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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59505 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 1.474 | 1.683 | 0.8759 | [X:[], M:[0.9971, 1.0029], q:[0.4971, 0.5], qb:[0.5029, 0.4942], phi:[0.3343]] | [X:[], M:[[-3, 3], [3, -3]], q:[[-9, 0], [-6, -3]], qb:[[9, 0], [0, 9]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.01 + t^2.97 + t^2.98 + t^3. + 2*t^3.01 + t^3.98 + t^3.99 + t^4. + 2*t^4.01 + 2*t^4.98 + 2*t^4.99 + 5*t^5.01 + t^5.48 + 2*t^5.49 + t^5.5 + t^5.95 + t^5.96 + t^5.97 + 4*t^5.98 + 2*t^5.99 - 3*t^6. + 2*t^6.01 + 5*t^6.02 - t^6.03 + t^6.48 + t^6.49 + t^6.5 + t^6.51 + t^6.95 + 2*t^6.96 + t^6.97 + t^6.98 + 11*t^6.99 - 2*t^7. + 4*t^7.01 + 5*t^7.02 - t^7.03 + t^7.46 + 2*t^7.48 + t^7.49 + t^7.5 + 2*t^7.51 + t^7.53 + 3*t^7.95 + 4*t^7.96 + 2*t^7.97 + t^7.98 + 10*t^7.99 + 4*t^8. + t^8.01 + 8*t^8.02 - 2*t^8.03 + t^8.45 + 2*t^8.46 + t^8.47 + t^8.48 + 4*t^8.49 + t^8.5 + t^8.51 - 2*t^8.52 - t^8.53 + t^8.92 + t^8.93 + t^8.94 + t^8.95 + 4*t^8.96 + 4*t^8.97 - 2*t^8.98 + 14*t^8.99 - t^4./y - t^5.01/y - t^6.01/y - t^6.98/y - t^6.99/y - t^7./y - (3*t^7.01)/y + t^8./y - t^8.01/y + t^8.96/y + t^8.97/y + (2*t^8.98)/y + t^8.99/y - t^4.*y - t^5.01*y - t^6.01*y - t^6.98*y - t^6.99*y - t^7.*y - 3*t^7.01*y + t^8.*y - t^8.01*y + t^8.96*y + t^8.97*y + 2*t^8.98*y + t^8.99*y | (g1^2*t^2.01)/g2^2 + (g2^9*t^2.97)/g1^9 + (g2^6*t^2.98)/g1^6 + t^3. + (2*g1^3*t^3.01)/g2^3 + (g2^8*t^3.98)/g1^8 + (g2^5*t^3.99)/g1^5 + (g1*t^4.)/g2 + (2*g1^4*t^4.01)/g2^4 + (2*g2^7*t^4.98)/g1^7 + (2*g2^4*t^4.99)/g1^4 + (3*g1^5*t^5.01)/g2^5 + (2*g1^2*t^5.01)/g2^2 + g1^10*g2^17*t^5.48 + t^5.49/(g1^20*g2^7) + t^5.49/(g1^23*g2^4) + g1^19*g2^8*t^5.5 + (g2^18*t^5.95)/g1^18 + (g2^15*t^5.96)/g1^15 + (g2^12*t^5.97)/g1^12 + (4*g2^6*t^5.98)/g1^6 + (2*g2^3*t^5.99)/g1^3 - 3*t^6. + (2*g1^3*t^6.01)/g2^3 + (5*g1^6*t^6.02)/g2^6 - (g1^9*t^6.03)/g2^9 + g1^11*g2^16*t^6.48 + t^6.49/(g1^22*g2^5) + t^6.5/(g1^19*g2^8) + g1^20*g2^7*t^6.51 + (g2^17*t^6.95)/g1^17 + (2*g2^14*t^6.96)/g1^14 + (g2^11*t^6.97)/g1^11 + (g2^8*t^6.98)/g1^8 + (4*g2^2*t^6.99)/g1^2 + (7*g2^5*t^6.99)/g1^5 - (2*g1*t^7.)/g2 + (4*g1^4*t^7.01)/g2^4 + (5*g1^7*t^7.02)/g2^7 - (g1^10*t^7.03)/g2^10 + g1^3*g2^24*t^7.46 + 2*g1^12*g2^15*t^7.48 + (2*t^7.49)/(g1^21*g2^6) - g1^15*g2^12*t^7.49 + (2*t^7.5)/(g1^18*g2^9) - g1^18*g2^9*t^7.5 + 2*g1^21*g2^6*t^7.51 + (g1^30*t^7.53)/g2^3 + (3*g2^16*t^7.95)/g1^16 + (4*g2^13*t^7.96)/g1^13 + (2*g2^10*t^7.97)/g1^10 + (g2^7*t^7.98)/g1^7 + (10*g2^4*t^7.99)/g1^4 + (4*g2*t^8.)/g1 + (5*g1^5*t^8.01)/g2^5 - (4*g1^2*t^8.01)/g2^2 + (8*g1^8*t^8.02)/g2^8 - (2*g1^11*t^8.03)/g2^11 + g1*g2^26*t^8.45 + (g2^5*t^8.46)/g1^32 + g1^4*g2^23*t^8.46 + (2*g2^2*t^8.47)/g1^29 - g1^7*g2^20*t^8.47 + g1^10*g2^17*t^8.48 + (3*t^8.49)/(g1^20*g2^7) - t^8.49/(g1^23*g2^4) - 2*g1^16*g2^11*t^8.49 + 4*g1^13*g2^14*t^8.49 + (2*t^8.5)/(g1^17*g2^10) - g1^19*g2^8*t^8.5 - (2*t^8.51)/(g1^14*g2^13) + 3*g1^22*g2^5*t^8.51 - t^8.52/(g1^11*g2^16) - g1^25*g2^2*t^8.52 - (g1^28*t^8.53)/g2 + (g2^27*t^8.92)/g1^27 + (g2^24*t^8.93)/g1^24 + (g2^21*t^8.94)/g1^21 + (g2^18*t^8.95)/g1^18 + (4*g2^15*t^8.96)/g1^15 - (2*g2^9*t^8.97)/g1^9 + (6*g2^12*t^8.97)/g1^12 - (2*g2^6*t^8.98)/g1^6 + (14*g2^3*t^8.99)/g1^3 - (g1*t^4.)/(g2*y) - (g1^2*t^5.01)/(g2^2*y) - (g1^3*t^6.01)/(g2^3*y) - (g2^8*t^6.98)/(g1^8*y) - (g2^5*t^6.99)/(g1^5*y) - (g1*t^7.)/(g2*y) - (3*g1^4*t^7.01)/(g2^4*y) + (g2*t^8.)/(g1*y) - (g1^5*t^8.01)/(g2^5*y) + (g2^15*t^8.96)/(g1^15*y) + (g2^9*t^8.97)/(g1^9*y) + (2*g2^6*t^8.98)/(g1^6*y) + (g2^3*t^8.99)/(g1^3*y) - (g1*t^4.*y)/g2 - (g1^2*t^5.01*y)/g2^2 - (g1^3*t^6.01*y)/g2^3 - (g2^8*t^6.98*y)/g1^8 - (g2^5*t^6.99*y)/g1^5 - (g1*t^7.*y)/g2 - (3*g1^4*t^7.01*y)/g2^4 + (g2*t^8.*y)/g1 - (g1^5*t^8.01*y)/g2^5 + (g2^15*t^8.96*y)/g1^15 + (g2^9*t^8.97*y)/g1^9 + (2*g2^6*t^8.98*y)/g1^6 + (g2^3*t^8.99*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
57608 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4746 | 1.6852 | 0.875 | [X:[], M:[0.9914], q:[0.4913, 0.4999], qb:[0.5087, 0.4829], phi:[0.3362]] | t^2.02 + t^2.92 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.93 + t^3.96 + t^4.01 + 2*t^4.03 + 2*t^4.94 + 2*t^4.97 + t^4.99 + 2*t^5.02 + 2*t^5.04 + t^5.43 + t^5.46 + t^5.48 + t^5.51 + t^5.85 + t^5.87 + 2*t^5.9 + t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |