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 |
|---|---|---|---|---|---|---|---|---|---|
| 4544 | 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ + $ M_4M_8$ | 0.7069 | 0.8759 | 0.8071 | [X:[], M:[1.0856, 0.8717, 0.9144, 1.0428, 1.0, 0.9572, 0.9144, 0.9572], q:[0.5, 0.4144], qb:[0.5856, 0.5428], phi:[0.4893]] | [X:[], M:[[8], [-12], [-8], [4], [0], [-4], [-8], [-4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_7$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_7$, $ M_3^2$, $ M_2M_6$, $ M_3M_7$, $ M_7^2$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_3M_6$, $ M_6M_7$, $ M_3M_8$, $ M_7M_8$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_6^2$, $ M_5M_7$, $ M_6M_8$, $ M_8^2$, $ M_6\phi_1^2$, $ M_8\phi_1^2$, $ M_5M_6$, $ M_5M_8$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -3 | t^2.62 + 2*t^2.74 + 2*t^2.87 + t^2.94 + t^3. + t^3.95 + t^4.21 + t^4.34 + 2*t^4.47 + t^4.6 + 2*t^4.72 + t^4.85 + t^4.98 + t^5.23 + 2*t^5.36 + 4*t^5.49 + t^5.55 + 4*t^5.62 + 2*t^5.68 + 3*t^5.74 + 2*t^5.81 + t^5.87 + t^5.94 - 3*t^6. - 3*t^6.13 - 2*t^6.26 - t^6.38 - t^6.51 + t^6.57 + 2*t^6.7 + 3*t^6.83 + t^6.89 + 3*t^6.95 - t^7.02 + 4*t^7.08 + t^7.15 + 5*t^7.21 + 5*t^7.34 + t^7.4 + 4*t^7.47 - t^7.53 + 3*t^7.6 + t^7.66 + 2*t^7.72 - t^7.79 + t^7.85 + t^7.91 + 2*t^7.97 - t^7.98 - t^8.05 + 4*t^8.1 - t^8.11 + 2*t^8.17 + 6*t^8.23 + 3*t^8.29 + 5*t^8.36 + 6*t^8.42 + 4*t^8.49 + 5*t^8.55 + 6*t^8.68 - 7*t^8.74 + 3*t^8.81 - 12*t^8.87 + t^8.94 - t^4.47/y - t^7.08/y - t^7.21/y - t^7.34/y - t^7.4/y + t^7.53/y + t^7.6/y + t^7.72/y + t^7.85/y + (2*t^8.36)/y + (3*t^8.49)/y + t^8.55/y + (5*t^8.62)/y + (2*t^8.68)/y + (3*t^8.74)/y + (2*t^8.81)/y + (2*t^8.87)/y + t^8.94/y - t^4.47*y - t^7.08*y - t^7.21*y - t^7.34*y - t^7.4*y + t^7.53*y + t^7.6*y + t^7.72*y + t^7.85*y + 2*t^8.36*y + 3*t^8.49*y + t^8.55*y + 5*t^8.62*y + 2*t^8.68*y + 3*t^8.74*y + 2*t^8.81*y + 2*t^8.87*y + t^8.94*y | t^2.62/g1^12 + (2*t^2.74)/g1^8 + (2*t^2.87)/g1^4 + t^2.94/g1^2 + t^3. + t^3.95/g1^17 + t^4.21/g1^9 + t^4.34/g1^5 + (2*t^4.47)/g1 + g1^3*t^4.6 + 2*g1^7*t^4.72 + g1^11*t^4.85 + g1^15*t^4.98 + t^5.23/g1^24 + (2*t^5.36)/g1^20 + (4*t^5.49)/g1^16 + t^5.55/g1^14 + (4*t^5.62)/g1^12 + (2*t^5.68)/g1^10 + (3*t^5.74)/g1^8 + (2*t^5.81)/g1^6 + t^5.87/g1^4 + t^5.94/g1^2 - 3*t^6. - 3*g1^4*t^6.13 - 2*g1^8*t^6.26 - g1^12*t^6.38 - g1^16*t^6.51 + t^6.57/g1^29 + (2*t^6.7)/g1^25 + (3*t^6.83)/g1^21 + t^6.89/g1^19 + (3*t^6.95)/g1^17 - t^7.02/g1^15 + (4*t^7.08)/g1^13 + t^7.15/g1^11 + (5*t^7.21)/g1^9 + (5*t^7.34)/g1^5 + t^7.4/g1^3 + (4*t^7.47)/g1 - g1*t^7.53 + 3*g1^3*t^7.6 + g1^5*t^7.66 + 2*g1^7*t^7.72 - g1^9*t^7.79 + t^7.85/g1^36 + t^7.91/g1^34 + (2*t^7.97)/g1^32 - g1^15*t^7.98 - g1^17*t^8.05 + (4*t^8.1)/g1^28 - g1^19*t^8.11 + (2*t^8.17)/g1^26 + (6*t^8.23)/g1^24 + (3*t^8.29)/g1^22 + (5*t^8.36)/g1^20 + (6*t^8.42)/g1^18 + (4*t^8.49)/g1^16 + (5*t^8.55)/g1^14 + (6*t^8.68)/g1^10 - (7*t^8.74)/g1^8 + (3*t^8.81)/g1^6 - (12*t^8.87)/g1^4 + t^8.94/g1^2 - t^4.47/(g1*y) - t^7.08/(g1^13*y) - t^7.21/(g1^9*y) - t^7.34/(g1^5*y) - t^7.4/(g1^3*y) + (g1*t^7.53)/y + (g1^3*t^7.6)/y + (g1^7*t^7.72)/y + (g1^11*t^7.85)/y + (2*t^8.36)/(g1^20*y) + (3*t^8.49)/(g1^16*y) + t^8.55/(g1^14*y) + (5*t^8.62)/(g1^12*y) + (2*t^8.68)/(g1^10*y) + (3*t^8.74)/(g1^8*y) + (2*t^8.81)/(g1^6*y) + (2*t^8.87)/(g1^4*y) + t^8.94/(g1^2*y) - (t^4.47*y)/g1 - (t^7.08*y)/g1^13 - (t^7.21*y)/g1^9 - (t^7.34*y)/g1^5 - (t^7.4*y)/g1^3 + g1*t^7.53*y + g1^3*t^7.6*y + g1^7*t^7.72*y + g1^11*t^7.85*y + (2*t^8.36*y)/g1^20 + (3*t^8.49*y)/g1^16 + (t^8.55*y)/g1^14 + (5*t^8.62*y)/g1^12 + (2*t^8.68*y)/g1^10 + (3*t^8.74*y)/g1^8 + (2*t^8.81*y)/g1^6 + (2*t^8.87*y)/g1^4 + (t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 6041 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ + $ M_4M_8$ + $ M_9\phi_1q_2^2$ | 0.7277 | 0.9165 | 0.794 | [X:[], M:[1.083, 0.8755, 0.917, 1.0415, 1.0, 0.9585, 0.917, 0.9585, 0.6763], q:[0.5, 0.417], qb:[0.583, 0.5415], phi:[0.4896]] | t^2.03 + t^2.63 + 2*t^2.75 + 2*t^2.88 + t^2.94 + t^3. + t^4.06 + t^4.22 + t^4.34 + 2*t^4.47 + t^4.59 + t^4.66 + 2*t^4.72 + 2*t^4.78 + t^4.84 + 2*t^4.9 + 2*t^4.97 + t^5.03 + t^5.25 + 2*t^5.38 + 4*t^5.5 + t^5.56 + 4*t^5.63 + 2*t^5.69 + 3*t^5.75 + 2*t^5.81 + t^5.88 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2501 | 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_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_1M_7$ | 0.7032 | 0.8682 | 0.8099 | [X:[], M:[1.0751, 0.8874, 0.9249, 1.0375, 1.0, 0.9625, 0.9249], q:[0.5, 0.4249], qb:[0.5751, 0.5375], phi:[0.4906]] | t^2.66 + 2*t^2.77 + t^2.89 + t^2.94 + t^3. + t^3.11 + t^4.02 + t^4.25 + t^4.36 + 2*t^4.47 + t^4.58 + 2*t^4.7 + t^4.81 + t^4.92 + t^5.32 + 2*t^5.44 + 3*t^5.55 + t^5.61 + 2*t^5.66 + 2*t^5.72 + 2*t^5.77 + t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail |