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 |
|---|---|---|---|---|---|---|---|---|---|
| 53862 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6388 | 0.7929 | 0.8057 | [X:[], M:[1.1508, 0.7263, 0.8492, 0.8082, 1.2328, 0.6853], q:[0.4041, 0.4451], qb:[0.8696, 0.7468], phi:[0.3836]] | [X:[], M:[[12], [18], [-12], [-2], [-8], [28]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ M_5$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_4M_6$, $ M_2M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_1M_2$, $ M_6\phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_1M_4$, $ M_2M_5$, $ M_6\phi_1q_2^2$ | $M_2\phi_1q_2^2$ | 0 | t^2.06 + t^2.18 + t^2.42 + t^2.55 + t^3.45 + t^3.58 + 2*t^3.7 + t^3.82 + t^4.11 + t^4.23 + t^4.36 + t^4.48 + 2*t^4.6 + t^4.73 + 2*t^4.85 + t^4.97 + t^5.09 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 2*t^5.88 + t^6.12 + t^6.17 + 2*t^6.25 + t^6.29 + t^6.37 + t^6.41 + 2*t^6.54 + 2*t^6.66 + 2*t^6.78 + 3*t^6.91 + 2*t^7.03 + 2*t^7.15 + 2*t^7.27 + 2*t^7.4 + t^7.52 + t^7.56 + t^7.64 + 2*t^7.69 + 3*t^7.81 + 2*t^7.93 + t^8.06 + t^8.22 + 2*t^8.3 + t^8.35 - t^8.42 + t^8.47 + 2*t^8.59 + 3*t^8.72 + t^8.79 + 2*t^8.84 + t^8.92 + 4*t^8.96 - t^4.15/y - t^6.21/y - t^6.33/y - t^6.58/y + t^7.23/y + t^7.48/y + (2*t^7.6)/y + (2*t^7.73)/y + (2*t^7.97)/y + t^8.09/y - t^8.26/y - t^8.39/y + t^8.63/y + (2*t^8.75)/y + (4*t^8.88)/y - t^4.15*y - t^6.21*y - t^6.33*y - t^6.58*y + t^7.23*y + t^7.48*y + 2*t^7.6*y + 2*t^7.73*y + 2*t^7.97*y + t^8.09*y - t^8.26*y - t^8.39*y + t^8.63*y + 2*t^8.75*y + 4*t^8.88*y | g1^28*t^2.06 + g1^18*t^2.18 + t^2.42/g1^2 + t^2.55/g1^12 + g1^12*t^3.45 + g1^2*t^3.58 + (2*t^3.7)/g1^8 + t^3.82/g1^18 + g1^56*t^4.11 + g1^46*t^4.23 + g1^36*t^4.36 + g1^26*t^4.48 + 2*g1^16*t^4.6 + g1^6*t^4.73 + (2*t^4.85)/g1^4 + t^4.97/g1^14 + t^5.09/g1^24 + g1^40*t^5.51 + 2*g1^30*t^5.63 + 2*g1^20*t^5.75 + 2*g1^10*t^5.88 + t^6.12/g1^10 + g1^84*t^6.17 + (2*t^6.25)/g1^20 + g1^74*t^6.29 + t^6.37/g1^30 + g1^64*t^6.41 + 2*g1^54*t^6.54 + 2*g1^44*t^6.66 + 2*g1^34*t^6.78 + 3*g1^24*t^6.91 + 2*g1^14*t^7.03 + 2*g1^4*t^7.15 + (2*t^7.27)/g1^6 + (2*t^7.4)/g1^16 + t^7.52/g1^26 + g1^68*t^7.56 + t^7.64/g1^36 + 2*g1^58*t^7.69 + 3*g1^48*t^7.81 + 2*g1^38*t^7.93 + g1^28*t^8.06 + g1^112*t^8.22 + 2*g1^8*t^8.3 + g1^102*t^8.35 - t^8.42/g1^2 + g1^92*t^8.47 + 2*g1^82*t^8.59 + 3*g1^72*t^8.72 + t^8.79/g1^32 + 2*g1^62*t^8.84 + t^8.92/g1^42 + 4*g1^52*t^8.96 - (g1^4*t^4.15)/y - (g1^32*t^6.21)/y - (g1^22*t^6.33)/y - (g1^2*t^6.58)/y + (g1^46*t^7.23)/y + (g1^26*t^7.48)/y + (2*g1^16*t^7.6)/y + (2*g1^6*t^7.73)/y + (2*t^7.97)/(g1^14*y) + t^8.09/(g1^24*y) - (g1^60*t^8.26)/y - (g1^50*t^8.39)/y + (g1^30*t^8.63)/y + (2*g1^20*t^8.75)/y + (4*g1^10*t^8.88)/y - g1^4*t^4.15*y - g1^32*t^6.21*y - g1^22*t^6.33*y - g1^2*t^6.58*y + g1^46*t^7.23*y + g1^26*t^7.48*y + 2*g1^16*t^7.6*y + 2*g1^6*t^7.73*y + (2*t^7.97*y)/g1^14 + (t^8.09*y)/g1^24 - g1^60*t^8.26*y - g1^50*t^8.39*y + g1^30*t^8.63*y + 2*g1^20*t^8.75*y + 4*g1^10*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56500 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.6523 | 0.8156 | 0.7998 | [X:[], M:[1.1605, 0.7407, 0.8395, 0.8066, 1.2264, 0.7077, 0.8395], q:[0.4033, 0.4362], qb:[0.856, 0.7572], phi:[0.3868]] | t^2.12 + t^2.22 + t^2.42 + 2*t^2.52 + t^3.58 + 2*t^3.68 + t^3.78 + t^4.25 + t^4.35 + t^4.44 + t^4.54 + 3*t^4.64 + 2*t^4.74 + 2*t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.7 + 2*t^5.8 + t^5.9 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 56495 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.5775 | 0.7204 | 0.8017 | [X:[], M:[1.2857, 0.9286, 0.7143, 0.7857, 1.1429, 1.0], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]] | t^2.14 + t^2.36 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 2*t^4.71 + t^4.93 + 2*t^5.14 + 2*t^5.36 + 3*t^5.57 + 2*t^5.79 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 6339/10976, c: 7907/10976, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 8/7, M6: 1, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7} |
| 56501 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6588 | 0.8309 | 0.7928 | [X:[], M:[1.1456, 0.7184, 0.8544, 0.8091, 1.2363, 0.673, 0.7184], q:[0.4045, 0.4499], qb:[0.8771, 0.741], phi:[0.3819]] | t^2.02 + 2*t^2.16 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + 2*t^3.71 + t^4.04 + 2*t^4.17 + 3*t^4.31 + t^4.45 + 3*t^4.58 + 2*t^4.72 + 2*t^4.85 + t^4.99 + t^5.13 + t^5.46 + 3*t^5.59 + 3*t^5.73 + 3*t^5.86 - t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48204 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ | 0.6181 | 0.7529 | 0.821 | [X:[], M:[1.1559, 0.7339, 0.8441, 0.8073, 1.2294], q:[0.4037, 0.4404], qb:[0.8625, 0.7522], phi:[0.3853]] | t^2.2 + t^2.42 + t^2.53 + t^3.47 + t^3.58 + 2*t^3.69 + t^3.8 + t^3.91 + t^4.4 + t^4.62 + t^4.73 + 2*t^4.84 + t^4.95 + t^5.06 + t^5.67 + t^5.89 - t^4.16/y - t^4.16*y | detail |