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 |
---|---|---|---|---|---|---|---|---|---|
46849 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.522 | 0.672 | 0.7768 | [X:[], M:[0.8, 1.2, 0.8, 0.8], q:[1.2, 0.4], qb:[0.4, 0.4], phi:[0.4]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 261/500, c: 84/125, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 6/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$ | -3 | 6*t^2.4 + t^3.6 + 22*t^4.8 - 3*t^6. + 50*t^7.2 - 32*t^8.4 - t^4.2/y - (3*t^6.6)/y + (18*t^7.8)/y - t^4.2*y - 3*t^6.6*y + 18*t^7.8*y | 6*t^2.4 + t^3.6 + 22*t^4.8 - 3*t^6. + 50*t^7.2 - 32*t^8.4 - t^4.2/y - (3*t^6.6)/y + (18*t^7.8)/y - t^4.2*y - 3*t^6.6*y + 18*t^7.8*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 |
---|---|---|---|---|---|---|---|---|
55273 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.5385 | 0.701 | 0.7682 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8], q:[1.2, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 7*t^2.4 + 29*t^4.8 - 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1077/2000, c: 701/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, q1: 6/5, q2: 2/5, 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 |
---|---|---|---|---|---|---|---|---|---|
46606 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ | 0.5659 | 0.7273 | 0.7781 | [X:[], M:[0.8608, 1.1392, 0.7089, 0.8608], q:[0.9873, 0.5823], qb:[0.2785, 0.4304], phi:[0.4304]] | 2*t^2.13 + 3*t^2.58 + t^2.96 + t^3.04 + t^3.8 + 4*t^4.25 + 7*t^4.71 + 2*t^5.09 + 7*t^5.16 + 2*t^5.54 + 2*t^5.62 + 3*t^5.92 - 3*t^6. - t^4.29/y - t^4.29*y | detail |