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 |
|---|---|---|---|---|---|---|---|---|---|
| 4372 | 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6879 | 0.8837 | 0.7785 | [X:[], M:[0.7491, 1.0297, 1.1914, 1.132, 0.8086, 0.868, 0.8086, 0.7063], q:[0.4935, 0.7574], qb:[0.3745, 0.434], phi:[0.4851]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-10], [16]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ \phi_1q_1^2$, $ M_1^2$, $ M_5M_8$, $ M_7M_8$, $ M_1M_5$, $ M_1M_7$, $ M_6M_8$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_2M_8$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_6q_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_7$, $ M_4M_8$, $ q_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_4M_5$, $ M_4M_7$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | t^2.12 + t^2.25 + 2*t^2.43 + t^2.6 + t^2.78 + t^3.09 + t^3.4 + t^3.7 + 2*t^4.06 + 2*t^4.24 + t^4.37 + t^4.42 + t^4.49 + 2*t^4.54 + 2*t^4.67 + t^4.72 + 4*t^4.85 + t^4.9 + 3*t^5.03 + 4*t^5.21 + t^5.34 + t^5.39 + 3*t^5.51 + t^5.56 + t^5.69 + t^5.82 + t^5.87 + t^5.95 - 2*t^6. + 2*t^6.13 + t^6.18 + 2*t^6.31 + t^6.36 + 6*t^6.49 + t^6.54 + t^6.61 + 5*t^6.66 + t^6.74 + 2*t^6.79 + 5*t^6.84 + 2*t^6.92 + 2*t^6.97 + 3*t^7.02 + 4*t^7.1 + 2*t^7.15 + t^7.2 + 4*t^7.28 + 4*t^7.33 + t^7.41 + 5*t^7.46 + t^7.51 + t^7.58 + 6*t^7.63 + t^7.68 + 3*t^7.76 + 3*t^7.81 + 4*t^7.94 + 3*t^7.99 - t^8.07 + 2*t^8.12 + t^8.17 + t^8.2 - 2*t^8.25 + 4*t^8.3 + t^8.35 + 2*t^8.38 - 6*t^8.43 + 4*t^8.48 + 5*t^8.55 - t^8.6 + 3*t^8.65 + 5*t^8.73 - t^8.78 + t^8.83 + t^8.86 + 9*t^8.91 + 3*t^8.96 + t^8.99 - t^4.46/y - t^6.57/y - t^6.7/y - t^6.88/y + t^7.37/y + (2*t^7.54)/y + (2*t^7.67)/y + t^7.72/y + (2*t^7.85)/y + t^7.9/y + (4*t^8.03)/y + (4*t^8.21)/y + (2*t^8.34)/y + t^8.39/y + (3*t^8.51)/y + t^8.64/y + (2*t^8.82)/y + t^8.87/y - t^4.46*y - t^6.57*y - t^6.7*y - t^6.88*y + t^7.37*y + 2*t^7.54*y + 2*t^7.67*y + t^7.72*y + 2*t^7.85*y + t^7.9*y + 4*t^8.03*y + 4*t^8.21*y + 2*t^8.34*y + t^8.39*y + 3*t^8.51*y + t^8.64*y + 2*t^8.82*y + t^8.87*y | g1^16*t^2.12 + t^2.25/g1^34 + (2*t^2.43)/g1^10 + g1^14*t^2.6 + g1^38*t^2.78 + g1^12*t^3.09 + t^3.4/g1^14 + t^3.7/g1^40 + 2*g1^8*t^4.06 + 2*g1^32*t^4.24 + t^4.37/g1^18 + g1^56*t^4.42 + t^4.49/g1^68 + 2*g1^6*t^4.54 + (2*t^4.67)/g1^44 + g1^30*t^4.72 + (4*t^4.85)/g1^20 + g1^54*t^4.9 + 3*g1^4*t^5.03 + 4*g1^28*t^5.21 + t^5.34/g1^22 + g1^52*t^5.39 + 3*g1^2*t^5.51 + g1^76*t^5.56 + g1^26*t^5.69 + t^5.82/g1^24 + g1^50*t^5.87 + t^5.95/g1^74 - 2*t^6. + (2*t^6.13)/g1^50 + g1^24*t^6.18 + (2*t^6.31)/g1^26 + g1^48*t^6.36 + (6*t^6.49)/g1^2 + g1^72*t^6.54 + t^6.61/g1^52 + 5*g1^22*t^6.66 + t^6.74/g1^102 + (2*t^6.79)/g1^28 + 5*g1^46*t^6.84 + (2*t^6.92)/g1^78 + (2*t^6.97)/g1^4 + 3*g1^70*t^7.02 + (4*t^7.1)/g1^54 + 2*g1^20*t^7.15 + g1^94*t^7.2 + (4*t^7.28)/g1^30 + 4*g1^44*t^7.33 + t^7.41/g1^80 + (5*t^7.46)/g1^6 + g1^68*t^7.51 + t^7.58/g1^56 + 6*g1^18*t^7.63 + g1^92*t^7.68 + (3*t^7.76)/g1^32 + 3*g1^42*t^7.81 + (4*t^7.94)/g1^8 + 3*g1^66*t^7.99 - t^8.07/g1^58 + 2*g1^16*t^8.12 + g1^90*t^8.17 + t^8.2/g1^108 - (2*t^8.25)/g1^34 + 4*g1^40*t^8.3 + g1^114*t^8.35 + (2*t^8.38)/g1^84 - (6*t^8.43)/g1^10 + 4*g1^64*t^8.48 + (5*t^8.55)/g1^60 - g1^14*t^8.6 + 3*g1^88*t^8.65 + (5*t^8.73)/g1^36 - g1^38*t^8.78 + g1^112*t^8.83 + t^8.86/g1^86 + (9*t^8.91)/g1^12 + 3*g1^62*t^8.96 + t^8.99/g1^136 - t^4.46/(g1^6*y) - (g1^10*t^6.57)/y - t^6.7/(g1^40*y) - t^6.88/(g1^16*y) + t^7.37/(g1^18*y) + (2*g1^6*t^7.54)/y + (2*t^7.67)/(g1^44*y) + (g1^30*t^7.72)/y + (2*t^7.85)/(g1^20*y) + (g1^54*t^7.9)/y + (4*g1^4*t^8.03)/y + (4*g1^28*t^8.21)/y + (2*t^8.34)/(g1^22*y) + (g1^52*t^8.39)/y + (3*g1^2*t^8.51)/y + t^8.64/(g1^48*y) + (2*t^8.82)/(g1^24*y) + (g1^50*t^8.87)/y - (t^4.46*y)/g1^6 - g1^10*t^6.57*y - (t^6.7*y)/g1^40 - (t^6.88*y)/g1^16 + (t^7.37*y)/g1^18 + 2*g1^6*t^7.54*y + (2*t^7.67*y)/g1^44 + g1^30*t^7.72*y + (2*t^7.85*y)/g1^20 + g1^54*t^7.9*y + 4*g1^4*t^8.03*y + 4*g1^28*t^8.21*y + (2*t^8.34*y)/g1^22 + g1^52*t^8.39*y + 3*g1^2*t^8.51*y + (t^8.64*y)/g1^48 + (2*t^8.82*y)/g1^24 + g1^50*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5848 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ + $ M_1X_1$ | 0.6045 | 0.7642 | 0.791 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.7407, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | 2*t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 4*t^5.11 + 2*t^5.33 + 4*t^5.56 + 5*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 7051/11664, c: 4457/5832, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 20/27, M8: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*y | detail |