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 |
---|---|---|---|---|---|---|---|---|---|
53916 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ | 0.6483 | 0.799 | 0.8114 | [X:[], M:[0.8235, 1.0588, 1.0588, 0.7059, 1.2941], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 50961/78608, c: 31405/39304, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 22/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ \phi_1^4$, $ M_3q_2\tilde{q}_2$ | $q_1q_2\tilde{q}_2^2$ | -1 | 2*t^2.47 + t^2.82 + 2*t^3.18 + t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + 3*t^4.94 + 2*t^5.29 + 3*t^5.65 - t^6. + 7*t^6.35 + 6*t^6.71 + 5*t^7.06 + 5*t^7.41 + 9*t^7.76 + 7*t^8.12 - t^8.47 + 6*t^8.82 - t^4.41/y - t^6.88/y + t^7.24/y - t^7.59/y + (2*t^7.94)/y + (2*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.88*y + t^7.24*y - t^7.59*y + 2*t^7.94*y + 2*t^8.29*y + 4*t^8.65*y | 2*t^2.47 + t^2.82 + 2*t^3.18 + t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + 3*t^4.94 + 2*t^5.29 + 3*t^5.65 - t^6. + 7*t^6.35 + 6*t^6.71 + 5*t^7.06 + 5*t^7.41 + 9*t^7.76 + 7*t^8.12 - t^8.47 + 6*t^8.82 - t^4.41/y - t^6.88/y + t^7.24/y - t^7.59/y + (2*t^7.94)/y + (2*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - t^6.88*y + t^7.24*y - t^7.59*y + 2*t^7.94*y + 2*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 |
---|---|---|---|---|---|---|---|---|
56511 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_6\phi_1^2$ | 0.6428 | 0.7899 | 0.8138 | [X:[], M:[0.8235, 1.0588, 1.0588, 0.7059, 1.2941, 1.0588], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | 2*t^2.47 + 3*t^3.18 + t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + 3*t^4.94 + 4*t^5.65 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 12633/19652, c: 15523/19652, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 22/17, M6: 18/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
56513 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_5$ + $ M_3\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6633 | 0.8251 | 0.8039 | [X:[], M:[0.8235, 1.0588, 1.0588, 0.7059, 1.2941, 0.8235], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | 3*t^2.47 + t^2.82 + 2*t^3.18 + 4*t^3.88 + 2*t^4.24 + t^4.59 + 6*t^4.94 + 3*t^5.29 + 5*t^5.65 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 13035/19652, c: 8107/9826, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 22/17, M6: 14/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, 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 |
---|---|---|---|---|---|---|---|---|---|
48245 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4M_5$ | 0.6708 | 0.8256 | 0.8125 | [X:[], M:[0.6773, 1.1076, 0.9695, 0.7384, 1.2616], q:[0.7769, 0.5458], qb:[0.4847, 0.4077], phi:[0.4462]] | t^2.03 + t^2.68 + t^2.86 + t^2.91 + t^3.32 + t^3.55 + 2*t^3.78 + t^4.02 + t^4.06 + t^4.2 + t^4.25 + t^4.43 + t^4.61 + t^4.71 + t^4.89 + t^4.94 + 2*t^5.35 + t^5.54 + t^5.59 + t^5.72 + 2*t^5.82 - 2*t^6. - t^4.34/y - t^4.34*y | detail |