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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47924 | SU3adj1nf2 | $q_1q_2\tilde{q}_1^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4375 | 1.625 | 0.8846 | [X:[1.3333], M:[], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]] | [X:[[0, 6]], M:[], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]] | 2 | {a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$\phi_1^3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ \phi_1^2q_1\tilde{q}_2$ | $\phi_1^6$, $ \phi_1^2q_1^2q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | 11 | 5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. + 22*t^7. + 28*t^8. - t^4./y - t^5./y - (5*t^7.)/y - (5*t^8.)/y - t^4.*y - t^5.*y - 5*t^7.*y - 5*t^8.*y | t^3./g2^9 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + g1*g2^13*t^3. + (g2^23*t^3.)/g1 + (g1*t^4.)/g2^8 + (g2^2*t^4.)/g1 + g2^6*t^4. + g1*g2^10*t^4. + (g2^20*t^4.)/g1 + (g1*t^5.)/g2^11 + t^5./(g1*g2) + 2*g1*g2^7*t^5. + (2*g2^17*t^5.)/g1 - 2*t^6. + (g1*t^6.)/g2^14 + t^6./(g1*g2^4) + 2*g1*g2^4*t^6. + g1^2*g2^8*t^6. + (2*g2^14*t^6.)/g1 + 2*g2^18*t^6. + g1^2*g2^26*t^6. + (g2^28*t^6.)/g1^2 + g2^36*t^6. + (g2^46*t^6.)/g1^2 - t^7./g2^21 + (g1*t^7.)/g2^17 + (g1^3*t^7.)/g2^9 + t^7./(g1*g2^7) + 3*g1*g2*t^7. + 2*g1^2*g2^5*t^7. + (3*g2^11*t^7.)/g1 + 3*g2^15*t^7. + g1*g2^19*t^7. + (g2^21*t^7.)/g1^3 + g1^2*g2^23*t^7. + (2*g2^25*t^7.)/g1^2 + (g2^29*t^7.)/g1 + 2*g2^33*t^7. + (g2^43*t^7.)/g1^2 + (g1*t^8.)/g2^20 + t^8./(g1*g2^10) + (g1*t^8.)/g2^2 + 3*g1^2*g2^2*t^8. + (g2^8*t^8.)/g1 + 6*g2^12*t^8. + 3*g1^2*g2^20*t^8. + (3*g2^22*t^8.)/g1^2 + 6*g2^30*t^8. + (3*g2^40*t^8.)/g1^2 - t^4./(g2^3*y) - t^5./(g2^6*y) - t^7./(g2^12*y) - (g1*t^7.)/(g2^8*y) - (g2^2*t^7.)/(g1*y) - (g1*g2^10*t^7.)/y - (g2^20*t^7.)/(g1*y) - t^8./(g2^15*y) - (g1*t^8.)/(g2^11*y) - t^8./(g1*g2*y) - (g1*g2^7*t^8.)/y - (g2^17*t^8.)/(g1*y) - (t^4.*y)/g2^3 - (t^5.*y)/g2^6 - (t^7.*y)/g2^12 - (g1*t^7.*y)/g2^8 - (g2^2*t^7.*y)/g1 - g1*g2^10*t^7.*y - (g2^20*t^7.*y)/g1 - (t^8.*y)/g2^15 - (g1*t^8.*y)/g2^11 - (t^8.*y)/(g1*g2) - g1*g2^7*t^8.*y - (g2^17*t^8.*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
47867 | SU3adj1nf2 | $q_1q_2\tilde{q}_1^2$ | 1.4741 | 1.6835 | 0.8756 | [X:[], M:[], q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.01 + 2*t^2.97 + 2*t^3. + t^3.02 + 2*t^3.97 + 2*t^4.01 + t^4.02 + 4*t^4.98 + 4*t^5.01 + t^5.03 + t^5.46 + 2*t^5.48 + t^5.5 + 3*t^5.93 + 3*t^5.97 + 4*t^5.98 - 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail |