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 |
---|---|---|---|---|---|---|---|---|---|
1890 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ q_1q_2\tilde{q}_1^2$ | 0.5438 | 0.6982 | 0.7789 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 21375/39304, c: 6861/9826, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_4$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1^3q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$ | $M_3\phi_1q_2^2$, $ M_3q_2\tilde{q}_2$ | 1 | t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^3.88 + 2*t^4.24 + 3*t^4.59 + 7*t^4.94 + 5*t^5.29 + 2*t^5.65 + t^6. + 5*t^6.35 + 5*t^6.71 + 5*t^7.06 + 11*t^7.41 + 9*t^7.76 + 4*t^8.12 - t^8.47 + 4*t^8.82 - t^4.41/y - t^6.88/y + (3*t^7.59)/y + (5*t^7.94)/y + (4*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.88*y + 3*t^7.59*y + 5*t^7.94*y + 4*t^8.29*y + 4*t^8.65*y | t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^3.88 + 2*t^4.24 + 3*t^4.59 + 7*t^4.94 + 5*t^5.29 + 2*t^5.65 + t^6. + 5*t^6.35 + 5*t^6.71 + 5*t^7.06 + 11*t^7.41 + 9*t^7.76 + 4*t^8.12 - t^8.47 + 4*t^8.82 - t^4.41/y - t^6.88/y + (3*t^7.59)/y + (5*t^7.94)/y + (4*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.88*y + 3*t^7.59*y + 5*t^7.94*y + 4*t^8.29*y + 4*t^8.65*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 |
---|---|---|---|---|---|---|---|---|
2913 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3M_5$ | 0.5588 | 0.7243 | 0.7716 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.12 + 4*t^2.47 + t^2.82 + t^3.18 + 2*t^3.88 + 2*t^4.24 + 4*t^4.59 + 11*t^4.94 + 6*t^5.29 + 2*t^5.65 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 43929/78608, c: 28467/39304, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
555 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ | 0.5462 | 0.7009 | 0.7793 | [X:[], M:[1.049, 0.853, 1.147, 0.853], q:[0.7622, 0.1888], qb:[0.4827, 0.6643], phi:[0.4755]] | t^2.01 + 3*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.73 + t^3.99 + t^4.03 + t^4.28 + t^4.32 + 2*t^4.57 + 2*t^4.87 + 5*t^5.12 + t^5.16 + 4*t^5.41 + 2*t^5.71 + t^5.75 - t^4.43/y - t^4.43*y | detail |