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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2544 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.603 | 0.7726 | 0.7804 | [X:[], M:[1.0, 0.7143, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6429, 0.3571], qb:[0.3571, 0.9286], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3309/5488, c: 265/343, M1: 1, M2: 5/7, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 9/14, q2: 5/14, qb1: 5/14, qb2: 13/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $M_3^2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | 1 | 3*t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 6*t^4.29 + 4*t^4.71 + 7*t^5.14 + 9*t^5.57 + t^6. + 12*t^6.43 + 8*t^6.86 + 10*t^7.29 + 17*t^7.71 + 2*t^8.14 + 17*t^8.57 - t^4.29/y - (2*t^6.43)/y - t^6.86/y + (3*t^7.29)/y + (4*t^7.71)/y + (8*t^8.14)/y + (8*t^8.57)/y - t^4.29*y - 2*t^6.43*y - t^6.86*y + 3*t^7.29*y + 4*t^7.71*y + 8*t^8.14*y + 8*t^8.57*y | 3*t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 6*t^4.29 + 4*t^4.71 + 7*t^5.14 + 9*t^5.57 + t^6. + 12*t^6.43 + 8*t^6.86 + 10*t^7.29 + 17*t^7.71 + 2*t^8.14 + 17*t^8.57 - t^4.29/y - (2*t^6.43)/y - t^6.86/y + (3*t^7.29)/y + (4*t^7.71)/y + (8*t^8.14)/y + (8*t^8.57)/y - t^4.29*y - 2*t^6.43*y - t^6.86*y + 3*t^7.29*y + 4*t^7.71*y + 8*t^8.14*y + 8*t^8.57*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 |
---|---|---|---|---|---|---|---|---|---|
1459 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ | 0.7024 | 0.8618 | 0.815 | [X:[], M:[1.0, 0.9328, 1.0, 0.9328, 1.0672, 0.9328], q:[0.5336, 0.4664], qb:[0.4664, 0.6008], phi:[0.4832]] | 3*t^2.8 + t^2.9 + 2*t^3. + t^3.4 + 3*t^4.25 + 2*t^4.45 + 3*t^4.65 + t^4.85 + t^5.05 + 4*t^5.6 + 3*t^5.7 + 4*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |