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 |
---|---|---|---|---|---|---|---|---|---|
3664 | 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_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6043 | 0.7774 | 0.7773 | [X:[], M:[0.954, 1.138, 0.954, 0.862, 1.138, 0.7989], q:[0.7385, 0.3075], qb:[0.3995, 0.4626], phi:[0.523]] | [X:[], M:[[4], [-12], [4], [12], [-12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_5M_6$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.12 + t^2.31 + t^2.4 + 2*t^2.86 + 3*t^3.41 + t^3.69 + t^3.88 + t^3.97 + t^4.16 + t^4.24 + t^4.34 + t^4.43 + t^4.52 + t^4.62 + t^4.71 + t^4.79 + 2*t^4.98 + 2*t^5.17 + 2*t^5.26 + 2*t^5.53 + 4*t^5.72 + 3*t^5.81 - 2*t^6. + 2*t^6.09 + 5*t^6.28 + 2*t^6.36 + 2*t^6.55 + t^6.64 + t^6.65 + 2*t^6.74 + 6*t^6.83 + t^6.91 + t^6.93 + 4*t^7.1 + t^7.19 + t^7.21 + t^7.29 + 4*t^7.38 + t^7.48 + t^7.57 + 5*t^7.66 + t^7.76 + 2*t^7.84 + 3*t^7.93 + 3*t^8.03 + 2*t^8.12 + 4*t^8.21 + t^8.22 - 2*t^8.31 + 3*t^8.48 + t^8.5 + 3*t^8.59 + 4*t^8.67 + t^8.69 + 2*t^8.76 - 6*t^8.86 + 5*t^8.95 + t^8.96 - t^4.57/y - t^6.97/y + t^7.16/y + t^7.52/y + (2*t^7.71)/y + t^7.98/y + (3*t^8.17)/y + (2*t^8.26)/y + (3*t^8.53)/y + (4*t^8.72)/y + (4*t^8.81)/y - t^4.57*y - t^6.97*y + t^7.16*y + t^7.52*y + 2*t^7.71*y + t^7.98*y + 3*t^8.17*y + 2*t^8.26*y + 3*t^8.53*y + 4*t^8.72*y + 4*t^8.81*y | t^2.12/g1^18 + g1^20*t^2.31 + t^2.4/g1^26 + 2*g1^4*t^2.86 + (3*t^3.41)/g1^12 + t^3.69/g1^20 + g1^18*t^3.88 + t^3.97/g1^28 + g1^10*t^4.16 + t^4.24/g1^36 + g1^48*t^4.34 + g1^2*t^4.43 + t^4.52/g1^44 + g1^40*t^4.62 + t^4.71/g1^6 + t^4.79/g1^52 + (2*t^4.98)/g1^14 + 2*g1^24*t^5.17 + (2*t^5.26)/g1^22 + (2*t^5.53)/g1^30 + 4*g1^8*t^5.72 + (3*t^5.81)/g1^38 - 2*t^6. + (2*t^6.09)/g1^46 + (5*t^6.28)/g1^8 + (2*t^6.36)/g1^54 + (2*t^6.55)/g1^16 + t^6.64/g1^62 + g1^68*t^6.65 + 2*g1^22*t^6.74 + (6*t^6.83)/g1^24 + t^6.91/g1^70 + g1^60*t^6.93 + (4*t^7.1)/g1^32 + t^7.19/g1^78 + g1^52*t^7.21 + g1^6*t^7.29 + (4*t^7.38)/g1^40 + g1^44*t^7.48 + t^7.57/g1^2 + (5*t^7.66)/g1^48 + g1^36*t^7.76 + (2*t^7.84)/g1^10 + (3*t^7.93)/g1^56 + 3*g1^28*t^8.03 + (2*t^8.12)/g1^18 + (4*t^8.21)/g1^64 + g1^66*t^8.22 - 2*g1^20*t^8.31 + (3*t^8.48)/g1^72 + g1^58*t^8.5 + 3*g1^12*t^8.59 + (4*t^8.67)/g1^34 + g1^96*t^8.69 + (2*t^8.76)/g1^80 - 6*g1^4*t^8.86 + (5*t^8.95)/g1^42 + g1^88*t^8.96 - t^4.57/(g1^2*y) - t^6.97/(g1^28*y) + (g1^10*t^7.16)/y + t^7.52/(g1^44*y) + (2*t^7.71)/(g1^6*y) + t^7.98/(g1^14*y) + (3*g1^24*t^8.17)/y + (2*t^8.26)/(g1^22*y) + (3*t^8.53)/(g1^30*y) + (4*g1^8*t^8.72)/y + (4*t^8.81)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.97*y)/g1^28 + g1^10*t^7.16*y + (t^7.52*y)/g1^44 + (2*t^7.71*y)/g1^6 + (t^7.98*y)/g1^14 + 3*g1^24*t^8.17*y + (2*t^8.26*y)/g1^22 + (3*t^8.53*y)/g1^30 + 4*g1^8*t^8.72*y + (4*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
3934 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6251 | 0.8183 | 0.7638 | [X:[], M:[0.9537, 1.1389, 0.9537, 0.8611, 1.1389, 0.801, 0.6758], q:[0.7384, 0.3079], qb:[0.4005, 0.4605], phi:[0.5232]] | t^2.03 + t^2.13 + t^2.31 + t^2.4 + 2*t^2.86 + 3*t^3.42 + t^3.69 + t^3.87 + t^4.05 + 2*t^4.15 + t^4.25 + 2*t^4.33 + 2*t^4.43 + t^4.53 + t^4.61 + t^4.71 + t^4.81 + 2*t^4.89 + 2*t^4.99 + 2*t^5.17 + 2*t^5.26 + 3*t^5.44 + 2*t^5.54 + 5*t^5.72 + 3*t^5.82 + t^5.9 - 2*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3243 | 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_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_4M_5$ | 0.5885 | 0.7494 | 0.7852 | [X:[], M:[0.95, 1.1501, 0.95, 0.8499, 1.1501], q:[0.7375, 0.3125], qb:[0.4126, 0.4373], phi:[0.525]] | t^2.18 + t^2.25 + 2*t^2.85 + 3*t^3.45 + t^3.52 + t^3.75 + t^3.82 + t^4.05 + t^4.12 + t^4.2 + t^4.35 + t^4.42 + t^4.5 + 2*t^5.03 + 2*t^5.1 + 2*t^5.63 + 5*t^5.7 + t^5.77 - 2*t^6. - t^4.58/y - t^4.58*y | detail |