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 |
|---|---|---|---|---|---|---|---|---|---|
| 4415 | 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_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ | 0.6601 | 0.8316 | 0.7938 | [X:[], M:[0.8702, 1.0316, 1.0667, 0.807, 1.1298, 1.193, 0.807, 0.7719], q:[0.7579, 0.3719], qb:[0.4351, 0.4983], phi:[0.4842]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [-10], [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_7$, $ M_1$, $ M_2$, $ M_3$, $ M_5$, $ 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_7M_8$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_1M_8$, $ M_1M_4$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ M_2M_4$, $ M_2M_7$, $ M_3M_8$, $ M_3M_4$, $ M_3M_7$, $ M_1M_2$, $ M_5M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$ | . | -2 | t^2.32 + 2*t^2.42 + t^2.61 + t^3.09 + t^3.2 + t^3.39 + t^3.77 + t^3.87 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.63 + 2*t^4.74 + 3*t^4.84 + t^4.93 + 2*t^5.03 + t^5.22 + t^5.41 + 3*t^5.52 + t^5.62 + 2*t^5.71 + t^5.81 - 2*t^6. + t^6.08 + t^6.19 + 2*t^6.29 + 2*t^6.38 + t^6.4 + 4*t^6.48 + t^6.57 + t^6.59 + 2*t^6.67 + t^6.76 - t^6.78 + 3*t^6.86 + t^6.95 + 3*t^7.05 + 3*t^7.16 + t^7.24 + 4*t^7.26 + 2*t^7.35 + 2*t^7.45 + 2*t^7.54 + t^7.64 + t^7.73 + 4*t^7.83 + 4*t^7.94 + 2*t^8.02 + t^8.04 + 4*t^8.13 + t^8.21 + t^8.4 - 5*t^8.42 + 3*t^8.51 - t^8.61 + 3*t^8.69 + 3*t^8.72 + 2*t^8.8 + t^8.82 + 2*t^8.88 + 5*t^8.91 + 2*t^8.99 - t^4.45/y - t^6.77/y - t^6.87/y + t^7.25/y - t^7.65/y + (2*t^7.74)/y + t^7.84/y + t^7.93/y + (3*t^8.03)/y + t^8.14/y + t^8.41/y + (3*t^8.52)/y + (2*t^8.62)/y + (2*t^8.71)/y + (3*t^8.81)/y - t^4.45*y - t^6.77*y - t^6.87*y + t^7.25*y - t^7.65*y + 2*t^7.74*y + t^7.84*y + t^7.93*y + 3*t^8.03*y + t^8.14*y + t^8.41*y + 3*t^8.52*y + 2*t^8.62*y + 2*t^8.71*y + 3*t^8.81*y | g1^40*t^2.32 + (2*t^2.42)/g1^10 + g1^14*t^2.61 + g1^12*t^3.09 + t^3.2/g1^38 + t^3.39/g1^14 + g1^34*t^3.77 + t^3.87/g1^16 + 2*g1^8*t^4.06 + g1^32*t^4.25 + g1^56*t^4.44 + g1^80*t^4.63 + 2*g1^30*t^4.74 + (3*t^4.84)/g1^20 + g1^54*t^4.93 + 2*g1^4*t^5.03 + g1^28*t^5.22 + g1^52*t^5.41 + 3*g1^2*t^5.52 + t^5.62/g1^48 + 2*g1^26*t^5.71 + t^5.81/g1^24 - 2*t^6. + g1^74*t^6.08 + g1^24*t^6.19 + (2*t^6.29)/g1^26 + 2*g1^48*t^6.38 + t^6.4/g1^76 + (4*t^6.48)/g1^2 + g1^72*t^6.57 + t^6.59/g1^52 + 2*g1^22*t^6.67 + g1^96*t^6.76 - t^6.78/g1^28 + 3*g1^46*t^6.86 + g1^120*t^6.95 + 3*g1^70*t^7.05 + 3*g1^20*t^7.16 + g1^94*t^7.24 + (4*t^7.26)/g1^30 + 2*g1^44*t^7.35 + (2*t^7.45)/g1^6 + 2*g1^68*t^7.54 + g1^18*t^7.64 + g1^92*t^7.73 + 4*g1^42*t^7.83 + (4*t^7.94)/g1^8 + 2*g1^66*t^8.02 + t^8.04/g1^58 + 4*g1^16*t^8.13 + g1^90*t^8.21 + g1^114*t^8.4 - (5*t^8.42)/g1^10 + 3*g1^64*t^8.51 - g1^14*t^8.61 + 3*g1^88*t^8.69 + (3*t^8.72)/g1^36 + 2*g1^38*t^8.8 + t^8.82/g1^86 + 2*g1^112*t^8.88 + (5*t^8.91)/g1^12 + 2*g1^62*t^8.99 - t^4.45/(g1^6*y) - (g1^34*t^6.77)/y - t^6.87/(g1^16*y) + (g1^32*t^7.25)/y - t^7.65/(g1^44*y) + (2*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) + (g1^52*t^8.41)/y + (3*g1^2*t^8.52)/y + (2*t^8.62)/(g1^48*y) + (2*g1^26*t^8.71)/y + (3*t^8.81)/(g1^24*y) - (t^4.45*y)/g1^6 - g1^34*t^6.77*y - (t^6.87*y)/g1^16 + g1^32*t^7.25*y - (t^7.65*y)/g1^44 + 2*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 + g1^52*t^8.41*y + 3*g1^2*t^8.52*y + (2*t^8.62*y)/g1^48 + 2*g1^26*t^8.71*y + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 5926 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_1M_8$ | 0.6011 | 0.7585 | 0.7925 | [X:[], M:[0.963, 1.1111, 0.8148, 0.7407, 1.037, 1.2593, 0.7407, 1.037], q:[0.7778, 0.2593], qb:[0.4815, 0.7037], phi:[0.4444]] | 2*t^2.22 + t^2.44 + t^2.89 + 2*t^3.11 + t^3.33 + t^3.56 + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 2*t^5.11 + 3*t^5.33 + 5*t^5.56 + 3*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 2629/4374, c: 6635/8748, M1: 26/27, M2: 10/9, M3: 22/27, M4: 20/27, M5: 28/27, M6: 34/27, M7: 20/27, M8: 28/27, q1: 7/9, q2: 7/27, qb1: 13/27, qb2: 19/27, phi1: 4/9} |
| 5918 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.6159 | 0.7753 | 0.7944 | [X:[], M:[0.95, 1.1, 0.85, 0.75, 1.05, 1.25, 0.75, 1.0], q:[0.775, 0.275], qb:[0.475, 0.675], phi:[0.45]] | 2*t^2.25 + t^2.55 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.8 + 3*t^5.1 + 2*t^5.25 + 2*t^5.4 + 3*t^5.55 + 2*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 157671/256000, c: 198471/256000, M1: 19/20, M2: 11/10, M3: 17/20, M4: 3/4, M5: 21/20, M6: 5/4, M7: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2391 | 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_6M_7$ + $ \phi_1q_1^2$ | 0.643 | 0.8005 | 0.8032 | [X:[], M:[0.8823, 1.042, 1.0337, 0.7983, 1.1177, 1.2017, 0.7983], q:[0.7605, 0.3572], qb:[0.4412, 0.5251], phi:[0.479]] | 2*t^2.4 + t^2.65 + t^3.1 + t^3.13 + t^3.35 + t^3.58 + t^3.83 + t^3.86 + 2*t^4.08 + t^4.34 + t^4.59 + 3*t^4.79 + 2*t^5.04 + t^5.29 + t^5.5 + 2*t^5.52 + t^5.75 + t^5.77 + 2*t^5.98 - 2*t^6. - t^4.44/y - t^4.44*y | detail |