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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47935 | SU3adj1nf2 | $M_1\phi_1^3$ + $ M_1q_1\tilde{q}_1$ | 1.4747 | 1.6858 | 0.8748 | [X:[], M:[0.9898], q:[0.5051, 0.4847], qb:[0.5051, 0.4847], phi:[0.3367]] | [X:[], M:[[3, 0, 3]], q:[[-3, -1, -3], [9, 0, 0]], qb:[[0, 1, 0], [0, 0, 9]], phi:[[-1, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1^2q_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_1^2$, $ \phi_1^3q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | $\phi_1^3q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + 2*t^3.98 + 2*t^4.04 + 2*t^4.93 + 5*t^4.99 + 2*t^5.05 + 2*t^5.43 + 2*t^5.49 + t^5.82 + 3*t^5.88 + 6*t^5.94 + t^6. + t^6.06 + 2*t^6.44 + 2*t^6.51 + t^6.83 + 5*t^6.89 + 8*t^6.95 + 7*t^7.01 + t^7.07 + 2*t^7.39 + 2*t^7.45 + 2*t^7.52 + 2*t^7.58 + 3*t^7.84 + 9*t^7.9 + 13*t^7.96 + 5*t^8.02 + t^8.08 + 2*t^8.34 + 6*t^8.4 + 4*t^8.46 - 2*t^8.53 - 2*t^8.59 + t^8.73 + 3*t^8.79 + 7*t^8.85 + 11*t^8.91 + 3*t^8.97 - t^4.01/y - t^5.02/y - t^6.03/y - t^6.92/y - (3*t^6.98)/y - (2*t^7.04)/y + t^7.99/y - t^8.05/y + (3*t^8.88)/y + (3*t^8.94)/y - t^4.01*y - t^5.02*y - t^6.03*y - t^6.92*y - 3*t^6.98*y - 2*t^7.04*y + t^7.99*y - t^8.05*y + 3*t^8.88*y + 3*t^8.94*y | t^2.02/(g1^2*g3^2) + g1^9*g3^9*t^2.91 + g1^9*g2*t^2.97 + g1^3*g3^3*t^2.97 + (g3^6*t^2.97)/(g1^3*g2) + t^3.03/(g1^3*g3^3) + g1^8*g3^8*t^3.92 + (g1^8*g2*t^3.98)/g3 + (g3^5*t^3.98)/(g1^4*g2) + (2*t^4.04)/(g1^4*g3^4) + 2*g1^7*g3^7*t^4.93 + (2*g1^7*g2*t^4.99)/g3^2 + g1*g3*t^4.99 + (2*g3^4*t^4.99)/(g1^5*g2) + (2*t^5.05)/(g1^5*g3^5) + (g1^14*t^5.43)/(g2*g3^4) + (g2*g3^17*t^5.43)/g1 + (g1^2*t^5.49)/(g2^2*g3^7) + (g2^2*g3^8*t^5.49)/g1 + g1^18*g3^18*t^5.82 + g1^18*g2*g3^9*t^5.88 + g1^12*g3^12*t^5.88 + (g1^6*g3^15*t^5.88)/g2 + g1^18*g2^2*t^5.94 + 4*g1^6*g3^6*t^5.94 + (g3^12*t^5.94)/(g1^6*g2^2) - 3*t^6. + (2*g1^6*g2*t^6.)/g3^3 + (2*g3^3*t^6.)/(g1^6*g2) - (g2*t^6.06)/g3^9 + (3*t^6.06)/(g1^6*g3^6) - t^6.06/(g1^12*g2*g3^3) + (g1^13*t^6.44)/(g2*g3^5) + (g2*g3^16*t^6.44)/g1^2 + (g1*t^6.51)/(g2^2*g3^8) + (g2^2*g3^7*t^6.51)/g1^2 + g1^17*g3^17*t^6.83 + 2*g1^17*g2*g3^8*t^6.89 + g1^11*g3^11*t^6.89 + (2*g1^5*g3^14*t^6.89)/g2 + (g1^17*g2^2*t^6.95)/g3 + 6*g1^5*g3^5*t^6.95 + (g3^11*t^6.95)/(g1^7*g2^2) + (4*g1^5*g2*t^7.01)/g3^4 - t^7.01/(g1*g3) + (4*g3^2*t^7.01)/(g1^7*g2) - (g2*t^7.07)/(g1*g3^10) + (3*t^7.07)/(g1^7*g3^7) - t^7.07/(g1^13*g2*g3^4) + (g1^24*t^7.39)/g3^3 + (g3^24*t^7.39)/g1^3 + (2*g1^12*t^7.45)/(g2*g3^6) - (g1^6*t^7.45)/(g2^2*g3^3) - g1^3*g2^2*g3^12*t^7.45 + (2*g2*g3^15*t^7.45)/g1^3 - (g1^6*t^7.52)/(g2*g3^12) + (2*t^7.52)/(g2^2*g3^9) + (2*g2^2*g3^6*t^7.52)/g1^3 - (g2*g3^9*t^7.52)/g1^9 + t^7.58/(g1^12*g2^3*g3^12) + (g2^3*t^7.58)/(g1^3*g3^3) + 3*g1^16*g3^16*t^7.84 + 4*g1^16*g2*g3^7*t^7.9 + g1^10*g3^10*t^7.9 + (4*g1^4*g3^13*t^7.9)/g2 + (3*g1^16*g2^2*t^7.96)/g3^2 - g1^10*g2*g3*t^7.96 + 9*g1^4*g3^4*t^7.96 - (g3^7*t^7.96)/(g1^2*g2) + (3*g3^10*t^7.96)/(g1^8*g2^2) + (5*g1^4*g2*t^8.02)/g3^5 - (5*t^8.02)/(g1^2*g3^2) + (5*g3*t^8.02)/(g1^8*g2) - (2*g2*t^8.08)/(g1^2*g3^11) + (5*t^8.08)/(g1^8*g3^8) - (2*t^8.08)/(g1^14*g2*g3^5) + (g1^23*g3^5*t^8.34)/g2 + g1^8*g2*g3^26*t^8.34 + (g1^23*t^8.4)/g3^4 + (2*g1^11*g3^2*t^8.4)/g2^2 + 2*g1^8*g2^2*g3^17*t^8.4 + (g3^23*t^8.4)/g1^4 - (g1^17*t^8.46)/g3^10 + (3*g1^11*t^8.46)/(g2*g3^7) - (g1^5*t^8.46)/(g2^2*g3^4) + t^8.46/(g1*g2^3*g3) + g1^8*g2^3*g3^8*t^8.46 - g1^2*g2^2*g3^11*t^8.46 + (3*g2*g3^14*t^8.46)/g1^4 - (g3^17*t^8.46)/g1^10 - (2*g1^5*t^8.53)/(g2*g3^13) + (2*t^8.53)/(g1*g2^2*g3^10) - t^8.53/(g1^7*g2^3*g3^7) - g1^2*g2^3*g3^2*t^8.53 + (2*g2^2*g3^5*t^8.53)/g1^4 - (2*g2*g3^8*t^8.53)/g1^10 - t^8.59/(g1^7*g2^2*g3^16) - (g2^2*t^8.59)/(g1^10*g3) + g1^27*g3^27*t^8.73 + g1^27*g2*g3^18*t^8.79 + g1^21*g3^21*t^8.79 + (g1^15*g3^24*t^8.79)/g2 + g1^27*g2^2*g3^9*t^8.85 + 5*g1^15*g3^15*t^8.85 + (g1^3*g3^21*t^8.85)/g2^2 + g1^27*g2^3*t^8.91 + 6*g1^15*g2*g3^6*t^8.91 - 3*g1^9*g3^9*t^8.91 + (6*g1^3*g3^12*t^8.91)/g2 + (g3^18*t^8.91)/(g1^9*g2^3) - 6*g1^9*g2*t^8.97 + (3*g1^15*g2^2*t^8.97)/g3^3 + 9*g1^3*g3^3*t^8.97 - (6*g3^6*t^8.97)/(g1^3*g2) + (3*g3^9*t^8.97)/(g1^9*g2^2) - t^4.01/(g1*g3*y) - t^5.02/(g1^2*g3^2*y) - t^6.03/(g1^3*g3^3*y) - (g1^8*g3^8*t^6.92)/y - (g1^8*g2*t^6.98)/(g3*y) - (g1^2*g3^2*t^6.98)/y - (g3^5*t^6.98)/(g1^4*g2*y) - (2*t^7.04)/(g1^4*g3^4*y) + (g1*g3*t^7.99)/y - t^8.05/(g1^5*g3^5*y) + (g1^18*g2*g3^9*t^8.88)/y + (g1^12*g3^12*t^8.88)/y + (g1^6*g3^15*t^8.88)/(g2*y) + (g1^12*g2*g3^3*t^8.94)/y + (g1^6*g3^6*t^8.94)/y + (g3^9*t^8.94)/(g2*y) - (t^4.01*y)/(g1*g3) - (t^5.02*y)/(g1^2*g3^2) - (t^6.03*y)/(g1^3*g3^3) - g1^8*g3^8*t^6.92*y - (g1^8*g2*t^6.98*y)/g3 - g1^2*g3^2*t^6.98*y - (g3^5*t^6.98*y)/(g1^4*g2) - (2*t^7.04*y)/(g1^4*g3^4) + g1*g3*t^7.99*y - (t^8.05*y)/(g1^5*g3^5) + g1^18*g2*g3^9*t^8.88*y + g1^12*g3^12*t^8.88*y + (g1^6*g3^15*t^8.88*y)/g2 + g1^12*g2*g3^3*t^8.94*y + g1^6*g3^6*t^8.94*y + (g3^9*t^8.94*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|---|
47870 | SU3adj1nf2 | $M_1\phi_1^3$ | 1.4767 | 1.6956 | 0.8709 | [X:[], M:[0.961], q:[0.4805, 0.4805], qb:[0.4805, 0.4805], phi:[0.3463]] | t^2.08 + 5*t^2.88 + 4*t^3.92 + t^4.16 + 9*t^4.96 + 4*t^5.36 + 15*t^5.77 - 4*t^6. - t^4.04/y - t^5.08/y - t^4.04*y - t^5.08*y | detail |