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 |
---|---|---|---|---|---|---|---|---|---|
3665 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6097 | 0.7822 | 0.7795 | [M:[1.0, 1.0379, 0.9243, 0.7216, 1.2784, 0.6837], q:[0.7595, 0.2405], qb:[0.5189, 0.5568], phi:[0.4811]] | [M:[[0], [4], [-8], [-3], [3], [-7]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | t^2.051 + t^2.278 + t^2.392 + t^2.773 + t^2.886 + t^3. + t^3.114 + t^3.722 + 2*t^3.835 + t^4.102 + t^4.33 + t^4.443 + 2*t^4.557 + 2*t^4.67 + 2*t^4.784 + t^4.824 + t^4.938 + t^5.051 + 2*t^5.165 + 2*t^5.278 + 2*t^5.392 + t^5.506 + t^5.546 + t^5.659 + 3*t^5.773 + 2*t^5.886 - t^6. + 2*t^6.114 + t^6.154 + 2*t^6.227 + t^6.381 + t^6.494 + 3*t^6.608 + 2*t^6.722 + 3*t^6.835 + t^6.875 + 2*t^6.949 + t^6.989 + 2*t^7.062 + t^7.102 + 2*t^7.176 + 2*t^7.216 + 2*t^7.33 + 2*t^7.443 + 3*t^7.557 + t^7.597 + 5*t^7.67 + t^7.71 + 2*t^7.784 + 3*t^7.824 + t^7.898 + 2*t^7.938 + 2*t^8.165 + t^8.205 + t^8.318 + 2*t^8.432 + 2*t^8.506 + 3*t^8.546 + 3*t^8.619 + 5*t^8.659 + t^8.926 - t^4.443/y - t^6.494/y - t^7.216/y + t^7.33/y + t^7.443/y + (2*t^7.67)/y + t^7.824/y + t^7.938/y + (2*t^8.051)/y + (3*t^8.165)/y + (2*t^8.278)/y + (3*t^8.392)/y + t^8.506/y - t^8.546/y + t^8.659/y + (2*t^8.773)/y + (4*t^8.886)/y - t^4.443*y - t^6.494*y - t^7.216*y + t^7.33*y + t^7.443*y + 2*t^7.67*y + t^7.824*y + t^7.938*y + 2*t^8.051*y + 3*t^8.165*y + 2*t^8.278*y + 3*t^8.392*y + t^8.506*y - t^8.546*y + t^8.659*y + 2*t^8.773*y + 4*t^8.886*y | t^2.051/g1^7 + g1*t^2.278 + g1^5*t^2.392 + t^2.773/g1^8 + t^2.886/g1^4 + t^3. + g1^4*t^3.114 + t^3.722/g1 + 2*g1^3*t^3.835 + t^4.102/g1^14 + t^4.33/g1^6 + t^4.443/g1^2 + 2*g1^2*t^4.557 + 2*g1^6*t^4.67 + 2*g1^10*t^4.784 + t^4.824/g1^15 + t^4.938/g1^11 + t^5.051/g1^7 + (2*t^5.165)/g1^3 + 2*g1*t^5.278 + 2*g1^5*t^5.392 + g1^9*t^5.506 + t^5.546/g1^16 + t^5.659/g1^12 + (3*t^5.773)/g1^8 + (2*t^5.886)/g1^4 - t^6. + 2*g1^4*t^6.114 + t^6.154/g1^21 + 2*g1^8*t^6.227 + t^6.381/g1^13 + t^6.494/g1^9 + (3*t^6.608)/g1^5 + (2*t^6.722)/g1 + 3*g1^3*t^6.835 + t^6.875/g1^22 + 2*g1^7*t^6.949 + t^6.989/g1^18 + 2*g1^11*t^7.062 + t^7.102/g1^14 + 2*g1^15*t^7.176 + (2*t^7.216)/g1^10 + (2*t^7.33)/g1^6 + (2*t^7.443)/g1^2 + 3*g1^2*t^7.557 + t^7.597/g1^23 + 5*g1^6*t^7.67 + t^7.71/g1^19 + 2*g1^10*t^7.784 + (3*t^7.824)/g1^15 + g1^14*t^7.898 + (2*t^7.938)/g1^11 + (2*t^8.165)/g1^3 + t^8.205/g1^28 + t^8.318/g1^24 + (2*t^8.432)/g1^20 + 2*g1^9*t^8.506 + (3*t^8.546)/g1^16 + 3*g1^13*t^8.619 + (5*t^8.659)/g1^12 + t^8.926/g1^29 - t^4.443/(g1^2*y) - t^6.494/(g1^9*y) - t^7.216/(g1^10*y) + t^7.33/(g1^6*y) + t^7.443/(g1^2*y) + (2*g1^6*t^7.67)/y + t^7.824/(g1^15*y) + t^7.938/(g1^11*y) + (2*t^8.051)/(g1^7*y) + (3*t^8.165)/(g1^3*y) + (2*g1*t^8.278)/y + (3*g1^5*t^8.392)/y + (g1^9*t^8.506)/y - t^8.546/(g1^16*y) + t^8.659/(g1^12*y) + (2*t^8.773)/(g1^8*y) + (4*t^8.886)/(g1^4*y) - (t^4.443*y)/g1^2 - (t^6.494*y)/g1^9 - (t^7.216*y)/g1^10 + (t^7.33*y)/g1^6 + (t^7.443*y)/g1^2 + 2*g1^6*t^7.67*y + (t^7.824*y)/g1^15 + (t^7.938*y)/g1^11 + (2*t^8.051*y)/g1^7 + (3*t^8.165*y)/g1^3 + 2*g1*t^8.278*y + 3*g1^5*t^8.392*y + g1^9*t^8.506*y - (t^8.546*y)/g1^16 + (t^8.659*y)/g1^12 + (2*t^8.773*y)/g1^8 + (4*t^8.886*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3935 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7761 | 0.7799 | [M:[1.0, 1.0095, 0.981, 0.7429, 1.2571, 0.7334, 1.019], q:[0.7524, 0.2476], qb:[0.5047, 0.5142], phi:[0.4953]] | t^2.2 + t^2.257 + t^2.286 + t^2.972 + t^3. + t^3.028 + t^3.057 + t^3.743 + 2*t^3.771 + t^4.4 + t^4.457 + t^4.486 + 2*t^4.514 + 2*t^4.543 + 2*t^4.571 + t^5.172 + t^5.229 + 3*t^5.257 + 2*t^5.286 + 2*t^5.314 + t^5.342 + 2*t^5.943 + t^5.972 - t^6. - t^4.486/y - t^4.486*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 |
---|---|---|---|---|---|---|---|---|---|
3244 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.589 | 0.742 | 0.7938 | [M:[1.0, 1.0346, 0.9307, 0.724, 1.276], q:[0.7587, 0.2413], qb:[0.5173, 0.552], phi:[0.4827]] | t^2.276 + t^2.38 + t^2.792 + t^2.896 + t^3. + t^3.104 + t^3.724 + 2*t^3.828 + t^3.932 + 2*t^4.552 + 2*t^4.656 + 2*t^4.76 + t^5.172 + 2*t^5.276 + 2*t^5.38 + t^5.484 + t^5.584 + t^5.688 + 2*t^5.792 - t^6. - t^4.448/y - t^4.448*y | detail |