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 |
|---|---|---|---|---|---|---|---|---|---|
| 5200 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ | 0.6429 | 0.8484 | 0.7578 | [X:[], M:[0.9528, 1.1415, 0.9528, 0.7642, 0.7122, 0.8585, 0.8065, 1.1415], q:[0.7382, 0.3089], qb:[0.4032, 0.4553], phi:[0.5236]] | [X:[], M:[[4], [-12], [4], [20], [-18], [12], [-26], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ M_3$, $ M_2$, $ M_8$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_7q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_7$, $ M_2M_5$, $ M_5M_8$, $ M_5\phi_1q_2^2$, $ M_8q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_2M_4$, $ M_4M_8$, $ M_4\phi_1q_2^2$, $ M_8q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_7$, $ M_7M_8$, $ M_7\phi_1q_2^2$ | . | -4 | 2*t^2.14 + 2*t^2.29 + t^2.42 + 2*t^2.86 + 3*t^3.42 + t^3.99 + t^4.15 + 3*t^4.27 + t^4.3 + 4*t^4.43 + 2*t^4.56 + 3*t^4.59 + 2*t^4.71 + t^4.84 + 4*t^5. + 4*t^5.15 + 2*t^5.28 + 5*t^5.56 + 7*t^5.72 + 2*t^5.84 - 4*t^6. + 2*t^6.13 - t^6.16 + 6*t^6.28 + 5*t^6.41 + 2*t^6.44 + 5*t^6.57 + 2*t^6.6 + 3*t^6.69 + 5*t^6.72 + 9*t^6.85 + 4*t^6.88 + 2*t^6.98 + 2*t^7. + 6*t^7.13 + t^7.16 + t^7.26 + 4*t^7.29 + 5*t^7.41 + 5*t^7.44 + 2*t^7.57 + 9*t^7.7 + 9*t^7.85 + 4*t^7.98 + 8*t^8.01 - 2*t^8.14 + 5*t^8.26 - 9*t^8.29 + 5*t^8.42 - t^8.45 + 7*t^8.55 + 9*t^8.58 + t^8.61 + 8*t^8.7 + 3*t^8.73 + 5*t^8.83 - 4*t^8.86 + 3*t^8.89 + 13*t^8.99 - t^4.57/y - t^6.71/y - t^6.86/y - t^6.99/y + t^7.15/y + t^7.27/y + (3*t^7.43)/y + (2*t^7.56)/y + t^7.59/y + (3*t^7.71)/y + (3*t^8.)/y + (5*t^8.15)/y + (3*t^8.28)/y + t^8.43/y + (6*t^8.56)/y + (7*t^8.72)/y + (2*t^8.84)/y - t^4.57*y - t^6.71*y - t^6.86*y - t^6.99*y + t^7.15*y + t^7.27*y + 3*t^7.43*y + 2*t^7.56*y + t^7.59*y + 3*t^7.71*y + 3*t^8.*y + 5*t^8.15*y + 3*t^8.28*y + t^8.43*y + 6*t^8.56*y + 7*t^8.72*y + 2*t^8.84*y | (2*t^2.14)/g1^18 + 2*g1^20*t^2.29 + t^2.42/g1^26 + 2*g1^4*t^2.86 + (3*t^3.42)/g1^12 + t^3.99/g1^28 + g1^10*t^4.15 + (3*t^4.27)/g1^36 + g1^48*t^4.3 + 4*g1^2*t^4.43 + (2*t^4.56)/g1^44 + 3*g1^40*t^4.59 + (2*t^4.71)/g1^6 + t^4.84/g1^52 + (4*t^5.)/g1^14 + 4*g1^24*t^5.15 + (2*t^5.28)/g1^22 + (5*t^5.56)/g1^30 + 7*g1^8*t^5.72 + (2*t^5.84)/g1^38 - 4*t^6. + (2*t^6.13)/g1^46 - g1^38*t^6.16 + (6*t^6.28)/g1^8 + (5*t^6.41)/g1^54 + 2*g1^30*t^6.44 + (5*t^6.57)/g1^16 + 2*g1^68*t^6.6 + (3*t^6.69)/g1^62 + 5*g1^22*t^6.72 + (9*t^6.85)/g1^24 + 4*g1^60*t^6.88 + (2*t^6.98)/g1^70 + 2*g1^14*t^7. + (6*t^7.13)/g1^32 + g1^52*t^7.16 + t^7.26/g1^78 + 4*g1^6*t^7.29 + (5*t^7.41)/g1^40 + 5*g1^44*t^7.44 + (2*t^7.57)/g1^2 + (9*t^7.7)/g1^48 + (9*t^7.85)/g1^10 + (4*t^7.98)/g1^56 + 8*g1^28*t^8.01 - (2*t^8.14)/g1^18 + (5*t^8.26)/g1^64 - 9*g1^20*t^8.29 + (5*t^8.42)/g1^26 - g1^58*t^8.45 + (7*t^8.55)/g1^72 + 9*g1^12*t^8.58 + g1^96*t^8.61 + (8*t^8.7)/g1^34 + 3*g1^50*t^8.73 + (5*t^8.83)/g1^80 - 4*g1^4*t^8.86 + 3*g1^88*t^8.89 + (13*t^8.99)/g1^42 - t^4.57/(g1^2*y) - t^6.71/(g1^20*y) - (g1^18*t^6.86)/y - t^6.99/(g1^28*y) + (g1^10*t^7.15)/y + t^7.27/(g1^36*y) + (3*g1^2*t^7.43)/y + (2*t^7.56)/(g1^44*y) + (g1^40*t^7.59)/y + (3*t^7.71)/(g1^6*y) + (3*t^8.)/(g1^14*y) + (5*g1^24*t^8.15)/y + (3*t^8.28)/(g1^22*y) + (g1^16*t^8.43)/y + (6*t^8.56)/(g1^30*y) + (7*g1^8*t^8.72)/y + (2*t^8.84)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.71*y)/g1^20 - g1^18*t^6.86*y - (t^6.99*y)/g1^28 + g1^10*t^7.15*y + (t^7.27*y)/g1^36 + 3*g1^2*t^7.43*y + (2*t^7.56*y)/g1^44 + g1^40*t^7.59*y + (3*t^7.71*y)/g1^6 + (3*t^8.*y)/g1^14 + 5*g1^24*t^8.15*y + (3*t^8.28*y)/g1^22 + g1^16*t^8.43*y + (6*t^8.56*y)/g1^30 + 7*g1^8*t^8.72*y + (2*t^8.84*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6750 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6637 | 0.8898 | 0.7459 | [X:[], M:[0.9528, 1.1417, 0.9528, 0.7638, 0.7126, 0.8583, 0.807, 1.1417, 0.6694], q:[0.7382, 0.309], qb:[0.4035, 0.4548], phi:[0.5236]] | t^2.01 + 2*t^2.14 + 2*t^2.29 + t^2.42 + 2*t^2.86 + 3*t^3.43 + t^4.02 + 3*t^4.15 + 3*t^4.28 + 3*t^4.3 + 5*t^4.43 + 2*t^4.56 + 3*t^4.58 + 2*t^4.71 + t^4.84 + 2*t^4.87 + 4*t^5. + 4*t^5.15 + 2*t^5.28 + 3*t^5.43 + 5*t^5.56 + 7*t^5.72 + 2*t^5.85 - 4*t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3523 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6555 | 0.8697 | 0.7537 | [X:[], M:[0.9511, 1.1467, 0.9511, 0.7555, 0.7201, 0.8533, 0.8179], q:[0.7378, 0.3111], qb:[0.4089, 0.4443], phi:[0.5245]] | 2*t^2.16 + 2*t^2.27 + t^2.45 + t^2.56 + 2*t^2.85 + 2*t^3.44 + t^4.03 + t^4.13 + t^4.24 + 3*t^4.32 + 4*t^4.43 + 3*t^4.53 + 2*t^4.61 + 4*t^4.72 + 2*t^4.83 + t^4.91 + 5*t^5.01 + 5*t^5.12 + 2*t^5.31 + 2*t^5.41 + 3*t^5.6 + 5*t^5.71 + t^5.89 - 2*t^6. - t^4.57/y - t^4.57*y | detail |