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 |
|---|---|---|---|---|---|---|---|---|---|
| 4411 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ | 0.6326 | 0.7835 | 0.8073 | [X:[], M:[0.8726, 1.0337, 1.0601, 0.8053, 1.1274, 1.1947, 1.1274, 0.7789], q:[0.7584, 0.369], qb:[0.4363, 0.5036], phi:[0.4832]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [-14], [40]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_2$, $ M_3$, $ M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_8^2$, $ M_4M_8$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_2M_8$, $ M_2M_4$, $ M_3M_8$, $ M_5M_8$, $ M_7M_8$, $ M_6M_8$ | . | -2 | t^2.34 + t^2.42 + t^3.1 + t^3.18 + 2*t^3.38 + t^3.58 + t^3.79 + t^3.87 + 2*t^4.07 + t^4.27 + t^4.47 + t^4.67 + t^4.75 + t^4.83 + t^5.44 + 2*t^5.52 + 2*t^5.72 + t^5.92 - 2*t^6. + t^6.12 + t^6.28 + t^6.36 + t^6.4 + 2*t^6.48 + 2*t^6.56 + t^6.61 + 2*t^6.76 + t^6.81 + t^6.89 + 2*t^6.97 + t^7.01 + t^7.09 + 3*t^7.17 + 2*t^7.25 + t^7.37 + 2*t^7.45 + t^7.57 + 2*t^7.65 + t^7.77 + 4*t^7.85 + t^7.93 + 3*t^8.06 + t^8.13 + 2*t^8.26 - t^8.34 - 2*t^8.42 + t^8.46 + 2*t^8.54 + t^8.7 + 2*t^8.74 + t^8.82 + 2*t^8.9 + 2*t^8.94 - t^8.98 - t^4.45/y - t^6.79/y + t^7.07/y + t^7.27/y - t^7.63/y + t^7.75/y - t^7.83/y + t^8.11/y + t^8.44/y + (2*t^8.52)/y + t^8.6/y + (2*t^8.72)/y + (2*t^8.8)/y + t^8.92/y - t^4.45*y - t^6.79*y + t^7.07*y + t^7.27*y - t^7.63*y + t^7.75*y - t^7.83*y + t^8.11*y + t^8.44*y + 2*t^8.52*y + t^8.6*y + 2*t^8.72*y + 2*t^8.8*y + t^8.92*y | g1^40*t^2.34 + t^2.42/g1^10 + g1^12*t^3.1 + t^3.18/g1^38 + (2*t^3.38)/g1^14 + g1^10*t^3.58 + g1^34*t^3.79 + t^3.87/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.27 + g1^56*t^4.47 + g1^80*t^4.67 + g1^30*t^4.75 + t^4.83/g1^20 + g1^52*t^5.44 + 2*g1^2*t^5.52 + 2*g1^26*t^5.72 + g1^50*t^5.92 - 2*t^6. + g1^74*t^6.12 + t^6.28/g1^26 + t^6.36/g1^76 + g1^48*t^6.4 + (2*t^6.48)/g1^2 + (2*t^6.56)/g1^52 + g1^72*t^6.61 + (2*t^6.76)/g1^28 + g1^96*t^6.81 + g1^46*t^6.89 + (2*t^6.97)/g1^4 + g1^120*t^7.01 + g1^70*t^7.09 + 3*g1^20*t^7.17 + (2*t^7.25)/g1^30 + g1^44*t^7.37 + (2*t^7.45)/g1^6 + g1^68*t^7.57 + 2*g1^18*t^7.65 + g1^92*t^7.77 + 4*g1^42*t^7.85 + t^7.93/g1^8 + 3*g1^66*t^8.06 + g1^16*t^8.13 + 2*g1^90*t^8.26 - g1^40*t^8.34 - (2*t^8.42)/g1^10 + g1^114*t^8.46 + 2*g1^64*t^8.54 + t^8.7/g1^36 + 2*g1^88*t^8.74 + g1^38*t^8.82 + (2*t^8.9)/g1^12 + 2*g1^112*t^8.94 - t^8.98/g1^62 - t^4.45/(g1^6*y) - (g1^34*t^6.79)/y + (g1^8*t^7.07)/y + (g1^32*t^7.27)/y - t^7.63/(g1^44*y) + (g1^30*t^7.75)/y - t^7.83/(g1^20*y) + t^8.11/(g1^46*y) + (g1^52*t^8.44)/y + (2*g1^2*t^8.52)/y + t^8.6/(g1^48*y) + (2*g1^26*t^8.72)/y + (2*t^8.8)/(g1^24*y) + (g1^50*t^8.92)/y - (t^4.45*y)/g1^6 - g1^34*t^6.79*y + g1^8*t^7.07*y + g1^32*t^7.27*y - (t^7.63*y)/g1^44 + g1^30*t^7.75*y - (t^7.83*y)/g1^20 + (t^8.11*y)/g1^46 + g1^52*t^8.44*y + 2*g1^2*t^8.52*y + (t^8.6*y)/g1^48 + 2*g1^26*t^8.72*y + (2*t^8.8*y)/g1^24 + g1^50*t^8.92*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5913 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.5922 | 0.7328 | 0.8081 | [X:[], M:[0.95, 1.1, 0.85, 0.75, 1.05, 1.25, 1.05, 1.0], q:[0.775, 0.275], qb:[0.475, 0.675], phi:[0.45]] | t^2.25 + t^2.55 + t^3. + 2*t^3.15 + t^3.3 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^5.1 + t^5.25 + t^5.4 + 2*t^5.55 + 2*t^5.7 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 30321/51200, c: 37521/51200, M1: 19/20, M2: 11/10, M3: 17/20, M4: 3/4, M5: 21/20, M6: 5/4, M7: 21/20, M8: 1, q1: 31/40, q2: 11/40, qb1: 19/40, qb2: 27/40, phi1: 9/20} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2389 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_1M_7$ + $ \phi_1q_1^2$ | 0.6159 | 0.7536 | 0.8172 | [X:[], M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.39 + t^3.07 + t^3.13 + 2*t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.52 + t^5.94 - 2*t^6. - t^4.43/y - t^4.43*y | detail |