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 |
---|---|---|---|---|---|---|---|---|---|
46885 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ | 0.6166 | 0.7496 | 0.8226 | [X:[], M:[1.1606, 0.7408, 0.8394, 0.8066, 1.2592], q:[0.4033, 0.4362], qb:[0.8559, 0.7573], phi:[0.3869]] | [X:[], M:[[12], [18], [-12], [-2], [-18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_5$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$ | $\phi_1^3q_1q_2$ | 0 | t^2.32 + t^2.42 + t^2.52 + t^3.48 + t^3.58 + t^3.68 + 2*t^3.78 + t^3.88 + t^4.64 + t^4.74 + 3*t^4.84 + t^4.94 + t^5.04 + 2*t^6.1 + 3*t^6.2 + 3*t^6.3 + t^6.39 + t^6.96 + 2*t^7.16 + 2*t^7.26 + 3*t^7.36 + 2*t^7.46 + 4*t^7.55 + 2*t^7.65 + t^7.75 - t^8.22 - t^8.32 - 2*t^8.42 + 4*t^8.62 + 4*t^8.72 + 3*t^8.81 + t^8.91 - t^4.16/y - t^6.48/y - t^6.58/y + (2*t^7.74)/y + (2*t^7.84)/y + t^7.94/y + t^8.9/y - t^4.16*y - t^6.48*y - t^6.58*y + 2*t^7.74*y + 2*t^7.84*y + t^7.94*y + t^8.9*y | g1^8*t^2.32 + t^2.42/g1^2 + t^2.52/g1^12 + g1^12*t^3.48 + g1^2*t^3.58 + t^3.68/g1^8 + (2*t^3.78)/g1^18 + t^3.88/g1^28 + g1^16*t^4.64 + g1^6*t^4.74 + (3*t^4.84)/g1^4 + t^4.94/g1^14 + t^5.04/g1^24 + (2*t^6.1)/g1^10 + (3*t^6.2)/g1^20 + (3*t^6.3)/g1^30 + t^6.39/g1^40 + g1^24*t^6.96 + 2*g1^4*t^7.16 + (2*t^7.26)/g1^6 + (3*t^7.36)/g1^16 + (2*t^7.46)/g1^26 + (4*t^7.55)/g1^36 + (2*t^7.65)/g1^46 + t^7.75/g1^56 - g1^18*t^8.22 - g1^8*t^8.32 - (2*t^8.42)/g1^2 + (4*t^8.62)/g1^22 + (4*t^8.72)/g1^32 + (3*t^8.81)/g1^42 + t^8.91/g1^52 - (g1^4*t^4.16)/y - (g1^12*t^6.48)/y - (g1^2*t^6.58)/y + (2*g1^6*t^7.74)/y + (2*t^7.84)/(g1^4*y) + t^7.94/(g1^14*y) + (g1^10*t^8.9)/y - g1^4*t^4.16*y - g1^12*t^6.48*y - g1^2*t^6.58*y + 2*g1^6*t^7.74*y + (2*t^7.84*y)/g1^4 + (t^7.94*y)/g1^14 + g1^10*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
55230 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ | 0.6347 | 0.7812 | 0.8125 | [X:[], M:[1.1522, 0.7283, 0.8478, 0.808, 1.2717, 0.7682], q:[0.404, 0.4438], qb:[0.8677, 0.7482], phi:[0.3841]] | 2*t^2.3 + t^2.42 + t^2.54 + t^3.46 + t^3.58 + 2*t^3.81 + t^3.93 + 3*t^4.61 + 2*t^4.73 + 4*t^4.85 + t^4.97 + t^5.09 + t^5.76 + t^5.88 - t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
46384 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1q_1^2$ | 0.6363 | 0.7853 | 0.8103 | [X:[], M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | t^2.17 + t^2.3 + t^2.43 + t^2.55 + t^3.45 + t^3.57 + t^3.7 + t^3.83 + t^3.96 + t^4.34 + t^4.47 + 2*t^4.6 + 2*t^4.72 + 3*t^4.85 + t^4.98 + t^5.11 + t^5.62 + t^5.75 + t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail |