g1^10 + 2*g1^64*t^8.45 + (3*t^8.58)/g1^60 - 4*g1^14*t^8.6 + 2*g1^88*t^8.62 + (6*t^8.75)/g1^36 - 3*g1^38*t^8.77 + 2*g1^112*t^8.79 + (5*t^8.92)/g1^12 + g1^62*t^8.94 + g1^136*t^8.96 - t^4.46/(g1^6*y) - t^6.72/(g1^40*y) - (g1^34*t^6.74)/y - t^6.89/(g1^16*y) - t^7.37/(g1^18*y) + (2*g1^6*t^7.54)/y + (2*t^7.69)/(g1^44*y) + (2*g1^30*t^7.71)/y + (2*t^7.86)/(g1^20*y) + (g1^54*t^7.88)/y + (4*g1^4*t^8.03)/y + (g1^78*t^8.05)/y + (2*t^8.18)/(g1^46*y) + (4*g1^28*t^8.2)/y + (2*t^8.34)/(g1^22*y) + (g1^52*t^8.37)/y + (g1^2*t^8.51)/y + t^8.66/(g1^48*y) + (2*g1^26*t^8.68)/y + (2*t^8.83)/(g1^24*y) - t^8.98/(g1^74*y) - (t^4.46*y)/g1^6 - (t^6.72*y)/g1^40 - g1^34*t^6.74*y - (t^6.89*y)/g1^16 - (t^7.37*y)/g1^18 + 2*g1^6*t^7.54*y + (2*t^7.69*y)/g1^44 + 2*g1^30*t^7.71*y + (2*t^7.86*y)/g1^20 + g1^54*t^7.88*y + 4*g1^4*t^8.03*y + g1^78*t^8.05*y + (2*t^8.18*y)/g1^46 + 4*g1^28*t^8.2*y + (2*t^8.34*y)/g1^22 + g1^52*t^8.37*y + g1^2*t^8.51*y + (t^8.66*y)/g1^48 + 2*g1^26*t^8.68*y + (2*t^8.83*y)/g1^24 - (t^8.98*y)/g1^74 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4880 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_2X_1$ | 0.6119 | 0.7681 | 0.7966 | [X:[1.45], M:[1.25, 0.55, 0.75, 1.05, 0.95, 0.75, 1.0], q:[0.475, 0.275], qb:[0.775, 0.675], phi:[0.45]] | 2*t^2.25 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.45 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + t^5.55 + 4*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 78321/128000, c: 98321/128000, X1: 29/20, M1: 5/4, M2: 11/20, M3: 3/4, M4: 21/20, M5: 19/20, M6: 3/4, M7: 1, q1: 19/40, q2: 11/40, qb1: 31/40, qb2: 27/40, phi1: 9/20} |
| 4896 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1q_2$ | 0.7091 | 0.9219 | 0.7692 | [X:[], M:[1.1894, 0.7562, 0.8106, 1.1349, 0.8651, 0.8106, 0.7574, 0.703], q:[0.4325, 0.3781], qb:[0.7568, 0.487], phi:[0.4864]] | t^2.11 + 2*t^2.27 + 2*t^2.43 + t^2.6 + t^2.76 + t^2.92 + t^3.4 + 2*t^4.05 + 2*t^4.22 + 3*t^4.38 + 5*t^4.54 + 5*t^4.7 + 4*t^4.86 + 2*t^4.87 + 5*t^5.03 + 5*t^5.19 + 3*t^5.35 + 2*t^5.51 + t^5.52 + 2*t^5.68 + t^5.84 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4894 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6814 | 0.8722 | 0.7812 | [X:[], M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7895, 0.8421], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.05 + 2*t^2.37 + t^2.53 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.79 + 3*t^4.11 + 3*t^4.42 + t^4.58 + 5*t^4.74 + 3*t^4.89 + 4*t^5.05 + 3*t^5.21 + 4*t^5.37 + 2*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 37389/54872, c: 23929/27436, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 15/19, M7: 16/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1569 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.7289 | 0.9135 | 0.7979 | [X:[], M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]] | t^2.01 + t^2.55 + 2*t^2.79 + t^2.88 + t^2.98 + t^3.02 + t^3.25 + t^4.02 + t^4.23 + t^4.42 + 2*t^4.46 + t^4.56 + t^4.66 + t^4.7 + 2*t^4.79 + t^4.85 + 2*t^4.89 + t^4.93 + t^4.99 + t^5.03 + t^5.1 + t^5.26 + 2*t^5.34 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.77 + 2*t^5.81 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |