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 |
|---|---|---|---|---|---|---|---|---|---|
| 4425 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_2\tilde{q}_2$ | 0.6858 | 0.8764 | 0.7825 | [X:[1.57], M:[0.43, 1.19, 0.785, 0.8601, 0.81, 0.7099, 0.76, 0.8601], q:[0.7975, 0.7725], qb:[0.4425, 0.3675], phi:[0.405]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [16], [-24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_8$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_3M_6$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ M_5M_7$, $ M_6M_8$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_4M_7$, $ M_7M_8$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_5M_8$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -3 | t^2.13 + t^2.28 + t^2.35 + 2*t^2.43 + 2*t^2.58 + t^3.49 + t^3.65 + t^4.26 + t^4.41 + t^4.48 + 3*t^4.56 + 2*t^4.63 + 6*t^4.71 + t^4.78 + 6*t^4.86 + 2*t^4.94 + 3*t^5.01 + 3*t^5.16 + t^5.62 + t^5.77 + 2*t^5.85 + 2*t^5.92 - 3*t^6. + 3*t^6.08 - t^6.15 + t^6.39 + t^6.54 + t^6.61 + 3*t^6.69 + 2*t^6.76 + 7*t^6.84 + 3*t^6.91 + 9*t^6.99 + 5*t^7.06 + 10*t^7.14 + 2*t^7.22 + 14*t^7.29 + t^7.37 + 7*t^7.44 + 3*t^7.52 + 4*t^7.59 + 4*t^7.74 + t^7.75 + t^7.9 + 2*t^7.98 + 2*t^8.05 - 2*t^8.13 + 4*t^8.2 - 4*t^8.28 - 6*t^8.43 + 2*t^8.51 + t^8.52 - 10*t^8.58 + t^8.66 + t^8.67 - 2*t^8.73 + t^8.74 - t^8.81 + 3*t^8.82 + 2*t^8.89 + 7*t^8.97 - t^4.22/y - t^6.34/y - t^6.49/y - t^6.57/y - t^6.65/y - (2*t^6.8)/y + t^7.41/y + t^7.48/y + (2*t^7.56)/y + (3*t^7.63)/y + (4*t^7.71)/y + (3*t^7.78)/y + (4*t^7.86)/y + (3*t^7.94)/y + (4*t^8.01)/y + t^8.09/y + t^8.16/y - t^8.47/y - t^8.7/y - t^8.92/y - t^4.22*y - t^6.34*y - t^6.49*y - t^6.57*y - t^6.65*y - 2*t^6.8*y + t^7.41*y + t^7.48*y + 2*t^7.56*y + 3*t^7.63*y + 4*t^7.71*y + 3*t^7.78*y + 4*t^7.86*y + 3*t^7.94*y + 4*t^8.01*y + t^8.09*y + t^8.16*y - t^8.47*y - t^8.7*y - t^8.92*y | g1^36*t^2.13 + g1^16*t^2.28 + g1^6*t^2.35 + (2*t^2.43)/g1^4 + (2*t^2.58)/g1^24 + g1^14*t^3.49 + t^3.65/g1^6 + g1^72*t^4.26 + g1^52*t^4.41 + g1^42*t^4.48 + 3*g1^32*t^4.56 + 2*g1^22*t^4.63 + 6*g1^12*t^4.71 + g1^2*t^4.78 + (6*t^4.86)/g1^8 + (2*t^4.94)/g1^18 + (3*t^5.01)/g1^28 + (3*t^5.16)/g1^48 + g1^50*t^5.62 + g1^30*t^5.77 + 2*g1^20*t^5.85 + 2*g1^10*t^5.92 - 3*t^6. + (3*t^6.08)/g1^10 - t^6.15/g1^20 + g1^108*t^6.39 + g1^88*t^6.54 + g1^78*t^6.61 + 3*g1^68*t^6.69 + 2*g1^58*t^6.76 + 7*g1^48*t^6.84 + 3*g1^38*t^6.91 + 9*g1^28*t^6.99 + 5*g1^18*t^7.06 + 10*g1^8*t^7.14 + (2*t^7.22)/g1^2 + (14*t^7.29)/g1^12 + t^7.37/g1^22 + (7*t^7.44)/g1^32 + (3*t^7.52)/g1^42 + (4*t^7.59)/g1^52 + (4*t^7.74)/g1^72 + g1^86*t^7.75 + g1^66*t^7.9 + 2*g1^56*t^7.98 + 2*g1^46*t^8.05 - 2*g1^36*t^8.13 + 4*g1^26*t^8.2 - 4*g1^16*t^8.28 - (6*t^8.43)/g1^4 + (2*t^8.51)/g1^14 + g1^144*t^8.52 - (10*t^8.58)/g1^24 + t^8.66/g1^34 + g1^124*t^8.67 - (2*t^8.73)/g1^44 + g1^114*t^8.74 - t^8.81/g1^54 + 3*g1^104*t^8.82 + 2*g1^94*t^8.89 + 7*g1^84*t^8.97 - t^4.22/(g1^2*y) - (g1^34*t^6.34)/y - (g1^14*t^6.49)/y - (g1^4*t^6.57)/y - t^6.65/(g1^6*y) - (2*t^6.8)/(g1^26*y) + (g1^52*t^7.41)/y + (g1^42*t^7.48)/y + (2*g1^32*t^7.56)/y + (3*g1^22*t^7.63)/y + (4*g1^12*t^7.71)/y + (3*g1^2*t^7.78)/y + (4*t^7.86)/(g1^8*y) + (3*t^7.94)/(g1^18*y) + (4*t^8.01)/(g1^28*y) + t^8.09/(g1^38*y) + t^8.16/(g1^48*y) - (g1^70*t^8.47)/y - (g1^40*t^8.7)/y - (g1^10*t^8.92)/y - (t^4.22*y)/g1^2 - g1^34*t^6.34*y - g1^14*t^6.49*y - g1^4*t^6.57*y - (t^6.65*y)/g1^6 - (2*t^6.8*y)/g1^26 + g1^52*t^7.41*y + g1^42*t^7.48*y + 2*g1^32*t^7.56*y + 3*g1^22*t^7.63*y + 4*g1^12*t^7.71*y + 3*g1^2*t^7.78*y + (4*t^7.86*y)/g1^8 + (3*t^7.94*y)/g1^18 + (4*t^8.01*y)/g1^28 + (t^8.09*y)/g1^38 + (t^8.16*y)/g1^48 - g1^70*t^8.47*y - g1^40*t^8.7*y - g1^10*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 5940 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_2\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7032 | 0.9075 | 0.7748 | [X:[1.568], M:[0.432, 1.1893, 0.784, 0.8639, 0.8107, 0.7041, 0.7574, 0.8639, 0.784], q:[0.7973, 0.7707], qb:[0.4453, 0.3654], phi:[0.4053]] | t^2.11 + t^2.27 + 2*t^2.35 + 2*t^2.43 + 2*t^2.59 + t^3.49 + t^4.22 + t^4.38 + 2*t^4.46 + 3*t^4.54 + 3*t^4.62 + 8*t^4.7 + 3*t^4.78 + 6*t^4.86 + 4*t^4.94 + 3*t^5.02 + 3*t^5.18 + t^5.6 + 3*t^5.84 + t^5.92 - 4*t^6. - t^4.22/y - t^4.22*y | detail | |
| 5939 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_2\tilde{q}_2$ + $ M_9q_1\tilde{q}_2$ | 0.7002 | 0.901 | 0.7772 | [X:[1.5757], M:[0.4243, 1.1919, 0.7878, 0.8486, 0.8081, 0.7271, 0.7676, 0.8486, 0.8284], q:[0.798, 0.7777], qb:[0.4344, 0.3737], phi:[0.4041]] | t^2.18 + t^2.3 + t^2.36 + 2*t^2.42 + t^2.49 + 2*t^2.55 + t^3.64 + t^4.36 + t^4.48 + t^4.54 + 3*t^4.61 + 3*t^4.67 + 6*t^4.73 + 2*t^4.79 + 7*t^4.85 + 4*t^4.91 + 4*t^4.97 + 2*t^5.03 + 3*t^5.09 + t^5.88 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2400 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_1$ | 0.6743 | 0.8589 | 0.7851 | [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.8139, 0.6753, 0.7446], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] | t^2.03 + t^2.23 + t^2.34 + 2*t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.66 + t^4.05 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.57 + 5*t^4.68 + t^4.78 + 5*t^4.88 + t^4.99 + t^5.09 + t^5.3 + t^5.38 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |