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 |
---|---|---|---|---|---|---|---|---|---|
46034 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.4728 | 0.5871 | 0.8053 | [X:[1.5958], M:[0.4042, 1.1917], q:[0.4042, 1.1917], qb:[0.4042, 0.3833], phi:[0.4042]] | [X:[[1]], M:[[-1], [2]], q:[[-1], [2]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_2^3$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1q_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | -1 | 2*t^2.36 + t^2.43 + t^3.51 + 2*t^3.57 + t^3.64 + 4*t^4.72 + 3*t^4.79 + 2*t^5.87 + 3*t^5.94 - t^6. - t^6.06 + t^7.02 + 7*t^7.09 + 4*t^7.15 - 2*t^7.21 + 4*t^8.24 + 5*t^8.3 - 4*t^8.36 - 3*t^8.43 - t^8.49 - t^4.21/y + t^7.72/y + (2*t^7.79)/y + (2*t^8.87)/y + (5*t^8.94)/y - t^4.21*y + t^7.72*y + 2*t^7.79*y + 2*t^8.87*y + 5*t^8.94*y | 2*g1^3*t^2.36 + t^2.43/g1^2 + g1^7*t^3.51 + 2*g1^2*t^3.57 + t^3.64/g1^3 + 4*g1^6*t^4.72 + 3*g1*t^4.79 + 2*g1^10*t^5.87 + 3*g1^5*t^5.94 - t^6. - t^6.06/g1^5 + g1^14*t^7.02 + 7*g1^9*t^7.09 + 4*g1^4*t^7.15 - (2*t^7.21)/g1 + 4*g1^13*t^8.24 + 5*g1^8*t^8.3 - 4*g1^3*t^8.36 - (3*t^8.43)/g1^2 - t^8.49/g1^7 - t^4.21/(g1*y) + (g1^6*t^7.72)/y + (2*g1*t^7.79)/y + (2*g1^10*t^8.87)/y + (5*g1^5*t^8.94)/y - (t^4.21*y)/g1 + g1^6*t^7.72*y + 2*g1*t^7.79*y + 2*g1^10*t^8.87*y + 5*g1^5*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
46166 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.4904 | 0.6206 | 0.7902 | [X:[1.5917], M:[0.4083, 1.1834, 0.7751], q:[0.4083, 1.1834], qb:[0.4083, 0.3667], phi:[0.4083]] | 3*t^2.33 + t^2.45 + t^3.43 + 2*t^3.55 + 7*t^4.65 + 4*t^4.78 + 3*t^5.75 + 5*t^5.88 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
46134 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ \phi_1^3\tilde{q}_2^2$ | 0.4725 | 0.585 | 0.8077 | [X:[1.6], M:[0.4, 1.2], q:[0.4, 1.2], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 4*t^3.6 + 7*t^4.8 + 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 189/400, c: 117/200, X1: 8/5, M1: 2/5, M2: 6/5, q1: 2/5, q2: 6/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
45888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[0.7357, 1.1204], q:[0.2918, 0.9724], qb:[0.5878, 0.3888], phi:[0.4398]] | t^2.04 + t^2.21 + t^2.64 + t^2.93 + t^3.07 + 2*t^3.36 + t^3.65 + 2*t^4.08 + t^4.25 + t^4.41 + 2*t^4.68 + t^4.85 + t^4.97 + t^5.11 + t^5.14 + t^5.28 + 2*t^5.4 + 2*t^5.57 + t^5.69 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*y | detail |