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 |
---|---|---|---|---|---|---|---|---|---|
46348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7023 | 0.8571 | 0.8194 | [M:[1.0459, 0.9082, 0.9541, 1.0], q:[0.5, 0.4541], qb:[0.5918, 0.5459], phi:[0.477]] | [M:[[2], [-4], [-2], [0]], q:[[0], [-2]], qb:[[4], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1 | t^2.724 + 2*t^2.862 + t^3. + 2*t^3.138 + t^3.413 + t^4.156 + t^4.293 + 2*t^4.431 + 2*t^4.569 + 2*t^4.707 + t^4.844 + t^4.982 + t^5.449 + t^5.587 + 2*t^5.724 + t^5.862 + t^6. + 2*t^6.276 + 2*t^6.551 + t^6.827 + t^6.88 + 2*t^7.018 + 3*t^7.156 + 4*t^7.293 + 4*t^7.431 + 4*t^7.569 + 3*t^7.707 + 3*t^7.844 + 2*t^7.982 + 2*t^8.12 + t^8.173 + t^8.258 + 2*t^8.311 + t^8.396 + 2*t^8.449 + 3*t^8.587 - t^4.431/y - t^7.156/y - t^7.293/y + t^7.569/y + t^7.707/y + (2*t^8.587)/y + (2*t^8.724)/y + (4*t^8.862)/y - t^4.431*y - t^7.156*y - t^7.293*y + t^7.569*y + t^7.707*y + 2*t^8.587*y + 2*t^8.724*y + 4*t^8.862*y | t^2.724/g1^4 + (2*t^2.862)/g1^2 + t^3. + 2*g1^2*t^3.138 + g1^6*t^3.413 + t^4.156/g1^5 + t^4.293/g1^3 + (2*t^4.431)/g1 + 2*g1*t^4.569 + 2*g1^3*t^4.707 + g1^5*t^4.844 + g1^7*t^4.982 + t^5.449/g1^8 + t^5.587/g1^6 + (2*t^5.724)/g1^4 + t^5.862/g1^2 + t^6. + 2*g1^4*t^6.276 + 2*g1^8*t^6.551 + g1^12*t^6.827 + t^6.88/g1^9 + (2*t^7.018)/g1^7 + (3*t^7.156)/g1^5 + (4*t^7.293)/g1^3 + (4*t^7.431)/g1 + 4*g1*t^7.569 + 3*g1^3*t^7.707 + 3*g1^5*t^7.844 + 2*g1^7*t^7.982 + 2*g1^9*t^8.12 + t^8.173/g1^12 + g1^11*t^8.258 + (2*t^8.311)/g1^10 + g1^13*t^8.396 + (2*t^8.449)/g1^8 + (3*t^8.587)/g1^6 - t^4.431/(g1*y) - t^7.156/(g1^5*y) - t^7.293/(g1^3*y) + (g1*t^7.569)/y + (g1^3*t^7.707)/y + (2*t^8.587)/(g1^6*y) + (2*t^8.724)/(g1^4*y) + (4*t^8.862)/(g1^2*y) - (t^4.431*y)/g1 - (t^7.156*y)/g1^5 - (t^7.293*y)/g1^3 + g1*t^7.569*y + g1^3*t^7.707*y + (2*t^8.587*y)/g1^6 + (2*t^8.724*y)/g1^4 + (4*t^8.862*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
47000 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6985 | 0.8513 | 0.8205 | [M:[1.0369, 0.9263, 0.9631, 1.0, 1.0369], q:[0.5, 0.4631], qb:[0.5737, 0.5369], phi:[0.4816]] | t^2.779 + t^2.889 + t^3. + 3*t^3.111 + t^3.332 + t^4.223 + t^4.334 + 2*t^4.445 + 2*t^4.555 + 2*t^4.666 + t^4.777 + t^4.887 + t^5.558 + t^5.889 - t^4.445/y - t^4.445*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 |
---|---|---|---|---|---|---|---|---|---|
46140 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ | 0.7077 | 0.8618 | 0.8212 | [M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | t^2.584 + t^2.792 + 3*t^3. + 2*t^3.416 + 6*t^4.396 + 3*t^4.812 + t^5.169 + t^5.227 + t^5.377 + t^5.584 + 3*t^5.792 - 2*t^6. - t^4.396/y - t^4.396*y | detail |