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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3044 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4X_1$ | 0.5874 | 0.728 | 0.8068 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1203/2048, c: 1491/2048, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, M6: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ \phi_1^2$, $ M_2$, $ M_6$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_1$, $ X_1$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1M_2$, $ M_1M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_5M_6$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 3*t^6.25 + 4*t^6.5 + 2*t^6.75 - t^7. + 2*t^7.25 + 7*t^7.5 + 6*t^7.75 + 3*t^8. + 2*t^8.25 + t^8.5 - t^4.25/y - t^6.75/y - (2*t^7.)/y + (2*t^7.5)/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y - 2*t^7.*y + 2*t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 3*t^8.75*y | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. + 3*t^6.25 + 4*t^6.5 + 2*t^6.75 - t^7. + 2*t^7.25 + 7*t^7.5 + 6*t^7.75 + 3*t^8. + 2*t^8.25 + t^8.5 - t^4.25/y - t^6.75/y - (2*t^7.)/y + (2*t^7.5)/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y - 2*t^7.*y + 2*t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 3*t^8.75*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 |
---|---|---|---|---|---|---|---|---|---|
1991 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6687 | 0.8494 | 0.7872 | [X:[], M:[0.8211, 0.7507, 1.1789, 0.8564, 0.7154, 0.7507], q:[0.8035, 0.8035], qb:[0.3753, 0.4458], phi:[0.393]] | t^2.15 + 2*t^2.25 + t^2.36 + t^2.46 + t^2.57 + 2*t^3.54 + t^3.64 + t^4.29 + 2*t^4.4 + 4*t^4.5 + 3*t^4.61 + 4*t^4.72 + 4*t^4.82 + 2*t^4.93 + t^5.03 + t^5.14 + 2*t^5.68 + 4*t^5.79 + 2*t^5.89 - t^4.18/y - t^4.18*y | detail |