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 |
|---|---|---|---|---|---|---|---|---|---|
| 3328 | 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6369 | 0.8365 | 0.7614 | [X:[], M:[0.9529, 1.1414, 0.9529, 0.712, 0.8063, 0.8586], q:[0.7382, 0.3089], qb:[0.4555, 0.4031], phi:[0.5236]] | [X:[], M:[[-4], [12], [-4], [18], [26], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_6q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_6\phi_1q_2^2$ | -1 | 2*t^2.14 + t^2.29 + t^2.42 + t^2.58 + 2*t^2.86 + 2*t^3.42 + t^3.71 + t^3.99 + t^4.15 + 3*t^4.27 + t^4.3 + 2*t^4.43 + 2*t^4.56 + t^4.59 + 3*t^4.71 + t^4.84 + t^4.87 + 5*t^4.99 + 3*t^5.15 + 2*t^5.28 + 2*t^5.43 + 3*t^5.56 + 3*t^5.72 + 3*t^5.84 - t^6. + 3*t^6.13 - t^6.16 + 4*t^6.28 + 5*t^6.41 + t^6.44 + 5*t^6.57 + t^6.6 + 3*t^6.69 + 2*t^6.72 + 7*t^6.85 + 2*t^6.88 + 2*t^6.97 + 2*t^7.01 + 9*t^7.13 + 2*t^7.16 + t^7.26 + 3*t^7.29 + 6*t^7.41 + 2*t^7.44 + 4*t^7.57 + 7*t^7.7 + 2*t^7.73 + 5*t^7.85 + 5*t^7.98 + 3*t^8.01 + 6*t^8.26 - t^8.29 + 3*t^8.42 + 8*t^8.54 + t^8.61 + 8*t^8.7 + 5*t^8.83 - 3*t^8.86 + t^8.89 + 12*t^8.98 - t^4.57/y - t^6.71/y - t^6.99/y + t^7.27/y + t^7.43/y + (2*t^7.56)/y + (4*t^7.71)/y + t^7.87/y + (5*t^7.99)/y + (3*t^8.15)/y + (2*t^8.28)/y + (3*t^8.43)/y + (4*t^8.56)/y + (3*t^8.72)/y + (3*t^8.84)/y - t^4.57*y - t^6.71*y - t^6.99*y + t^7.27*y + t^7.43*y + 2*t^7.56*y + 4*t^7.71*y + t^7.87*y + 5*t^7.99*y + 3*t^8.15*y + 2*t^8.28*y + 3*t^8.43*y + 4*t^8.56*y + 3*t^8.72*y + 3*t^8.84*y | 2*g1^18*t^2.14 + t^2.29/g1^20 + g1^26*t^2.42 + t^2.58/g1^12 + (2*t^2.86)/g1^4 + 2*g1^12*t^3.42 + g1^20*t^3.71 + g1^28*t^3.99 + t^4.15/g1^10 + 3*g1^36*t^4.27 + t^4.3/g1^48 + (2*t^4.43)/g1^2 + 2*g1^44*t^4.56 + t^4.59/g1^40 + 3*g1^6*t^4.71 + g1^52*t^4.84 + t^4.87/g1^32 + 5*g1^14*t^4.99 + (3*t^5.15)/g1^24 + 2*g1^22*t^5.28 + (2*t^5.43)/g1^16 + 3*g1^30*t^5.56 + (3*t^5.72)/g1^8 + 3*g1^38*t^5.84 - t^6. + 3*g1^46*t^6.13 - t^6.16/g1^38 + 4*g1^8*t^6.28 + 5*g1^54*t^6.41 + t^6.44/g1^30 + 5*g1^16*t^6.57 + t^6.6/g1^68 + 3*g1^62*t^6.69 + (2*t^6.72)/g1^22 + 7*g1^24*t^6.85 + (2*t^6.88)/g1^60 + 2*g1^70*t^6.97 + (2*t^7.01)/g1^14 + 9*g1^32*t^7.13 + (2*t^7.16)/g1^52 + g1^78*t^7.26 + (3*t^7.29)/g1^6 + 6*g1^40*t^7.41 + (2*t^7.44)/g1^44 + 4*g1^2*t^7.57 + 7*g1^48*t^7.7 + (2*t^7.73)/g1^36 + 5*g1^10*t^7.85 + 5*g1^56*t^7.98 + (3*t^8.01)/g1^28 + 6*g1^64*t^8.26 - t^8.29/g1^20 + 3*g1^26*t^8.42 + 8*g1^72*t^8.54 + t^8.61/g1^96 + 8*g1^34*t^8.7 + 5*g1^80*t^8.83 - (3*t^8.86)/g1^4 + t^8.89/g1^88 + 12*g1^42*t^8.98 - (g1^2*t^4.57)/y - (g1^20*t^6.71)/y - (g1^28*t^6.99)/y + (g1^36*t^7.27)/y + t^7.43/(g1^2*y) + (2*g1^44*t^7.56)/y + (4*g1^6*t^7.71)/y + t^7.87/(g1^32*y) + (5*g1^14*t^7.99)/y + (3*t^8.15)/(g1^24*y) + (2*g1^22*t^8.28)/y + (3*t^8.43)/(g1^16*y) + (4*g1^30*t^8.56)/y + (3*t^8.72)/(g1^8*y) + (3*g1^38*t^8.84)/y - g1^2*t^4.57*y - g1^20*t^6.71*y - g1^28*t^6.99*y + g1^36*t^7.27*y + (t^7.43*y)/g1^2 + 2*g1^44*t^7.56*y + 4*g1^6*t^7.71*y + (t^7.87*y)/g1^32 + 5*g1^14*t^7.99*y + (3*t^8.15*y)/g1^24 + 2*g1^22*t^8.28*y + (3*t^8.43*y)/g1^16 + 4*g1^30*t^8.56*y + (3*t^8.72*y)/g1^8 + 3*g1^38*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 3763 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_6M_7$ | 0.6247 | 0.8166 | 0.765 | [X:[], M:[0.9548, 1.1355, 0.9548, 0.7033, 0.7937, 0.8645, 1.1355], q:[0.7387, 0.3065], qb:[0.4676, 0.3968], phi:[0.5226]] | 2*t^2.11 + t^2.32 + t^2.38 + 2*t^2.86 + 3*t^3.41 + t^3.68 + t^3.95 + t^4.16 + 3*t^4.22 + t^4.37 + 2*t^4.43 + 2*t^4.49 + t^4.64 + t^4.7 + t^4.76 + 4*t^4.97 + 2*t^5.19 + 2*t^5.25 + 5*t^5.52 + 4*t^5.73 + 4*t^5.79 - 3*t^6. - t^4.57/y - t^4.57*y | detail | |
| 3764 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6578 | 0.878 | 0.7492 | [X:[], M:[0.9528, 1.1416, 0.9528, 0.7125, 0.8069, 0.8584, 0.6695], q:[0.7382, 0.309], qb:[0.4549, 0.4034], phi:[0.5236]] | t^2.01 + 2*t^2.14 + t^2.29 + t^2.42 + t^2.58 + 2*t^2.86 + 2*t^3.42 + t^3.71 + t^4.02 + 3*t^4.15 + 3*t^4.27 + 2*t^4.3 + 3*t^4.43 + 2*t^4.56 + 2*t^4.58 + 3*t^4.71 + t^4.84 + 3*t^4.87 + 5*t^5. + 3*t^5.15 + 2*t^5.28 + 4*t^5.43 + 3*t^5.56 + 4*t^5.72 + 3*t^5.85 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2806 | 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_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6449 | 0.8469 | 0.7615 | [X:[], M:[0.985, 1.0449, 0.985, 0.7379, 0.7678, 0.7846], q:[0.7463, 0.2687], qb:[0.4859, 0.4692], phi:[0.5075]] | 2*t^2.21 + t^2.26 + t^2.3 + t^2.35 + 2*t^2.96 + 2*t^3.13 + t^3.74 + t^4.34 + t^4.39 + 3*t^4.43 + t^4.44 + 2*t^4.48 + 2*t^4.52 + t^4.53 + 3*t^4.57 + t^4.61 + t^4.62 + t^4.66 + t^4.71 + 4*t^5.17 + 2*t^5.22 + 2*t^5.26 + 2*t^5.31 + 3*t^5.35 + t^5.4 + 2*t^5.44 + 2*t^5.49 + 2*t^5.91 + t^5.95 - 3*t^6. - t^4.52/y - t^4.52*y | detail |