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 |
---|---|---|---|---|---|---|---|---|---|
2625 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6491 | 0.7921 | 0.8194 | [M:[1.0283, 0.7746, 0.9649, 0.8381, 1.1619, 0.9717, 1.2254], q:[0.5844, 0.3873], qb:[0.4507, 0.7746], phi:[0.4507]] | [M:[[-18], [2], [-13], [-3], [3], [18], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{6}^{2}$ | ${}$ | -2 | t^2.514 + t^2.704 + t^2.895 + t^2.915 + t^3.486 + 2*t^3.676 + t^3.866 + t^4.057 + t^4.077 + t^4.267 + t^4.458 + t^4.858 + t^5.028 + t^5.219 + t^5.409 + t^5.429 + t^5.619 + t^5.789 + t^5.83 - 2*t^6. + t^6.19 + 3*t^6.381 + 3*t^6.571 + t^6.591 + t^6.761 + t^6.781 + 2*t^6.972 + t^6.992 + t^7.162 + t^7.182 + t^7.352 + t^7.373 + 2*t^7.542 + t^7.563 + 3*t^7.733 + t^7.753 + t^7.773 + 2*t^7.923 + 2*t^7.943 + t^8.113 + 2*t^8.134 + 2*t^8.344 + t^8.494 - 2*t^8.514 + 3*t^8.534 + t^8.684 - 2*t^8.704 + t^8.745 - t^8.895 - 2*t^8.915 + t^8.935 - t^4.352/y - t^7.057/y - t^7.247/y + t^7.458/y + t^7.648/y + t^8.219/y + t^8.409/y + t^8.429/y + t^8.599/y + t^8.619/y + t^8.81/y - t^4.352*y - t^7.057*y - t^7.247*y + t^7.458*y + t^7.648*y + t^8.219*y + t^8.409*y + t^8.429*y + t^8.599*y + t^8.619*y + t^8.81*y | t^2.514/g1^3 + t^2.704/g1^8 + t^2.895/g1^13 + g1^18*t^2.915 + g1^3*t^3.486 + (2*t^3.676)/g1^2 + t^3.866/g1^7 + t^4.057/g1^12 + g1^19*t^4.077 + g1^14*t^4.267 + g1^9*t^4.458 + g1^30*t^4.858 + t^5.028/g1^6 + t^5.219/g1^11 + t^5.409/g1^16 + g1^15*t^5.429 + g1^10*t^5.619 + t^5.789/g1^26 + g1^36*t^5.83 - 2*t^6. + t^6.19/g1^5 + (3*t^6.381)/g1^10 + (3*t^6.571)/g1^15 + g1^16*t^6.591 + t^6.761/g1^20 + g1^11*t^6.781 + 2*g1^6*t^6.972 + g1^37*t^6.992 + g1*t^7.162 + g1^32*t^7.182 + t^7.352/g1^4 + g1^27*t^7.373 + (2*t^7.542)/g1^9 + g1^22*t^7.563 + (3*t^7.733)/g1^14 + g1^17*t^7.753 + g1^48*t^7.773 + (2*t^7.923)/g1^19 + 2*g1^12*t^7.943 + t^8.113/g1^24 + 2*g1^7*t^8.134 + 2*g1^33*t^8.344 + t^8.494/g1^34 - (2*t^8.514)/g1^3 + 3*g1^28*t^8.534 + t^8.684/g1^39 - (2*t^8.704)/g1^8 + g1^54*t^8.745 - t^8.895/g1^13 - 2*g1^18*t^8.915 + g1^49*t^8.935 - t^4.352/(g1^4*y) - t^7.057/(g1^12*y) - t^7.247/(g1^17*y) + (g1^9*t^7.458)/y + (g1^4*t^7.648)/y + t^8.219/(g1^11*y) + t^8.409/(g1^16*y) + (g1^15*t^8.429)/y + t^8.599/(g1^21*y) + (g1^10*t^8.619)/y + (g1^5*t^8.81)/y - (t^4.352*y)/g1^4 - (t^7.057*y)/g1^12 - (t^7.247*y)/g1^17 + g1^9*t^7.458*y + g1^4*t^7.648*y + (t^8.219*y)/g1^11 + (t^8.409*y)/g1^16 + g1^15*t^8.429*y + (t^8.599*y)/g1^21 + g1^10*t^8.619*y + g1^5*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
4739 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6694 | 0.8308 | 0.8058 | [M:[1.034, 0.774, 0.969, 0.839, 1.161, 0.966, 1.226, 0.709], q:[0.579, 0.387], qb:[0.452, 0.774], phi:[0.452]] | t^2.127 + t^2.517 + t^2.712 + t^2.898 + t^2.907 + t^3.483 + 2*t^3.678 + t^4.059 + t^4.068 + 2*t^4.254 + t^4.449 + t^4.644 + t^4.83 + t^4.839 + t^5.025 + 2*t^5.034 + t^5.229 + t^5.415 + t^5.424 + 2*t^5.61 + t^5.796 + 2*t^5.805 + t^5.814 - 2*t^6. - t^4.356/y - t^4.356*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 |
---|---|---|---|---|---|---|---|---|---|
1560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.667 | 0.8243 | 0.8092 | [M:[1.032, 0.7742, 0.9676, 0.8387, 1.1613, 0.968], q:[0.5809, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.709 + t^2.903 + t^2.904 + t^3.484 + t^3.677 + t^3.871 + t^4.064 + t^4.065 + t^4.259 + t^4.452 + t^4.645 + t^4.839 + t^4.84 + 2*t^5.032 + 2*t^5.225 + t^5.227 + t^5.419 + t^5.42 + t^5.613 + t^5.805 + t^5.807 + t^5.808 - t^6. - t^4.355/y - t^4.355*y | detail |