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 |
|---|---|---|---|---|---|---|---|---|---|
| 5321 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6224 | 0.8033 | 0.7748 | [X:[], M:[1.0219, 0.6799, 0.9781, 0.7237, 1.2763, 0.8509, 0.8947, 0.8071], q:[0.6382, 0.3399], qb:[0.3837, 0.9364], phi:[0.4254]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-4], [24], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_8$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_1$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_8$, $ M_2M_6$, $ M_4M_8$, $ M_2\phi_1^2$, $ M_4M_6$, $ M_2M_7$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_8^2$, $ M_4M_7$, $ M_2M_3$, $ M_6M_8$, $ M_8\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_7M_8$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_6M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_8$, $ M_7^2$, $ M_3M_6$, $ M_1M_8$, $ M_3\phi_1^2$, $ M_1M_6$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_1M_7$, $ M_3^2$, $ M_2M_5$ | . | -1 | t^2.04 + t^2.17 + t^2.42 + 2*t^2.55 + t^2.68 + t^2.93 + t^3.07 + t^3.83 + t^4.08 + t^4.21 + t^4.34 + t^4.46 + 3*t^4.59 + 4*t^4.72 + t^4.84 + t^4.86 + 3*t^4.97 + 6*t^5.11 + 3*t^5.24 + t^5.36 + t^5.37 + 2*t^5.49 + 2*t^5.62 + t^5.75 + t^5.87 - t^6. + t^6.12 + 2*t^6.25 + t^6.38 + t^6.5 + 3*t^6.63 + 4*t^6.76 + t^6.88 + t^6.89 + 4*t^7.01 + 8*t^7.14 + t^7.26 + 7*t^7.28 + 3*t^7.4 + 3*t^7.41 + 7*t^7.53 + t^7.54 + 10*t^7.66 + t^7.78 + 6*t^7.79 + 3*t^7.91 + 3*t^7.92 + t^8.04 + t^8.05 + t^8.16 + 2*t^8.29 + t^8.3 - t^8.42 + t^8.43 + t^8.54 - 5*t^8.55 + 4*t^8.67 - 4*t^8.68 + 4*t^8.8 + t^8.92 - 2*t^8.93 - t^4.28/y - t^6.32/y - t^6.7/y - (2*t^6.83)/y - t^6.96/y + t^7.21/y + t^7.46/y + (4*t^7.59)/y + (5*t^7.72)/y + (2*t^7.86)/y + (3*t^7.97)/y + (4*t^8.11)/y + (4*t^8.24)/y + (3*t^8.49)/y + (3*t^8.62)/y - t^8.74/y + t^8.75/y - t^8.87/y - t^4.28*y - t^6.32*y - t^6.7*y - 2*t^6.83*y - t^6.96*y + t^7.21*y + t^7.46*y + 4*t^7.59*y + 5*t^7.72*y + 2*t^7.86*y + 3*t^7.97*y + 4*t^8.11*y + 4*t^8.24*y + 3*t^8.49*y + 3*t^8.62*y - t^8.74*y + t^8.75*y - t^8.87*y | t^2.04/g1^22 + g1^6*t^2.17 + t^2.42/g1^32 + (2*t^2.55)/g1^4 + g1^24*t^2.68 + t^2.93/g1^14 + g1^14*t^3.07 + t^3.83/g1^6 + t^4.08/g1^44 + t^4.21/g1^16 + g1^12*t^4.34 + t^4.46/g1^54 + (3*t^4.59)/g1^26 + 4*g1^2*t^4.72 + t^4.84/g1^64 + g1^30*t^4.86 + (3*t^4.97)/g1^36 + (6*t^5.11)/g1^8 + 3*g1^20*t^5.24 + t^5.36/g1^46 + g1^48*t^5.37 + (2*t^5.49)/g1^18 + 2*g1^10*t^5.62 + g1^38*t^5.75 + t^5.87/g1^28 - t^6. + t^6.12/g1^66 + (2*t^6.25)/g1^38 + t^6.38/g1^10 + t^6.5/g1^76 + (3*t^6.63)/g1^48 + (4*t^6.76)/g1^20 + t^6.88/g1^86 + g1^8*t^6.89 + (4*t^7.01)/g1^58 + (8*t^7.14)/g1^30 + t^7.26/g1^96 + (7*t^7.28)/g1^2 + (3*t^7.4)/g1^68 + 3*g1^26*t^7.41 + (7*t^7.53)/g1^40 + g1^54*t^7.54 + (10*t^7.66)/g1^12 + t^7.78/g1^78 + 6*g1^16*t^7.79 + (3*t^7.91)/g1^50 + 3*g1^44*t^7.92 + t^8.04/g1^22 + g1^72*t^8.05 + t^8.16/g1^88 + (2*t^8.29)/g1^60 + g1^34*t^8.3 - t^8.42/g1^32 + g1^62*t^8.43 + t^8.54/g1^98 - (5*t^8.55)/g1^4 + (4*t^8.67)/g1^70 - 4*g1^24*t^8.68 + (4*t^8.8)/g1^42 + t^8.92/g1^108 - (2*t^8.93)/g1^14 - t^4.28/(g1^2*y) - t^6.32/(g1^24*y) - t^6.7/(g1^34*y) - (2*t^6.83)/(g1^6*y) - (g1^22*t^6.96)/y + t^7.21/(g1^16*y) + t^7.46/(g1^54*y) + (4*t^7.59)/(g1^26*y) + (5*g1^2*t^7.72)/y + (2*g1^30*t^7.86)/y + (3*t^7.97)/(g1^36*y) + (4*t^8.11)/(g1^8*y) + (4*g1^20*t^8.24)/y + (3*t^8.49)/(g1^18*y) + (3*g1^10*t^8.62)/y - t^8.74/(g1^56*y) + (g1^38*t^8.75)/y - t^8.87/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.32*y)/g1^24 - (t^6.7*y)/g1^34 - (2*t^6.83*y)/g1^6 - g1^22*t^6.96*y + (t^7.21*y)/g1^16 + (t^7.46*y)/g1^54 + (4*t^7.59*y)/g1^26 + 5*g1^2*t^7.72*y + 2*g1^30*t^7.86*y + (3*t^7.97*y)/g1^36 + (4*t^8.11*y)/g1^8 + 4*g1^20*t^8.24*y + (3*t^8.49*y)/g1^18 + 3*g1^10*t^8.62*y - (t^8.74*y)/g1^56 + g1^38*t^8.75*y - (t^8.87*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6852 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ | 0.5947 | 0.7666 | 0.7758 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.875, 0.75, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.94 + t^4.12 + t^4.31 + 2*t^4.5 + 4*t^4.69 + 4*t^4.88 + 4*t^5.06 + 6*t^5.25 + 3*t^5.44 + 3*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 38973/65536, c: 50237/65536, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 7/8, M7: 3/4, M8: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3618 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6079 | 0.7775 | 0.7818 | [X:[], M:[1.0001, 0.7142, 0.9999, 0.7143, 1.2857, 0.8571, 0.8573], q:[0.6428, 0.3571], qb:[0.3572, 0.9286], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + 7*t^4.71 + 10*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail |