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 |
---|---|---|---|---|---|---|---|---|---|
860 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6298 | 0.8212 | 0.7669 | [M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | [M:[[4], [-12], [4], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}$ | -6 | 4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. + 2*t^6.188 + 12*t^6.491 + 3*t^6.564 + 16*t^6.679 - 2*t^7.056 + 6*t^7.171 + 15*t^7.359 - 2*t^7.547 + 12*t^7.735 + 4*t^7.85 + 22*t^8.038 - 24*t^8.226 + 4*t^8.415 + 5*t^8.53 + 32*t^8.718 + 8*t^8.791 + 8*t^8.906 - t^4.547/y - (2*t^6.774)/y + t^7.265/y + (5*t^7.453)/y + t^7.641/y - t^7.829/y + (8*t^8.132)/y + (2*t^8.321)/y + (8*t^8.509)/y + (9*t^8.812)/y - t^4.547*y - 2*t^6.774*y + t^7.265*y + 5*t^7.453*y + t^7.641*y - t^7.829*y + 8*t^8.132*y + 2*t^8.321*y + 8*t^8.509*y + 9*t^8.812*y | 4*g1*t^2.226 + 2*g1^4*t^2.906 + (2*t^3.282)/g1^12 + 2*g1^7*t^3.585 + 3*g1^10*t^4.265 + 10*g1^2*t^4.453 + 8*g1^5*t^5.132 + (6*t^5.509)/g1^11 + 10*g1^8*t^5.812 - 6*t^6. + (2*t^6.188)/g1^8 + 12*g1^11*t^6.491 + (3*t^6.564)/g1^24 + 16*g1^3*t^6.679 - (2*t^7.056)/g1^13 + 6*g1^14*t^7.171 + 15*g1^6*t^7.359 - (2*t^7.547)/g1^2 + (12*t^7.735)/g1^10 + 4*g1^17*t^7.85 + 22*g1^9*t^8.038 - 24*g1*t^8.226 + (4*t^8.415)/g1^7 + 5*g1^20*t^8.53 + 32*g1^12*t^8.718 + (8*t^8.791)/g1^23 + 8*g1^4*t^8.906 - t^4.547/(g1^2*y) - (2*t^6.774)/(g1*y) + (g1^10*t^7.265)/y + (5*g1^2*t^7.453)/y + t^7.641/(g1^6*y) - t^7.829/(g1^14*y) + (8*g1^5*t^8.132)/y + (2*t^8.321)/(g1^3*y) + (8*t^8.509)/(g1^11*y) + (9*g1^8*t^8.812)/y - (t^4.547*y)/g1^2 - (2*t^6.774*y)/g1 + g1^10*t^7.265*y + 5*g1^2*t^7.453*y + (t^7.641*y)/g1^6 - (t^7.829*y)/g1^14 + 8*g1^5*t^8.132*y + (2*t^8.321*y)/g1^3 + (8*t^8.509*y)/g1^11 + 9*g1^8*t^8.812*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 |
---|---|---|---|---|---|---|---|---|
2019 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6465 | 0.8499 | 0.7606 | [M:[0.9772, 1.0684, 0.9772, 0.7443, 0.7443, 0.7899], q:[0.7443, 0.2785], qb:[0.4658, 0.4658], phi:[0.5114]] | 4*t^2.233 + t^2.37 + 2*t^2.932 + 2*t^3.205 + t^3.63 + 3*t^4.329 + 10*t^4.466 + 4*t^4.603 + t^4.739 + 8*t^5.165 + 2*t^5.301 + 6*t^5.438 + 2*t^5.575 + 6*t^5.863 - 5*t^6. - t^4.534/y - t^4.534*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 |
---|---|---|---|---|---|---|---|---|---|
547 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6104 | 0.7857 | 0.777 | [M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]] | 3*t^2.227 + 2*t^2.908 + 2*t^3.275 + 2*t^3.59 + t^3.773 + 3*t^4.271 + 6*t^4.454 + 6*t^5.136 + 4*t^5.502 + 8*t^5.817 - 3*t^6. - t^4.546/y - t^4.546*y | detail |