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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58523 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0679 | 1.2079 | 0.8841 | [X:[1.5021], M:[0.7468], q:[0.5036, 1.0014], qb:[0.7496, 0.2518], phi:[0.2489]] | [X:[[6]], M:[[-9]], q:[[10], [4]], qb:[[-1], [5]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.24 + t^2.27 + t^3.01 + 2*t^3.76 + 3*t^4.48 + 5*t^4.51 + t^4.53 + 3*t^5.25 + t^5.28 - t^6. + 3*t^6.03 + 4*t^6.72 + 6*t^6.75 + 9*t^6.77 + t^6.8 + 8*t^7.52 + t^7.54 - 4*t^8.24 + 5*t^8.27 + 3*t^8.29 + 5*t^8.96 + 4*t^8.99 + t^8.24/y^2 - (2*t^8.99)/y^2 - t^3.75/y - t^4.49/y - (2*t^5.99)/y - t^6.01/y - (2*t^6.73)/y - t^6.76/y + t^7.48/y - (3*t^8.23)/y + t^8.25/y - (3*t^8.97)/y - t^3.75*y - t^4.49*y - 2*t^5.99*y - t^6.01*y - 2*t^6.73*y - t^6.76*y + t^7.48*y - 3*t^8.23*y + t^8.25*y - 3*t^8.97*y + t^8.24*y^2 - 2*t^8.99*y^2 | (2*t^2.24)/g1^9 + g1^15*t^2.27 + g1^12*t^3.01 + 2*g1^9*t^3.76 + (3*t^4.48)/g1^18 + 5*g1^6*t^4.51 + g1^30*t^4.53 + 3*g1^3*t^5.25 + g1^27*t^5.28 - t^6. + 3*g1^24*t^6.03 + (4*t^6.72)/g1^27 + (6*t^6.75)/g1^3 + 9*g1^21*t^6.77 + g1^45*t^6.8 + 8*g1^18*t^7.52 + g1^42*t^7.54 - (4*t^8.24)/g1^9 + 5*g1^15*t^8.27 + 3*g1^39*t^8.29 + (5*t^8.96)/g1^36 + (4*t^8.99)/g1^12 + t^8.24/(g1^9*y^2) - (2*t^8.99)/(g1^12*y^2) - t^3.75/(g1^3*y) - t^4.49/(g1^6*y) - (2*t^5.99)/(g1^12*y) - (g1^12*t^6.01)/y - (2*t^6.73)/(g1^15*y) - (g1^9*t^6.76)/y + t^7.48/(g1^18*y) - (3*t^8.23)/(g1^21*y) + (g1^3*t^8.25)/y - (3*t^8.97)/(g1^24*y) - (t^3.75*y)/g1^3 - (t^4.49*y)/g1^6 - (2*t^5.99*y)/g1^12 - g1^12*t^6.01*y - (2*t^6.73*y)/g1^15 - g1^9*t^6.76*y + (t^7.48*y)/g1^18 - (3*t^8.23*y)/g1^21 + g1^3*t^8.25*y - (3*t^8.97*y)/g1^24 + (t^8.24*y^2)/g1^9 - (2*t^8.99*y^2)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
61230 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.0872 | 1.2422 | 0.8752 | [X:[1.5066], M:[0.74, 0.74], q:[0.5111, 1.0044], qb:[0.7489, 0.2555], phi:[0.2467]] | 3*t^2.22 + t^2.3 + t^3.04 + t^3.78 + 6*t^4.44 + 6*t^4.52 + t^4.6 + 4*t^5.26 + t^5.34 - 2*t^6. - t^3.74/y - t^4.48/y - (3*t^5.96)/y - t^3.74*y - t^4.48*y - 3*t^5.96*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
57390 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4458 | 1.6234 | 0.8906 | [X:[1.3682], M:[0.9476], q:[0.484, 0.5051], qb:[0.5684, 0.5473], phi:[0.3159]] | 2*t^2.843 + t^3.094 + t^3.157 + t^3.22 + t^4.041 + 3*t^4.105 + t^4.168 + t^4.989 + 2*t^5.052 + t^5.116 + t^5.367 + t^5.43 + 3*t^5.686 + t^5.937 - t^6. - t^3.948/y - t^4.895/y - t^3.948*y - t^4.895*y | detail |