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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1071 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6q_1q_2$ | 0.663 | 0.838 | 0.7912 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 663/1000, c: 419/500, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_1$, $ M_6$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_4^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_4$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$ | $M_1M_2$, $ M_2M_3$, $ M_2M_5$, $ M_2M_6$, $ M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 9 | 6*t^2.4 + 3*t^3.6 + 22*t^4.8 + 9*t^6. + 51*t^7.2 + 5*t^8.4 - t^4.2/y - (5*t^6.6)/y + (20*t^7.8)/y - t^4.2*y - 5*t^6.6*y + 20*t^7.8*y | 2*t^2.4 + (2*t^2.4)/g1 + 2*g1*t^2.4 + t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + 8*t^4.8 + (3*t^4.8)/g1^2 + (4*t^4.8)/g1 + 4*g1*t^4.8 + 3*g1^2*t^4.8 - t^6. + (2*t^6.)/g1^3 + t^6./g1^2 + (2*t^6.)/g1 + 2*g1*t^6. + g1^2*t^6. + 2*g1^3*t^6. + 11*t^7.2 + t^7.2/g1^4 + (4*t^7.2)/g1^3 + (5*t^7.2)/g1^2 + (10*t^7.2)/g1 + 10*g1*t^7.2 + 5*g1^2*t^7.2 + 4*g1^3*t^7.2 + g1^4*t^7.2 - t^8.4 + (3*t^8.4)/g1^4 + (2*t^8.4)/g1^3 + (4*t^8.4)/g1^2 - (6*t^8.4)/g1 - 6*g1*t^8.4 + 4*g1^2*t^8.4 + 2*g1^3*t^8.4 + 3*g1^4*t^8.4 - t^4.2/y - t^6.6/y - (2*t^6.6)/(g1*y) - (2*g1*t^6.6)/y + (6*t^7.8)/y + t^7.8/(g1^2*y) + (6*t^7.8)/(g1*y) + (6*g1*t^7.8)/y + (g1^2*t^7.8)/y - t^4.2*y - t^6.6*y - (2*t^6.6*y)/g1 - 2*g1*t^6.6*y + 6*t^7.8*y + (t^7.8*y)/g1^2 + (6*t^7.8*y)/g1 + 6*g1*t^7.8*y + g1^2*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
666 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6469 | 0.8101 | 0.7985 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.36 + 2*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.6 + t^3.67 + 3*t^4.73 + 4*t^4.76 + 6*t^4.8 + 2*t^4.84 + t^4.87 + 2*t^5.89 + 3*t^5.93 + 3*t^5.96 - t^4.2/y - t^4.2*y | detail |