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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[4], [-12], [4], [20], [-18], [12], [-26]], 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_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ 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_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_1$, $ M_5M_6$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_5$, $ M_3M_5$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_7$, $ M_1M_6$, $ M_3M_6$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_7$, $ M_7\phi_1q_2^2$ | $M_6\phi_1q_2^2$ | -2 | 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^6.11 + 2*t^6.19 + 4*t^6.29 + 2*t^6.4 + 5*t^6.48 + 2*t^6.51 + 6*t^6.59 + 6*t^6.69 + 3*t^6.77 + 5*t^6.8 + 9*t^6.88 + 6*t^6.99 + 2*t^7.07 + 4*t^7.09 + 8*t^7.17 + 8*t^7.28 + t^7.36 + 7*t^7.39 + 5*t^7.47 + 6*t^7.57 + 4*t^7.68 + 6*t^7.76 + 7*t^7.87 + 7*t^7.97 + 2*t^8.05 - t^8.16 - 4*t^8.27 + 4*t^8.35 - t^8.37 + 2*t^8.45 + t^8.48 + 3*t^8.56 + 7*t^8.64 + 2*t^8.67 + 8*t^8.75 + 3*t^8.77 + 5*t^8.93 + 6*t^8.96 - t^4.57/y - t^6.73/y - t^6.84/y - t^7.03/y + t^7.32/y + (3*t^7.43)/y + t^7.53/y + (2*t^7.61)/y + (5*t^7.72)/y + (2*t^7.83)/y + (5*t^8.01)/y + (5*t^8.12)/y + (3*t^8.31)/y + (3*t^8.41)/y + (4*t^8.6)/y + (5*t^8.71)/y + t^8.89/y - t^4.57*y - t^6.73*y - t^6.84*y - t^7.03*y + t^7.32*y + 3*t^7.43*y + t^7.53*y + 2*t^7.61*y + 5*t^7.72*y + 2*t^7.83*y + 5*t^8.01*y + 5*t^8.12*y + 3*t^8.31*y + 3*t^8.41*y + 4*t^8.6*y + 5*t^8.71*y + t^8.89*y | (2*t^2.16)/g1^18 + 2*g1^20*t^2.27 + t^2.45/g1^26 + g1^12*t^2.56 + 2*g1^4*t^2.85 + (2*t^3.44)/g1^12 + t^4.03/g1^28 + g1^10*t^4.13 + g1^48*t^4.24 + (3*t^4.32)/g1^36 + 4*g1^2*t^4.43 + 3*g1^40*t^4.53 + (2*t^4.61)/g1^44 + (4*t^4.72)/g1^6 + 2*g1^32*t^4.83 + t^4.91/g1^52 + (5*t^5.01)/g1^14 + 5*g1^24*t^5.12 + (2*t^5.31)/g1^22 + 2*g1^16*t^5.41 + (3*t^5.6)/g1^30 + 5*g1^8*t^5.71 + t^5.89/g1^38 - 2*t^6. - g1^38*t^6.11 + (2*t^6.19)/g1^46 + (4*t^6.29)/g1^8 + 2*g1^30*t^6.4 + (5*t^6.48)/g1^54 + 2*g1^68*t^6.51 + (6*t^6.59)/g1^16 + 6*g1^22*t^6.69 + (3*t^6.77)/g1^62 + 5*g1^60*t^6.8 + (9*t^6.88)/g1^24 + 6*g1^14*t^6.99 + (2*t^7.07)/g1^70 + 4*g1^52*t^7.09 + (8*t^7.17)/g1^32 + 8*g1^6*t^7.28 + t^7.36/g1^78 + 7*g1^44*t^7.39 + (5*t^7.47)/g1^40 + (6*t^7.57)/g1^2 + 4*g1^36*t^7.68 + (6*t^7.76)/g1^48 + (7*t^7.87)/g1^10 + 7*g1^28*t^7.97 + (2*t^8.05)/g1^56 - t^8.16/g1^18 - 4*g1^20*t^8.27 + (4*t^8.35)/g1^64 - g1^58*t^8.37 + (2*t^8.45)/g1^26 + g1^96*t^8.48 + 3*g1^12*t^8.56 + (7*t^8.64)/g1^72 + 2*g1^50*t^8.67 + (8*t^8.75)/g1^34 + 3*g1^88*t^8.77 + (5*t^8.93)/g1^80 + 6*g1^42*t^8.96 - t^4.57/(g1^2*y) - t^6.73/(g1^20*y) - (g1^18*t^6.84)/y - t^7.03/(g1^28*y) + t^7.32/(g1^36*y) + (3*g1^2*t^7.43)/y + (g1^40*t^7.53)/y + (2*t^7.61)/(g1^44*y) + (5*t^7.72)/(g1^6*y) + (2*g1^32*t^7.83)/y + (5*t^8.01)/(g1^14*y) + (5*g1^24*t^8.12)/y + (3*t^8.31)/(g1^22*y) + (3*g1^16*t^8.41)/y + (4*t^8.6)/(g1^30*y) + (5*g1^8*t^8.71)/y + t^8.89/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.73*y)/g1^20 - g1^18*t^6.84*y - (t^7.03*y)/g1^28 + (t^7.32*y)/g1^36 + 3*g1^2*t^7.43*y + g1^40*t^7.53*y + (2*t^7.61*y)/g1^44 + (5*t^7.72*y)/g1^6 + 2*g1^32*t^7.83*y + (5*t^8.01*y)/g1^14 + 5*g1^24*t^8.12*y + (3*t^8.31*y)/g1^22 + 3*g1^16*t^8.41*y + (4*t^8.6*y)/g1^30 + 5*g1^8*t^8.71*y + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5200 | $M_1q_1q_2$ + $ 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]] | 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. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2937 | 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$ | 0.6409 | 0.8448 | 0.7587 | [X:[], M:[0.9475, 1.1574, 0.9475, 0.7377, 0.7361, 0.8426], q:[0.7369, 0.3156], qb:[0.4205, 0.4221], phi:[0.5262]] | 4*t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^4.1 + 2*t^4.11 + 7*t^4.42 + 3*t^4.43 + 4*t^4.74 + 4*t^5.05 + 5*t^5.06 + 2*t^5.37 + 3*t^5.68 + 9*t^5.69 - 3*t^6. - t^4.58/y - t^4.58*y | detail |