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 |
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56576 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6565 | 0.8082 | 0.8123 | [X:[1.4284], M:[0.8582, 1.0, 1.1418, 0.7134, 0.5716, 0.8582, 1.1433], q:[0.3567, 0.7851], qb:[0.6433, 0.5015], phi:[0.4284]] | [X:[[1]], M:[[-5], [0], [5], [4], [-1], [-5], [-2]], q:[[2], [3]], qb:[[-2], [-7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{2}$ | -1 | t^2.14 + 2*t^2.575 + t^3. + t^3.425 + t^3.43 + t^3.434 + t^3.86 + t^4.281 + 2*t^4.285 + t^4.294 + t^4.71 + t^4.715 + t^4.719 + 2*t^5.145 + 2*t^5.149 + 2*t^5.57 + t^5.575 + t^5.996 - t^6. + 2*t^6.004 + 2*t^6.009 + t^6.421 + t^6.43 + 2*t^6.434 + t^6.855 + 3*t^6.86 + t^6.864 + 3*t^6.869 + 2*t^7.285 + t^7.29 + 3*t^7.294 + 2*t^7.71 + 5*t^7.719 + 2*t^7.724 + t^7.728 + t^8.136 - 3*t^8.14 + 4*t^8.145 + 2*t^8.154 + t^8.561 - t^8.566 + 4*t^8.57 - 5*t^8.575 + 5*t^8.579 + 2*t^8.583 + t^8.588 + 2*t^8.996 - t^4.285/y - t^6.425/y - t^6.86/y + t^7.71/y + (2*t^7.715)/y + t^8.14/y + t^8.145/y + t^8.149/y + t^8.57/y + (3*t^8.575)/y - t^4.285*y - t^6.425*y - t^6.86*y + t^7.71*y + 2*t^7.715*y + t^8.14*y + t^8.145*y + t^8.149*y + t^8.57*y + 3*t^8.575*y | g1^4*t^2.14 + (2*t^2.575)/g1^5 + t^3. + g1^5*t^3.425 + t^3.43/g1^2 + t^3.434/g1^9 + t^3.86/g1^4 + g1^8*t^4.281 + 2*g1*t^4.285 + t^4.294/g1^13 + g1^6*t^4.71 + t^4.715/g1 + t^4.719/g1^8 + (2*t^5.145)/g1^3 + (2*t^5.149)/g1^10 + 2*g1^2*t^5.57 + t^5.575/g1^5 + g1^7*t^5.996 - t^6. + (2*t^6.004)/g1^7 + (2*t^6.009)/g1^14 + g1^12*t^6.421 + t^6.43/g1^2 + (2*t^6.434)/g1^9 + g1^3*t^6.855 + (3*t^6.86)/g1^4 + t^6.864/g1^11 + (3*t^6.869)/g1^18 + 2*g1*t^7.285 + t^7.29/g1^6 + (3*t^7.294)/g1^13 + 2*g1^6*t^7.71 + (5*t^7.719)/g1^8 + (2*t^7.724)/g1^15 + t^7.728/g1^22 + g1^11*t^8.136 - 3*g1^4*t^8.14 + (4*t^8.145)/g1^3 + (2*t^8.154)/g1^17 + g1^16*t^8.561 - g1^9*t^8.566 + 4*g1^2*t^8.57 - (5*t^8.575)/g1^5 + (5*t^8.579)/g1^12 + (2*t^8.583)/g1^19 + t^8.588/g1^26 + 2*g1^7*t^8.996 - (g1*t^4.285)/y - (g1^5*t^6.425)/y - t^6.86/(g1^4*y) + (g1^6*t^7.71)/y + (2*t^7.715)/(g1*y) + (g1^4*t^8.14)/y + t^8.145/(g1^3*y) + t^8.149/(g1^10*y) + (g1^2*t^8.57)/y + (3*t^8.575)/(g1^5*y) - g1*t^4.285*y - g1^5*t^6.425*y - (t^6.86*y)/g1^4 + g1^6*t^7.71*y + (2*t^7.715*y)/g1 + g1^4*t^8.14*y + (t^8.145*y)/g1^3 + (t^8.149*y)/g1^10 + g1^2*t^8.57*y + (3*t^8.575*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
58935 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6768 | 0.8462 | 0.7998 | [X:[1.4276], M:[0.8621, 1.0, 1.1379, 0.7103, 0.5724, 0.8621, 1.1448, 0.7103], q:[0.3552, 0.7827], qb:[0.6448, 0.5069], phi:[0.4276]] | 2*t^2.131 + 2*t^2.586 + t^3. + t^3.414 + t^3.435 + t^3.455 + 3*t^4.262 + 2*t^4.283 + t^4.324 + t^4.696 + 3*t^4.717 + t^4.738 + t^5.131 + 2*t^5.152 + 2*t^5.173 + t^5.545 + 3*t^5.565 + 2*t^5.586 + t^5.979 - 2*t^6. - t^4.283/y - t^4.283*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 |
---|---|---|---|---|---|---|---|---|---|
54581 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6692 | 0.8294 | 0.8069 | [X:[1.4271], M:[0.8647, 1.0, 1.1353, 0.7083, 0.5729, 0.8647], q:[0.3541, 0.7812], qb:[0.6459, 0.5105], phi:[0.4271]] | t^2.125 + t^2.562 + 2*t^2.594 + t^3. + t^3.406 + t^3.469 + t^3.875 + t^4.25 + 2*t^4.281 + t^4.344 + 2*t^4.687 + t^4.719 + t^4.75 + t^5.125 + 4*t^5.156 + 2*t^5.188 + 2*t^5.562 + t^5.594 + 2*t^5.968 - t^6. - t^4.281/y - t^4.281*y | detail |