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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[16], [14], [-16], [-16], [-6], [14]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 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^6.147 + t^6.442 + 4*t^6.582 + 3*t^6.589 + 4*t^6.729 + t^6.736 + 7*t^6.876 + 2*t^6.883 + 7*t^7.023 + 7*t^7.171 + 7*t^7.318 + 6*t^7.465 + 4*t^7.612 + t^7.752 + t^7.759 + 3*t^7.9 + 2*t^7.907 + t^8.047 - 6*t^8.194 + t^8.201 - 2*t^8.341 - 5*t^8.488 + t^8.495 - 4*t^8.636 + 5*t^8.776 + t^8.783 + 5*t^8.923 + 3*t^8.93 - t^4.171/y - (2*t^6.364)/y - t^6.512/y - t^6.659/y - t^6.806/y + t^7.388/y + (3*t^7.535)/y + (3*t^7.682)/y + (6*t^7.829)/y + (4*t^7.977)/y + (2*t^8.124)/y + t^8.271/y - t^8.558/y - t^8.706/y - (2*t^8.853)/y - t^4.171*y - 2*t^6.364*y - t^6.512*y - t^6.659*y - t^6.806*y + t^7.388*y + 3*t^7.535*y + 3*t^7.682*y + 6*t^7.829*y + 4*t^7.977*y + 2*t^8.124*y + t^8.271*y - t^8.558*y - t^8.706*y - 2*t^8.853*y | 2*g1^14*t^2.194 + g1^4*t^2.341 + t^2.488/g1^6 + (2*t^2.636)/g1^16 + g1^16*t^3.364 + t^3.953/g1^24 + t^4.248/g1^44 + 3*g1^28*t^4.388 + 3*g1^18*t^4.535 + 4*g1^8*t^4.682 + (4*t^4.829)/g1^2 + (4*t^4.977)/g1^12 + (2*t^5.124)/g1^22 + (2*t^5.271)/g1^32 + g1^30*t^5.558 + 2*g1^20*t^5.706 - 2*t^6. + t^6.147/g1^10 + t^6.442/g1^30 + 4*g1^42*t^6.582 + (3*t^6.589)/g1^40 + 4*g1^32*t^6.729 + t^6.736/g1^50 + 7*g1^22*t^6.876 + (2*t^6.883)/g1^60 + 7*g1^12*t^7.023 + 7*g1^2*t^7.171 + (7*t^7.318)/g1^8 + (6*t^7.465)/g1^18 + (4*t^7.612)/g1^28 + g1^44*t^7.752 + t^7.759/g1^38 + 3*g1^34*t^7.9 + (2*t^7.907)/g1^48 + g1^24*t^8.047 - 6*g1^14*t^8.194 + t^8.201/g1^68 - 2*g1^4*t^8.341 - (5*t^8.488)/g1^6 + t^8.495/g1^88 - (4*t^8.636)/g1^16 + 5*g1^56*t^8.776 + t^8.783/g1^26 + 5*g1^46*t^8.923 + (3*t^8.93)/g1^36 - (g1^2*t^4.171)/y - (2*g1^16*t^6.364)/y - (g1^6*t^6.512)/y - t^6.659/(g1^4*y) - t^6.806/(g1^14*y) + (g1^28*t^7.388)/y + (3*g1^18*t^7.535)/y + (3*g1^8*t^7.682)/y + (6*t^7.829)/(g1^2*y) + (4*t^7.977)/(g1^12*y) + (2*t^8.124)/(g1^22*y) + t^8.271/(g1^32*y) - (g1^30*t^8.558)/y - (g1^20*t^8.706)/y - (2*g1^10*t^8.853)/y - g1^2*t^4.171*y - 2*g1^16*t^6.364*y - g1^6*t^6.512*y - (t^6.659*y)/g1^4 - (t^6.806*y)/g1^14 + g1^28*t^7.388*y + 3*g1^18*t^7.535*y + 3*g1^8*t^7.682*y + (6*t^7.829*y)/g1^2 + (4*t^7.977*y)/g1^12 + (2*t^8.124*y)/g1^22 + (t^8.271*y)/g1^32 - g1^30*t^8.558*y - g1^20*t^8.706*y - 2*g1^10*t^8.853*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 |
---|---|---|---|---|---|---|---|---|
2215 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 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]] | 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^4.164/y - t^4.164*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 |
---|---|---|---|---|---|---|---|---|---|
724 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], phi:[0.3909]] | t^2.21 + t^2.346 + t^2.481 + 2*t^2.617 + t^3.383 + t^3.79 + t^3.926 + t^4.198 + t^4.42 + 2*t^4.556 + 3*t^4.691 + 2*t^4.827 + 4*t^4.963 + 2*t^5.099 + 2*t^5.235 + 2*t^5.728 - t^6. - t^4.173/y - t^4.173*y | detail |