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 |
|---|---|---|---|---|---|---|---|---|---|
| 3550 | 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_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_1$ | 0.6636 | 0.8287 | 0.8008 | [X:[], M:[0.8306, 1.0565, 1.1694, 0.7176, 1.0565, 1.0765, 0.8106], q:[0.4053, 0.7641], qb:[0.4253, 0.5182], phi:[0.4718]] | [X:[], M:[[-12], [4], [12], [-20], [4], [-30], [22]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_2$, $ M_5$, $ M_6$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_1M_4$, $ M_7^2$, $ M_1M_7$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_4M_5$, $ M_4M_6$, $ M_2M_7$, $ M_5M_7$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_6M_7$ | $M_4\phi_1q_1^2$ | -1 | t^2.15 + t^2.43 + t^2.49 + 2*t^3.17 + t^3.23 + t^3.51 + t^3.85 + t^3.91 + t^3.97 + t^4.19 + t^4.25 + t^4.31 + t^4.52 + t^4.58 + t^4.64 + t^4.86 + t^4.92 + t^4.98 + 2*t^5.32 + t^5.38 + 2*t^5.6 + 3*t^5.66 - t^6. + t^6.12 + 3*t^6.34 + 4*t^6.4 + 3*t^6.46 + t^6.62 + 3*t^6.68 + t^6.74 + t^6.8 + t^6.96 + 2*t^7.02 + t^7.08 + 2*t^7.14 + t^7.2 + t^7.3 + 2*t^7.36 + t^7.42 + 3*t^7.48 + t^7.54 + t^7.69 + 2*t^7.75 + 3*t^7.81 + t^7.87 + t^7.93 + 3*t^8.03 + t^8.09 + t^8.21 + t^8.27 + t^8.37 - 3*t^8.43 + t^8.49 + 3*t^8.55 + 3*t^8.61 + t^8.71 + 3*t^8.77 + 5*t^8.83 + 3*t^8.89 + 2*t^8.95 - t^4.42/y - t^6.57/y - t^6.85/y + t^7.19/y + t^7.25/y + t^7.92/y + t^7.98/y + t^8.26/y + (2*t^8.32)/y + t^8.38/y + (2*t^8.6)/y + (4*t^8.66)/y + t^8.94/y - t^4.42*y - t^6.57*y - t^6.85*y + t^7.19*y + t^7.25*y + t^7.92*y + t^7.98*y + t^8.26*y + 2*t^8.32*y + t^8.38*y + 2*t^8.6*y + 4*t^8.66*y + t^8.94*y | t^2.15/g1^20 + g1^22*t^2.43 + t^2.49/g1^12 + 2*g1^4*t^3.17 + t^3.23/g1^30 + g1^12*t^3.51 + g1^20*t^3.85 + t^3.91/g1^14 + t^3.97/g1^48 + g1^28*t^4.19 + t^4.25/g1^6 + t^4.31/g1^40 + g1^36*t^4.52 + g1^2*t^4.58 + t^4.64/g1^32 + g1^44*t^4.86 + g1^10*t^4.92 + t^4.98/g1^24 + (2*t^5.32)/g1^16 + t^5.38/g1^50 + 2*g1^26*t^5.6 + (3*t^5.66)/g1^8 - t^6. + t^6.12/g1^68 + 3*g1^8*t^6.34 + (4*t^6.4)/g1^26 + (3*t^6.46)/g1^60 + g1^50*t^6.62 + 3*g1^16*t^6.68 + t^6.74/g1^18 + t^6.8/g1^52 + g1^58*t^6.96 + 2*g1^24*t^7.02 + t^7.08/g1^10 + (2*t^7.14)/g1^44 + t^7.2/g1^78 + g1^66*t^7.3 + 2*g1^32*t^7.36 + t^7.42/g1^2 + (3*t^7.48)/g1^36 + t^7.54/g1^70 + g1^40*t^7.69 + 2*g1^6*t^7.75 + (3*t^7.81)/g1^28 + t^7.87/g1^62 + t^7.93/g1^96 + 3*g1^48*t^8.03 + g1^14*t^8.09 + t^8.21/g1^54 + t^8.27/g1^88 + g1^56*t^8.37 - 3*g1^22*t^8.43 + t^8.49/g1^12 + (3*t^8.55)/g1^46 + (3*t^8.61)/g1^80 + g1^64*t^8.71 + 3*g1^30*t^8.77 + (5*t^8.83)/g1^4 + (3*t^8.89)/g1^38 + (2*t^8.95)/g1^72 - t^4.42/(g1^2*y) - t^6.57/(g1^22*y) - (g1^20*t^6.85)/y + (g1^28*t^7.19)/y + t^7.25/(g1^6*y) + (g1^10*t^7.92)/y + t^7.98/(g1^24*y) + (g1^18*t^8.26)/y + (2*t^8.32)/(g1^16*y) + t^8.38/(g1^50*y) + (2*g1^26*t^8.6)/y + (4*t^8.66)/(g1^8*y) + (g1^34*t^8.94)/y - (t^4.42*y)/g1^2 - (t^6.57*y)/g1^22 - g1^20*t^6.85*y + g1^28*t^7.19*y + (t^7.25*y)/g1^6 + g1^10*t^7.92*y + (t^7.98*y)/g1^24 + g1^18*t^8.26*y + (2*t^8.32*y)/g1^16 + (t^8.38*y)/g1^50 + 2*g1^26*t^8.6*y + (4*t^8.66*y)/g1^8 + g1^34*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 5230 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6842 | 0.8682 | 0.7881 | [X:[], M:[0.8319, 1.056, 1.1681, 0.7198, 1.056, 1.0797, 0.8083, 0.6962], q:[0.4041, 0.764], qb:[0.4277, 0.5162], phi:[0.472]] | t^2.09 + t^2.16 + t^2.42 + t^2.5 + 2*t^3.17 + t^3.24 + t^3.5 + t^3.84 + t^3.98 + 2*t^4.18 + 2*t^4.25 + t^4.32 + 2*t^4.51 + 2*t^4.58 + t^4.65 + t^4.85 + t^4.92 + t^4.99 + 2*t^5.26 + 3*t^5.33 + t^5.4 + 3*t^5.59 + 3*t^5.66 + t^5.93 - t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2961 | 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_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6483 | 0.8029 | 0.8074 | [X:[], M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.47 + t^3.17 + 2*t^3.18 + t^3.52 + t^3.53 + t^3.86 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + t^4.25 + t^4.58 + t^4.6 + t^4.93 + t^5.28 + 2*t^5.29 + t^5.63 + 2*t^5.64 + t^5.97 + t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail |