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 |
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46888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6496 | 0.8576 | 0.7574 | [X:[], M:[0.951, 0.853, 0.951, 0.8184, 0.7205], q:[0.7378, 0.3112], qb:[0.4092, 0.4438], phi:[0.5245]] | [X:[], M:[[4], [12], [4], [-26], [-18]], 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$, $ q_2\tilde{q}_2$, $ M_4$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \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_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_2$, $ M_2M_3$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.16 + t^2.27 + t^2.46 + 2*t^2.56 + 2*t^2.85 + t^3.44 + t^3.73 + t^4.03 + t^4.13 + t^4.24 + 3*t^4.32 + 2*t^4.43 + t^4.53 + 2*t^4.62 + 5*t^4.72 + 2*t^4.82 + t^4.91 + 6*t^5.01 + 5*t^5.12 + 2*t^5.31 + 4*t^5.41 + t^5.6 + 2*t^5.71 + 2*t^5.9 - t^6. - t^6.1 + 3*t^6.19 + 3*t^6.29 + t^6.4 + 5*t^6.48 + t^6.5 + 6*t^6.59 + 3*t^6.69 + 3*t^6.78 + 3*t^6.8 + 8*t^6.88 + 4*t^6.99 + 2*t^7.07 + 3*t^7.09 + 10*t^7.18 + 8*t^7.28 + t^7.37 + 4*t^7.38 + 6*t^7.47 + 9*t^7.57 + 6*t^7.68 + 4*t^7.76 + 5*t^7.87 + 6*t^7.97 + 3*t^8.06 - 2*t^8.16 + 5*t^8.35 + t^8.47 - 4*t^8.56 + 8*t^8.65 - t^8.66 + 9*t^8.75 + t^8.77 - 2*t^8.85 + 5*t^8.94 + t^8.96 - t^4.57/y - t^6.73/y - t^7.03/y - t^7.13/y + t^7.32/y + t^7.43/y + (2*t^7.62)/y + (6*t^7.72)/y + (2*t^7.82)/y + (7*t^8.01)/y + (4*t^8.12)/y + (2*t^8.31)/y + (5*t^8.41)/y + (2*t^8.6)/y + (2*t^8.71)/y + (2*t^8.9)/y - t^4.57*y - t^6.73*y - t^7.03*y - t^7.13*y + t^7.32*y + t^7.43*y + 2*t^7.62*y + 6*t^7.72*y + 2*t^7.82*y + 7*t^8.01*y + 4*t^8.12*y + 2*t^8.31*y + 5*t^8.41*y + 2*t^8.6*y + 2*t^8.71*y + 2*t^8.9*y | (2*t^2.16)/g1^18 + g1^20*t^2.27 + t^2.46/g1^26 + 2*g1^12*t^2.56 + 2*g1^4*t^2.85 + t^3.44/g1^12 + t^3.73/g1^20 + t^4.03/g1^28 + g1^10*t^4.13 + g1^48*t^4.24 + (3*t^4.32)/g1^36 + 2*g1^2*t^4.43 + g1^40*t^4.53 + (2*t^4.62)/g1^44 + (5*t^4.72)/g1^6 + 2*g1^32*t^4.82 + t^4.91/g1^52 + (6*t^5.01)/g1^14 + 5*g1^24*t^5.12 + (2*t^5.31)/g1^22 + 4*g1^16*t^5.41 + t^5.6/g1^30 + 2*g1^8*t^5.71 + (2*t^5.9)/g1^38 - t^6. - g1^38*t^6.1 + (3*t^6.19)/g1^46 + (3*t^6.29)/g1^8 + g1^30*t^6.4 + (5*t^6.48)/g1^54 + g1^68*t^6.5 + (6*t^6.59)/g1^16 + 3*g1^22*t^6.69 + (3*t^6.78)/g1^62 + 3*g1^60*t^6.8 + (8*t^6.88)/g1^24 + 4*g1^14*t^6.99 + (2*t^7.07)/g1^70 + 3*g1^52*t^7.09 + (10*t^7.18)/g1^32 + 8*g1^6*t^7.28 + t^7.37/g1^78 + 4*g1^44*t^7.38 + (6*t^7.47)/g1^40 + (9*t^7.57)/g1^2 + 6*g1^36*t^7.68 + (4*t^7.76)/g1^48 + (5*t^7.87)/g1^10 + 6*g1^28*t^7.97 + (3*t^8.06)/g1^56 - (2*t^8.16)/g1^18 + (5*t^8.35)/g1^64 + g1^96*t^8.47 - 4*g1^12*t^8.56 + (8*t^8.65)/g1^72 - g1^50*t^8.66 + (9*t^8.75)/g1^34 + g1^88*t^8.77 - 2*g1^4*t^8.85 + (5*t^8.94)/g1^80 + g1^42*t^8.96 - t^4.57/(g1^2*y) - t^6.73/(g1^20*y) - t^7.03/(g1^28*y) - (g1^10*t^7.13)/y + t^7.32/(g1^36*y) + (g1^2*t^7.43)/y + (2*t^7.62)/(g1^44*y) + (6*t^7.72)/(g1^6*y) + (2*g1^32*t^7.82)/y + (7*t^8.01)/(g1^14*y) + (4*g1^24*t^8.12)/y + (2*t^8.31)/(g1^22*y) + (5*g1^16*t^8.41)/y + (2*t^8.6)/(g1^30*y) + (2*g1^8*t^8.71)/y + (2*t^8.9)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.73*y)/g1^20 - (t^7.03*y)/g1^28 - g1^10*t^7.13*y + (t^7.32*y)/g1^36 + g1^2*t^7.43*y + (2*t^7.62*y)/g1^44 + (6*t^7.72*y)/g1^6 + 2*g1^32*t^7.82*y + (7*t^8.01*y)/g1^14 + 4*g1^24*t^8.12*y + (2*t^8.31*y)/g1^22 + 5*g1^16*t^8.41*y + (2*t^8.6*y)/g1^30 + 2*g1^8*t^8.71*y + (2*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
55053 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6369 | 0.8365 | 0.7614 | [X:[], M:[0.9529, 0.8586, 0.9529, 0.8063, 0.712, 1.1414], q:[0.7382, 0.3089], qb:[0.4031, 0.4555], phi:[0.5236]] | 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. - 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 |
---|---|---|---|---|---|---|---|---|---|
46539 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6296 | 0.8202 | 0.7676 | [X:[], M:[0.9499, 0.8497, 0.9499, 0.8256], q:[0.7375, 0.3126], qb:[0.4128, 0.437], phi:[0.525]] | t^2.18 + t^2.25 + t^2.48 + 2*t^2.55 + 2*t^2.85 + t^3.45 + t^3.75 + t^3.82 + t^4.05 + t^4.12 + t^4.2 + t^4.35 + t^4.42 + t^4.5 + t^4.65 + 3*t^4.73 + 2*t^4.8 + t^4.95 + 4*t^5.03 + 5*t^5.1 + 2*t^5.33 + 4*t^5.4 + 2*t^5.7 + t^5.93 - t^4.58/y - t^4.58*y | detail |