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 |
---|---|---|---|---|---|---|---|---|---|
55116 | 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_5\phi_1q_1^2$ + $ q_2\tilde{q}_1$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_3M_6$ | 0.48 | 0.5692 | 0.8431 | [X:[1.7143, 1.4286], M:[0.8571, 0.2857, 1.1429, 0.8571, 0.8571, 0.8571], q:[0.4286, 0.7143], qb:[1.2857, 0.4286], phi:[0.2857]] | [X:[[2], [0]], M:[[0], [-2], [0], [2], [-2], [0]], q:[[1], [-1]], qb:[[1], [-1]], phi:[[0]]] | 1 | {a: 1317/2744, c: 781/1372, X1: 12/7, X2: 10/7, M1: 6/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 6/7, M6: 6/7, q1: 3/7, q2: 5/7, qb1: 9/7, qb2: 3/7, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_5$, $ M_6$, $ M_5$, $ M_4$, $ M_2^2q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ X_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1M_5$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_5^2$, $ M_1M_5$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_4M_6$, $ X_1$, $ M_4^2$ | $\phi_1q_1\tilde{q}_1$, $ M_4\phi_1q_1\tilde{q}_2$, $ M_5\phi_1q_1\tilde{q}_2$, $ M_6\phi_1q_1\tilde{q}_2$, $ M_1\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$ | -4 | 4*t^2.57 + t^4.29 + 10*t^5.14 - 4*t^6. + 17*t^7.71 - 15*t^8.57 - t^3.86/y - (3*t^6.43)/y + (3*t^7.29)/y + (6*t^8.14)/y - t^3.86*y - 3*t^6.43*y + 3*t^7.29*y + 6*t^8.14*y | 2*t^2.57 + t^2.57/g1^2 + g1^2*t^2.57 + t^4.29 + 4*t^5.14 + t^5.14/g1^4 + (2*t^5.14)/g1^2 + 2*g1^2*t^5.14 + g1^4*t^5.14 - 2*t^6. - t^6./g1^2 - g1^2*t^6. + 5*t^7.71 + t^7.71/g1^6 + (2*t^7.71)/g1^4 + (3*t^7.71)/g1^2 + 3*g1^2*t^7.71 + 2*g1^4*t^7.71 + g1^6*t^7.71 - 5*t^8.57 - t^8.57/g1^4 - (4*t^8.57)/g1^2 - 4*g1^2*t^8.57 - g1^4*t^8.57 - t^3.86/y - t^6.43/y - t^6.43/(g1^2*y) - (g1^2*t^6.43)/y + t^7.29/y + t^7.29/(g1^2*y) + (g1^2*t^7.29)/y + (2*t^8.14)/y + (2*t^8.14)/(g1^2*y) + (2*g1^2*t^8.14)/y - t^3.86*y - t^6.43*y - (t^6.43*y)/g1^2 - g1^2*t^6.43*y + t^7.29*y + (t^7.29*y)/g1^2 + g1^2*t^7.29*y + 2*t^8.14*y + (2*t^8.14*y)/g1^2 + 2*g1^2*t^8.14*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 |
---|---|---|---|---|---|---|---|---|---|
46893 | 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_5\phi_1q_1^2$ + $ q_2\tilde{q}_1$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4674 | 0.5477 | 0.8533 | [X:[1.7143, 1.4286], M:[0.8571, 0.2857, 1.1429, 0.8571, 0.8571], q:[0.4286, 0.7143], qb:[1.2857, 0.4286], phi:[0.2857]] | 3*t^2.57 + t^3.43 + t^4.29 + 6*t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 10/7, M1: 6/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 6/7, q1: 3/7, q2: 5/7, qb1: 9/7, qb2: 3/7, phi1: 2/7} |