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 |
|---|---|---|---|---|---|---|---|---|---|
| 2992 | 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_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6748 | 0.8603 | 0.7844 | [X:[], M:[1.193, 0.7437, 0.807, 1.1297, 0.8703, 0.7089], q:[0.4351, 0.3718], qb:[0.7579, 0.4984], phi:[0.4842]] | [X:[], M:[[10], [-34], [-10], [-14], [14], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_3M_6$, $ M_2M_3$, $ M_5M_6$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_3M_5$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_4M_6$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_1M_6$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_6\phi_1q_2^2$, $ M_2\phi_1q_2^2$ | . | -1 | t^2.13 + t^2.23 + t^2.42 + t^2.61 + t^2.8 + t^2.91 + t^3.39 + t^3.58 + t^3.68 + 2*t^4.06 + 2*t^4.25 + t^4.36 + t^4.44 + t^4.46 + t^4.55 + t^4.65 + t^4.74 + 2*t^4.84 + t^4.93 + 3*t^5.03 + t^5.14 + 2*t^5.22 + t^5.33 + t^5.41 + 2*t^5.52 + t^5.6 + 2*t^5.71 + 2*t^5.81 + t^5.91 - t^6. + t^6.1 + t^6.19 + 3*t^6.29 + 2*t^6.38 + 4*t^6.48 + t^6.57 + 2*t^6.59 + 3*t^6.67 + t^6.69 + 4*t^6.86 + t^6.88 + 3*t^6.97 + 3*t^7.05 + 2*t^7.07 + 2*t^7.16 + t^7.24 + 2*t^7.26 + 2*t^7.35 + 2*t^7.37 + 2*t^7.45 + t^7.56 + 4*t^7.64 + t^7.73 + 3*t^7.75 + 4*t^7.83 + 3*t^7.94 + 2*t^8.02 + t^8.04 + 2*t^8.13 + t^8.15 + t^8.21 - t^8.23 + 2*t^8.32 + t^8.34 + t^8.4 - t^8.42 + 5*t^8.51 + 3*t^8.53 + 2*t^8.7 + 5*t^8.72 - t^8.8 + 2*t^8.82 + t^8.89 + 2*t^8.91 + t^8.92 + 2*t^8.99 - t^4.45/y - t^6.58/y - t^6.68/y + (2*t^7.55)/y + t^7.65/y + t^7.74/y + t^7.84/y + t^7.93/y + (3*t^8.03)/y + t^8.14/y + (2*t^8.22)/y + (2*t^8.33)/y + t^8.41/y + (2*t^8.52)/y + t^8.62/y + t^8.71/y + (2*t^8.81)/y - t^4.45*y - t^6.58*y - t^6.68*y + 2*t^7.55*y + t^7.65*y + t^7.74*y + t^7.84*y + t^7.93*y + 3*t^8.03*y + t^8.14*y + 2*t^8.22*y + 2*t^8.33*y + t^8.41*y + 2*t^8.52*y + t^8.62*y + t^8.71*y + 2*t^8.81*y | g1^16*t^2.13 + t^2.23/g1^34 + t^2.42/g1^10 + g1^14*t^2.61 + g1^38*t^2.8 + t^2.91/g1^12 + t^3.39/g1^14 + g1^10*t^3.58 + t^3.68/g1^40 + 2*g1^8*t^4.06 + 2*g1^32*t^4.25 + t^4.36/g1^18 + g1^56*t^4.44 + t^4.46/g1^68 + g1^6*t^4.55 + t^4.65/g1^44 + g1^30*t^4.74 + (2*t^4.84)/g1^20 + g1^54*t^4.93 + 3*g1^4*t^5.03 + t^5.14/g1^46 + 2*g1^28*t^5.22 + t^5.33/g1^22 + g1^52*t^5.41 + 2*g1^2*t^5.52 + g1^76*t^5.6 + 2*g1^26*t^5.71 + (2*t^5.81)/g1^24 + t^5.91/g1^74 - t^6. + t^6.1/g1^50 + g1^24*t^6.19 + (3*t^6.29)/g1^26 + 2*g1^48*t^6.38 + (4*t^6.48)/g1^2 + g1^72*t^6.57 + (2*t^6.59)/g1^52 + 3*g1^22*t^6.67 + t^6.69/g1^102 + 4*g1^46*t^6.86 + t^6.88/g1^78 + (3*t^6.97)/g1^4 + 3*g1^70*t^7.05 + (2*t^7.07)/g1^54 + 2*g1^20*t^7.16 + g1^94*t^7.24 + (2*t^7.26)/g1^30 + 2*g1^44*t^7.35 + (2*t^7.37)/g1^80 + (2*t^7.45)/g1^6 + t^7.56/g1^56 + 4*g1^18*t^7.64 + g1^92*t^7.73 + (3*t^7.75)/g1^32 + 4*g1^42*t^7.83 + (3*t^7.94)/g1^8 + 2*g1^66*t^8.02 + t^8.04/g1^58 + 2*g1^16*t^8.13 + t^8.15/g1^108 + g1^90*t^8.21 - t^8.23/g1^34 + 2*g1^40*t^8.32 + t^8.34/g1^84 + g1^114*t^8.4 - t^8.42/g1^10 + 5*g1^64*t^8.51 + (3*t^8.53)/g1^60 + 2*g1^88*t^8.7 + (5*t^8.72)/g1^36 - g1^38*t^8.8 + (2*t^8.82)/g1^86 + g1^112*t^8.89 + (2*t^8.91)/g1^12 + t^8.92/g1^136 + 2*g1^62*t^8.99 - t^4.45/(g1^6*y) - (g1^10*t^6.58)/y - t^6.68/(g1^40*y) + (2*g1^6*t^7.55)/y + t^7.65/(g1^44*y) + (g1^30*t^7.74)/y + t^7.84/(g1^20*y) + (g1^54*t^7.93)/y + (3*g1^4*t^8.03)/y + t^8.14/(g1^46*y) + (2*g1^28*t^8.22)/y + (2*t^8.33)/(g1^22*y) + (g1^52*t^8.41)/y + (2*g1^2*t^8.52)/y + t^8.62/(g1^48*y) + (g1^26*t^8.71)/y + (2*t^8.81)/(g1^24*y) - (t^4.45*y)/g1^6 - g1^10*t^6.58*y - (t^6.68*y)/g1^40 + 2*g1^6*t^7.55*y + (t^7.65*y)/g1^44 + g1^30*t^7.74*y + (t^7.84*y)/g1^20 + g1^54*t^7.93*y + 3*g1^4*t^8.03*y + (t^8.14*y)/g1^46 + 2*g1^28*t^8.22*y + (2*t^8.33*y)/g1^22 + g1^52*t^8.41*y + 2*g1^2*t^8.52*y + (t^8.62*y)/g1^48 + g1^26*t^8.71*y + (2*t^8.81*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3617 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_1$ | 0.5951 | 0.7456 | 0.7982 | [X:[1.4815], M:[1.2593, 0.5185, 0.7407, 1.037, 0.963, 0.8148], q:[0.4815, 0.2593], qb:[0.7778, 0.7037], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.67 + 2*t^2.89 + t^3.11 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 3*t^4.89 + 3*t^5.11 + 2*t^5.33 + 4*t^5.56 + 4*t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 20825/34992, c: 13045/17496, X1: 40/27, M1: 34/27, M2: 14/27, M3: 20/27, M4: 28/27, M5: 26/27, M6: 22/27, q1: 13/27, q2: 7/27, qb1: 7/9, qb2: 19/27, phi1: 4/9} |
| 3612 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.6706 | 0.8539 | 0.7854 | [X:[], M:[1.2047, 0.7041, 0.7953, 1.1134, 0.8866, 0.7275, 1.0222], q:[0.4433, 0.352], qb:[0.7614, 0.5345], phi:[0.4772]] | t^2.11 + t^2.18 + t^2.39 + t^2.66 + t^2.86 + t^3.07 + t^3.34 + t^3.54 + t^3.61 + 2*t^4.09 + t^4.22 + t^4.29 + 2*t^4.36 + t^4.5 + t^4.57 + t^4.64 + 2*t^4.77 + t^4.84 + t^4.98 + 2*t^5.05 + t^5.18 + 2*t^5.25 + t^5.32 + t^5.45 + 2*t^5.52 + t^5.66 + 3*t^5.73 + t^5.8 + 2*t^5.93 - t^6. - t^4.43/y - t^4.43*y | detail | |
| 3610 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_1q_2$ + $ q_1^2\tilde{q}_2^2$ | 0.6701 | 0.8543 | 0.7844 | [X:[], M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.7368], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.05 + t^2.21 + t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.47 + t^3.63 + 3*t^4.11 + t^4.26 + 3*t^4.42 + t^4.58 + 3*t^4.74 + 2*t^4.89 + 3*t^5.05 + 2*t^5.21 + 2*t^5.37 + 3*t^5.53 + 3*t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 36771/54872, c: 46879/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 14/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1948 | 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_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6544 | 0.8218 | 0.7964 | [X:[], M:[1.1943, 0.7395, 0.8057, 1.128, 0.872], q:[0.436, 0.3698], qb:[0.7583, 0.5022], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.62 + t^2.81 + t^2.9 + t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + 2*t^4.83 + 2*t^5.03 + t^5.12 + 2*t^5.23 + t^5.32 + t^5.43 + t^5.52 + t^5.63 + t^5.72 + t^5.8 + t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail |