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 |
---|---|---|---|---|---|---|---|---|---|
179 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | 0.5873 | 0.7229 | 0.8123 | [M:[1.0, 0.7807], q:[0.5855, 1.0241], qb:[0.4145, 0.4145], phi:[0.3903]] | [M:[[0], [-4]], q:[[-3], [5]], qb:[[3], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 2 | 2*t^2.342 + t^2.487 + 2*t^3. + 2*t^3.658 + 2*t^4.316 + 3*t^4.684 + 3*t^4.829 + t^4.974 + 2*t^5.342 + 2*t^5.487 + 2*t^6. + 2*t^6.145 - 2*t^6.513 + 4*t^6.658 + 2*t^6.803 + 4*t^7.026 + t^7.171 + 5*t^7.316 + t^7.461 + 2*t^7.684 + 4*t^7.974 - t^8.342 + 5*t^8.632 - 2*t^8.855 - t^4.171/y - (2*t^6.513)/y + t^7.684/y + (4*t^7.829)/y + (4*t^8.342)/y + (2*t^8.487)/y - (3*t^8.855)/y - t^4.171*y - 2*t^6.513*y + t^7.684*y + 4*t^7.829*y + 4*t^8.342*y + 2*t^8.487*y - 3*t^8.855*y | (2*t^2.342)/g1^4 + g1^6*t^2.487 + 2*t^3. + 2*g1^4*t^3.658 + 2*g1^8*t^4.316 + (3*t^4.684)/g1^8 + 3*g1^2*t^4.829 + g1^12*t^4.974 + (2*t^5.342)/g1^4 + 2*g1^6*t^5.487 + 2*t^6. + 2*g1^10*t^6.145 - (2*t^6.513)/g1^6 + 4*g1^4*t^6.658 + 2*g1^14*t^6.803 + (4*t^7.026)/g1^12 + t^7.171/g1^2 + 5*g1^8*t^7.316 + g1^18*t^7.461 + (2*t^7.684)/g1^8 + 4*g1^12*t^7.974 - t^8.342/g1^4 + 5*g1^16*t^8.632 - (2*t^8.855)/g1^10 - t^4.171/(g1^2*y) - (2*t^6.513)/(g1^6*y) + t^7.684/(g1^8*y) + (4*g1^2*t^7.829)/y + (4*t^8.342)/(g1^4*y) + (2*g1^6*t^8.487)/y - (3*t^8.855)/(g1^10*y) - (t^4.171*y)/g1^2 - (2*t^6.513*y)/g1^6 + (t^7.684*y)/g1^8 + 4*g1^2*t^7.829*y + (4*t^8.342*y)/g1^4 + 2*g1^6*t^8.487*y - (3*t^8.855*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
281 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6052 | 0.7542 | 0.8024 | [M:[1.0, 0.7685, 0.7685], q:[0.5764, 1.0393], qb:[0.4236, 0.4236], phi:[0.3843]] | 3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. - t^4.153/y - t^4.153*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 |
---|---|---|---|---|---|---|---|---|---|
112 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[1.0, 0.7645], q:[0.6323, 0.9855], qb:[0.3677, 0.4855], phi:[0.3823]] | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. - t^4.147/y - t^4.147*y | detail |