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 |
|---|---|---|---|---|---|---|---|---|---|
| 1058 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7198 | 0.9129 | 0.7884 | [X:[], M:[0.9768, 1.1237, 0.9666, 0.6855, 0.8763, 0.7758, 0.6958], q:[0.7809, 0.433], qb:[0.5902, 0.4433], phi:[0.4382]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_7$, $ M_7^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_7$, $ M_1M_7$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_7q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$ | . | -3 | t^2.06 + t^2.09 + t^2.33 + 2*t^2.63 + t^2.9 + t^2.93 + t^3.64 + t^3.97 + 2*t^4.11 + t^4.14 + t^4.17 + 2*t^4.38 + 2*t^4.41 + t^4.65 + 2*t^4.69 + 2*t^4.72 + t^4.86 + 3*t^4.96 + 2*t^4.99 + t^5.02 + t^5.23 + 4*t^5.26 + t^5.53 + t^5.56 + t^5.7 + t^5.73 + t^5.8 + t^5.83 + t^5.86 - 3*t^6. + t^6.06 + 2*t^6.17 + 2*t^6.2 + t^6.23 + t^6.26 + t^6.27 + 2*t^6.44 + 2*t^6.47 + 2*t^6.5 + t^6.54 + 2*t^6.6 + 2*t^6.71 + 4*t^6.74 + 2*t^6.77 + 2*t^6.8 - t^6.84 + t^6.9 + t^6.91 + t^6.94 + t^6.98 + 4*t^7.01 + 5*t^7.04 + 2*t^7.07 + t^7.11 + t^7.18 + 3*t^7.28 + 4*t^7.31 + 3*t^7.35 + t^7.48 + t^7.55 + 4*t^7.59 + 2*t^7.62 + t^7.65 + t^7.76 + t^7.82 + 2*t^7.86 + 6*t^7.89 + 2*t^7.92 + 2*t^7.95 - 4*t^8.06 - 3*t^8.09 + t^8.13 + t^8.15 + 2*t^8.16 + 2*t^8.19 + 2*t^8.23 + 2*t^8.26 + 2*t^8.29 + t^8.32 - 4*t^8.33 + t^8.35 - t^8.36 + t^8.39 + t^8.43 + t^8.46 + t^8.49 + 3*t^8.5 + 2*t^8.53 + 2*t^8.56 + 2*t^8.59 - 5*t^8.63 + 2*t^8.69 + t^8.7 + t^8.73 + t^8.76 + 2*t^8.77 + t^8.79 + 3*t^8.8 + 5*t^8.83 + 2*t^8.86 + 2*t^8.89 - 3*t^8.9 - 4*t^8.93 + 2*t^8.97 + t^8.99 - t^4.31/y - t^6.37/y - t^6.4/y - t^6.64/y - t^6.94/y + t^7.14/y - t^7.21/y - t^7.24/y + (2*t^7.38)/y + (2*t^7.41)/y + (3*t^7.69)/y + (2*t^7.72)/y + (3*t^7.96)/y + (3*t^7.99)/y + t^8.02/y + (2*t^8.23)/y + (3*t^8.26)/y - t^8.43/y - t^8.46/y - t^8.49/y + (2*t^8.53)/y + (2*t^8.56)/y + t^8.83/y - t^4.31*y - t^6.37*y - t^6.4*y - t^6.64*y - t^6.94*y + t^7.14*y - t^7.21*y - t^7.24*y + 2*t^7.38*y + 2*t^7.41*y + 3*t^7.69*y + 2*t^7.72*y + 3*t^7.96*y + 3*t^7.99*y + t^8.02*y + 2*t^8.23*y + 3*t^8.26*y - t^8.43*y - t^8.46*y - t^8.49*y + 2*t^8.53*y + 2*t^8.56*y + t^8.83*y | g1^6*t^2.06 + g1^10*g2^2*t^2.09 + t^2.33/(g1*g2) + (2*t^2.63)/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.93)/g1^7 + t^3.64/(g1^3*g2) + (g2^2*t^3.97)/g1^2 + 2*g1^12*t^4.11 + g1^16*g2^2*t^4.14 + g1^20*g2^4*t^4.17 + (2*g1^5*t^4.38)/g2 + 2*g1^9*g2*t^4.41 + t^4.65/(g1^2*g2^2) + 2*g1^2*t^4.69 + 2*g1^6*g2^2*t^4.72 + g1^20*t^4.86 + (3*t^4.96)/(g1^5*g2) + (2*g2*t^4.99)/g1 + g1^3*g2^3*t^5.02 + t^5.23/(g1^12*g2^2) + (4*t^5.26)/g1^8 + t^5.53/(g1^15*g2) + (g2*t^5.56)/g1^11 + (g1^3*t^5.7)/g2 + g1^7*g2*t^5.73 + t^5.8/(g1^22*g2^2) + t^5.83/g1^18 + (g2^2*t^5.86)/g1^14 - 3*t^6. + g1^8*g2^4*t^6.06 + 2*g1^18*t^6.17 + 2*g1^22*g2^2*t^6.2 + g1^26*g2^4*t^6.23 + g1^30*g2^6*t^6.26 + t^6.27/(g1^7*g2) + (2*g1^11*t^6.44)/g2 + 2*g1^15*g2*t^6.47 + 2*g1^19*g2^3*t^6.5 + t^6.54/(g1^14*g2^2) + (2*g2^2*t^6.6)/g1^6 + (2*g1^4*t^6.71)/g2^2 + 4*g1^8*t^6.74 + 2*g1^12*g2^2*t^6.77 + 2*g1^16*g2^4*t^6.8 - t^6.84/(g1^17*g2) + (g2^3*t^6.9)/g1^9 + g1^26*t^6.91 + g1^30*g2^2*t^6.94 + t^6.98/(g1^3*g2^3) + (4*g1*t^7.01)/g2 + 5*g1^5*g2*t^7.04 + 2*g1^9*g2^3*t^7.07 + g1^13*g2^5*t^7.11 + (g1^19*t^7.18)/g2 + (3*t^7.28)/(g1^6*g2^2) + (4*t^7.31)/g1^2 + 3*g1^2*g2^2*t^7.35 + g1^16*t^7.48 + t^7.55/(g1^13*g2^3) + (4*t^7.59)/(g1^9*g2) + (2*g2*t^7.62)/g1^5 + (g2^3*t^7.65)/g1 + (g1^9*t^7.76)/g2 + g1^17*g2^3*t^7.82 + (2*t^7.86)/(g1^16*g2^2) + (6*t^7.89)/g1^12 + (2*g2^2*t^7.92)/g1^8 + (2*g2^4*t^7.95)/g1^4 - 4*g1^6*t^8.06 - 3*g1^10*g2^2*t^8.09 + t^8.13/(g1^23*g2^3) + g1^18*g2^6*t^8.15 + (2*t^8.16)/(g1^19*g2) + (2*g2*t^8.19)/g1^15 + 2*g1^24*t^8.23 + 2*g1^28*g2^2*t^8.26 + 2*g1^32*g2^4*t^8.29 + g1^36*g2^6*t^8.32 - (4*t^8.33)/(g1*g2) + g1^40*g2^8*t^8.35 - g1^3*g2*t^8.36 + g1^7*g2^3*t^8.39 + t^8.43/(g1^26*g2^2) + t^8.46/g1^22 + (g2^2*t^8.49)/g1^18 + (3*g1^17*t^8.5)/g2 + 2*g1^21*g2*t^8.53 + 2*g1^25*g2^3*t^8.56 + 2*g1^29*g2^5*t^8.59 - (5*t^8.63)/g1^4 + 2*g1^4*g2^4*t^8.69 + t^8.7/(g1^33*g2^3) + t^8.73/(g1^29*g2) + (g2*t^8.76)/g1^25 + (2*g1^10*t^8.77)/g2^2 + (g2^3*t^8.79)/g1^21 + 3*g1^14*t^8.8 + 5*g1^18*g2^2*t^8.83 + 2*g1^22*g2^4*t^8.86 + 2*g1^26*g2^6*t^8.89 - (3*t^8.9)/(g1^11*g2) - (4*g2*t^8.93)/g1^7 + 2*g1^32*t^8.97 + g1*g2^5*t^8.99 - t^4.31/(g1^2*y) - (g1^4*t^6.37)/y - (g1^8*g2^2*t^6.4)/y - t^6.64/(g1^3*g2*y) - t^6.94/(g1^6*y) + (g1^16*g2^2*t^7.14)/y - t^7.21/(g1^13*g2*y) - (g2*t^7.24)/(g1^9*y) + (2*g1^5*t^7.38)/(g2*y) + (2*g1^9*g2*t^7.41)/y + (3*g1^2*t^7.69)/y + (2*g1^6*g2^2*t^7.72)/y + (3*t^7.96)/(g1^5*g2*y) + (3*g2*t^7.99)/(g1*y) + (g1^3*g2^3*t^8.02)/y + (2*t^8.23)/(g1^12*g2^2*y) + (3*t^8.26)/(g1^8*y) - (g1^10*t^8.43)/y - (g1^14*g2^2*t^8.46)/y - (g1^18*g2^4*t^8.49)/y + (2*t^8.53)/(g1^15*g2*y) + (2*g2*t^8.56)/(g1^11*y) + t^8.83/(g1^18*y) - (t^4.31*y)/g1^2 - g1^4*t^6.37*y - g1^8*g2^2*t^6.4*y - (t^6.64*y)/(g1^3*g2) - (t^6.94*y)/g1^6 + g1^16*g2^2*t^7.14*y - (t^7.21*y)/(g1^13*g2) - (g2*t^7.24*y)/g1^9 + (2*g1^5*t^7.38*y)/g2 + 2*g1^9*g2*t^7.41*y + 3*g1^2*t^7.69*y + 2*g1^6*g2^2*t^7.72*y + (3*t^7.96*y)/(g1^5*g2) + (3*g2*t^7.99*y)/g1 + g1^3*g2^3*t^8.02*y + (2*t^8.23*y)/(g1^12*g2^2) + (3*t^8.26*y)/g1^8 - g1^10*t^8.43*y - g1^14*g2^2*t^8.46*y - g1^18*g2^4*t^8.49*y + (2*t^8.53*y)/(g1^15*g2) + (2*g2*t^8.56*y)/g1^11 + (t^8.83*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1646 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7406 | 0.9542 | 0.7762 | [X:[], M:[0.9789, 1.1233, 0.9664, 0.6849, 0.8767, 0.7746, 0.6974, 0.6724], q:[0.7808, 0.4321], qb:[0.589, 0.4446], phi:[0.4384]] | t^2.02 + t^2.05 + t^2.09 + t^2.32 + 2*t^2.63 + t^2.9 + t^2.94 + t^3.64 + t^4.03 + t^4.07 + 3*t^4.11 + t^4.15 + t^4.18 + t^4.34 + 2*t^4.38 + 2*t^4.42 + 3*t^4.65 + 2*t^4.68 + 2*t^4.72 + t^4.85 + t^4.92 + 4*t^4.95 + 2*t^4.99 + t^5.03 + t^5.22 + 4*t^5.26 + t^5.53 + t^5.57 + t^5.66 + t^5.69 + t^5.73 + t^5.8 + t^5.84 + t^5.87 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 662 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail |