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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55791 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ + $ \phi_1^4$ | 0.6133 | 0.7695 | 0.797 | [X:[], M:[], q:[0.25, 1.25, 0.75], qb:[0.5833, 0.5833, 0.5833], phi:[0.5]] | [X:[], M:[], q:[[0, 0], [0, 0], [0, 0]], qb:[[-1, -1], [1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 157/256, c: 197/256, q1: 1/4, q2: 5/4, q3: 3/4, qb1: 7/12, qb2: 7/12, qb3: 7/12, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$q_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_3$, $ \tilde{q}_1\tilde{q}_3$, $ q_3\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_3$, $ q_1^2\tilde{q}_1\tilde{q}_3$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ q_1^2q_3\tilde{q}_2$ | $q_1^2q_3^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_1\tilde{q}_1^2\tilde{q}_3$, $ 2q_1\tilde{q}_1\tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_2^2\tilde{q}_3$, $ q_1\tilde{q}_1\tilde{q}_3^2$, $ q_1\tilde{q}_2\tilde{q}_3^2$ | 0 | 3*t^2.5 + 2*t^3. + 3*t^3.5 + 3*t^4. + 9*t^5. + 6*t^5.5 + 9*t^6.5 + 6*t^7. + 10*t^7.5 + 12*t^8. + 6*t^8.5 - t^4.5/y + (3*t^8.)/y + (6*t^8.5)/y - t^4.5*y + 3*t^8.*y + 6*t^8.5*y | g1*t^2.5 + t^2.5/(g1*g2) + g2*t^2.5 + 2*t^3. + t^3.5/g1 + t^3.5/g2 + g1*g2*t^3.5 + g1*t^4. + t^4./(g1*g2) + g2*t^4. + t^5./g1 + 2*g1^2*t^5. + (2*t^5.)/(g1^2*g2^2) + t^5./g2 + g1*g2*t^5. + 2*g2^2*t^5. + 2*g1*t^5.5 + (2*t^5.5)/(g1*g2) + 2*g2*t^5.5 + (2*t^6.5)/g1 + g1^2*t^6.5 + t^6.5/(g1^2*g2^2) + (2*t^6.5)/g2 + 2*g1*g2*t^6.5 + g2^2*t^6.5 + t^7./g1^2 + g1*t^7. + t^7./g2^2 + t^7./(g1*g2) + g2*t^7. + g1^2*g2^2*t^7. - 2*t^7.5 + 2*g1^3*t^7.5 + (2*t^7.5)/(g1^3*g2^3) + t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + g1^2*g2*t^7.5 + g1*g2^2*t^7.5 + 2*g2^3*t^7.5 + t^8./g1 + 3*g1^2*t^8. + (3*t^8.)/(g1^2*g2^2) + t^8./g2 + g1*g2*t^8. + 3*g2^2*t^8. + t^8.5/g1^2 - g1*t^8.5 + t^8.5/(g1^2*g2^3) + t^8.5/g2^2 + t^8.5/(g1^3*g2^2) - t^8.5/(g1*g2) + (g1^2*t^8.5)/g2 - g2*t^8.5 + g1^3*g2*t^8.5 + (g2^2*t^8.5)/g1 + g1^2*g2^2*t^8.5 + g1*g2^3*t^8.5 - t^4.5/y + t^8./(g1*y) + t^8./(g2*y) + (g1*g2*t^8.)/y + (2*g1*t^8.5)/y + (2*t^8.5)/(g1*g2*y) + (2*g2*t^8.5)/y - t^4.5*y + (t^8.*y)/g1 + (t^8.*y)/g2 + g1*g2*t^8.*y + 2*g1*t^8.5*y + (2*t^8.5*y)/(g1*g2) + 2*g2*t^8.5*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 |
---|---|---|---|---|---|---|---|---|---|
55656 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ | 0.665 | 0.79 | 0.8418 | [X:[], M:[], q:[0.4, 1.2, 0.8], qb:[0.6667, 0.6667, 0.6667], phi:[0.4]] | t^2.4 + 3*t^3.2 + t^3.6 + 3*t^4. + 3*t^4.4 + t^4.8 + 3*t^5.2 + 3*t^5.6 - 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 133/200, c: 79/100, q1: 2/5, q2: 6/5, q3: 4/5, qb1: 2/3, qb2: 2/3, qb3: 2/3, phi1: 2/5} |