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 |
---|---|---|---|---|---|---|---|---|---|
2215 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6691 | 0.8361 | 0.8003 | [M:[1.1045, 0.7165, 0.8955, 0.8955, 0.8358, 0.7165, 1.1045], q:[0.806, 0.5372], qb:[0.3582, 0.7463], phi:[0.3881]] | [M:[[16], [14], [-16], [-16], [-6], [14], [16]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$ | ${}M_{4}M_{7}$ | -2 | 2*t^2.149 + t^2.328 + t^2.507 + t^2.686 + 2*t^3.314 + t^4.03 + 3*t^4.299 + t^4.388 + 3*t^4.478 + 4*t^4.657 + 2*t^4.836 + 3*t^5.015 + t^5.194 + 3*t^5.463 + 3*t^5.642 + t^5.821 - 2*t^6. + t^6.179 + 4*t^6.448 + t^6.537 + 6*t^6.627 + 2*t^6.716 + 7*t^6.806 + t^6.895 + 4*t^6.985 + t^7.074 + 4*t^7.164 + 4*t^7.343 + 2*t^7.522 + 4*t^7.612 + t^7.701 + 6*t^7.791 - t^7.88 + 5*t^7.97 - 5*t^8.149 - t^8.328 + t^8.417 - 4*t^8.507 + 5*t^8.598 - 2*t^8.686 + t^8.775 + 8*t^8.777 + 13*t^8.956 - t^4.164/y - (2*t^6.314)/y - t^6.493/y - t^6.672/y + t^7.299/y + (2*t^7.478)/y + (3*t^7.657)/y + (4*t^7.836)/y + (3*t^8.015)/y + t^8.194/y + t^8.463/y - t^8.821/y - t^4.164*y - 2*t^6.314*y - t^6.493*y - t^6.672*y + t^7.299*y + 2*t^7.478*y + 3*t^7.657*y + 4*t^7.836*y + 3*t^8.015*y + t^8.194*y + t^8.463*y - t^8.821*y | 2*g1^14*t^2.149 + g1^4*t^2.328 + t^2.507/g1^6 + t^2.686/g1^16 + 2*g1^16*t^3.314 + t^4.03/g1^24 + 3*g1^28*t^4.299 + t^4.388/g1^44 + 3*g1^18*t^4.478 + 4*g1^8*t^4.657 + (2*t^4.836)/g1^2 + (3*t^5.015)/g1^12 + t^5.194/g1^22 + 3*g1^30*t^5.463 + 3*g1^20*t^5.642 + g1^10*t^5.821 - 2*t^6. + t^6.179/g1^10 + 4*g1^42*t^6.448 + t^6.537/g1^30 + 6*g1^32*t^6.627 + (2*t^6.716)/g1^40 + 7*g1^22*t^6.806 + t^6.895/g1^50 + 4*g1^12*t^6.985 + t^7.074/g1^60 + 4*g1^2*t^7.164 + (4*t^7.343)/g1^8 + (2*t^7.522)/g1^18 + 4*g1^44*t^7.612 + t^7.701/g1^28 + 6*g1^34*t^7.791 - t^7.88/g1^38 + 5*g1^24*t^7.97 - 5*g1^14*t^8.149 - g1^4*t^8.328 + t^8.417/g1^68 - (4*t^8.507)/g1^6 + 5*g1^56*t^8.598 - (2*t^8.686)/g1^16 + t^8.775/g1^88 + 8*g1^46*t^8.777 + 13*g1^36*t^8.956 - (g1^2*t^4.164)/y - (2*g1^16*t^6.314)/y - (g1^6*t^6.493)/y - t^6.672/(g1^4*y) + (g1^28*t^7.299)/y + (2*g1^18*t^7.478)/y + (3*g1^8*t^7.657)/y + (4*t^7.836)/(g1^2*y) + (3*t^8.015)/(g1^12*y) + t^8.194/(g1^22*y) + (g1^30*t^8.463)/y - (g1^10*t^8.821)/y - g1^2*t^4.164*y - 2*g1^16*t^6.314*y - g1^6*t^6.493*y - (t^6.672*y)/g1^4 + g1^28*t^7.299*y + 2*g1^18*t^7.478*y + 3*g1^8*t^7.657*y + (4*t^7.836*y)/g1^2 + (3*t^8.015*y)/g1^12 + (t^8.194*y)/g1^22 + g1^30*t^8.463*y - g1^10*t^8.821*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 |
---|---|---|---|---|---|---|---|---|
4217 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6513 | 0.8042 | 0.8099 | [M:[1.1073, 0.7189, 0.8927, 0.8927, 0.8348, 0.7189, 1.1073, 1.2232], q:[0.8058, 0.5333], qb:[0.3594, 0.7478], phi:[0.3884]] | 2*t^2.157 + t^2.504 + t^2.678 + 2*t^3.322 + t^3.67 + t^4.017 + 3*t^4.313 + t^4.365 + t^4.487 + 3*t^4.661 + t^4.835 + 2*t^5.009 + t^5.183 + 3*t^5.478 + t^5.652 + 3*t^5.826 - 2*t^6. - t^4.165/y - t^4.165*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 |
---|---|---|---|---|---|---|---|---|---|
1190 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6793 | 0.8531 | 0.7963 | [M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.8049, 0.5128], qb:[0.3657, 0.7558], phi:[0.3902]] | 2*t^2.194 + t^2.341 + t^2.488 + 2*t^2.636 + t^3.364 + t^3.953 + t^4.248 + 3*t^4.388 + 3*t^4.535 + 4*t^4.682 + 4*t^4.829 + 4*t^4.977 + 2*t^5.124 + 2*t^5.271 + t^5.558 + 2*t^5.706 - 2*t^6. - t^4.171/y - t^4.171*y | detail |