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 |
---|---|---|---|---|---|---|---|---|---|
2776 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0, 1.0213, 0.9574, 1.0213, 0.734], q:[0.7553, 0.2447], qb:[0.5106, 0.5319], phi:[0.4894]] | [M:[[0], [4], [-8], [4], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.404 + t^4.468 + 3*t^4.532 + 2*t^4.596 + 2*t^4.66 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - t^6. + 3*t^6.064 + 4*t^6.128 + t^6.192 + t^6.606 + 2*t^6.734 + 3*t^6.798 + 5*t^6.862 + 4*t^6.926 + 2*t^6.99 + t^7.276 + t^7.404 + t^7.468 + 2*t^7.532 + 6*t^7.596 + 5*t^7.66 + 4*t^7.724 + t^7.947 + t^8.074 + t^8.138 - 3*t^8.202 - t^8.266 + 2*t^8.33 + 6*t^8.394 + 5*t^8.458 + 2*t^8.522 + t^8.617 + t^8.744 + 2*t^8.808 - 2*t^8.872 + t^8.936 - t^4.468/y - t^6.67/y - t^7.34/y + t^7.404/y + t^7.468/y + (2*t^7.596)/y + t^8.074/y + t^8.138/y + (2*t^8.202)/y + (4*t^8.266)/y + (3*t^8.33)/y + (2*t^8.394)/y + (3*t^8.936)/y - t^4.468*y - t^6.67*y - t^7.34*y + t^7.404*y + t^7.468*y + 2*t^7.596*y + t^8.074*y + t^8.138*y + 2*t^8.202*y + 4*t^8.266*y + 3*t^8.33*y + 2*t^8.394*y + 3*t^8.936*y | t^2.202/g1^3 + g1*t^2.266 + g1^5*t^2.33 + t^2.872/g1^8 + t^3. + 2*g1^4*t^3.064 + t^3.734/g1 + g1^3*t^3.798 + g1^7*t^3.862 + t^4.404/g1^6 + t^4.468/g1^2 + 3*g1^2*t^4.532 + 2*g1^6*t^4.596 + 2*g1^10*t^4.66 + t^5.074/g1^11 + t^5.202/g1^3 + 3*g1*t^5.266 + 3*g1^5*t^5.33 + 2*g1^9*t^5.394 + t^5.744/g1^16 + t^5.872/g1^8 + t^5.936/g1^4 - t^6. + 3*g1^4*t^6.064 + 4*g1^8*t^6.128 + g1^12*t^6.192 + t^6.606/g1^9 + (2*t^6.734)/g1 + 3*g1^3*t^6.798 + 5*g1^7*t^6.862 + 4*g1^11*t^6.926 + 2*g1^15*t^6.99 + t^7.276/g1^14 + t^7.404/g1^6 + t^7.468/g1^2 + 2*g1^2*t^7.532 + 6*g1^6*t^7.596 + 5*g1^10*t^7.66 + 4*g1^14*t^7.724 + t^7.947/g1^19 + t^8.074/g1^11 + t^8.138/g1^7 - (3*t^8.202)/g1^3 - g1*t^8.266 + 2*g1^5*t^8.33 + 6*g1^9*t^8.394 + 5*g1^13*t^8.458 + 2*g1^17*t^8.522 + t^8.617/g1^24 + t^8.744/g1^16 + (2*t^8.808)/g1^12 - (2*t^8.872)/g1^8 + t^8.936/g1^4 - t^4.468/(g1^2*y) - t^6.67/(g1^5*y) - t^7.34/(g1^10*y) + t^7.404/(g1^6*y) + t^7.468/(g1^2*y) + (2*g1^6*t^7.596)/y + t^8.074/(g1^11*y) + t^8.138/(g1^7*y) + (2*t^8.202)/(g1^3*y) + (4*g1*t^8.266)/y + (3*g1^5*t^8.33)/y + (2*g1^9*t^8.394)/y + (3*t^8.936)/(g1^4*y) - (t^4.468*y)/g1^2 - (t^6.67*y)/g1^5 - (t^7.34*y)/g1^10 + (t^7.404*y)/g1^6 + (t^7.468*y)/g1^2 + 2*g1^6*t^7.596*y + (t^8.074*y)/g1^11 + (t^8.138*y)/g1^7 + (2*t^8.202*y)/g1^3 + 4*g1*t^8.266*y + 3*g1^5*t^8.33*y + 2*g1^9*t^8.394*y + (3*t^8.936*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 |
---|---|---|---|---|---|---|---|---|
3289 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.5866 | 0.7403 | 0.7924 | [M:[1.0, 1.0162, 0.9675, 1.0162, 0.7378, 1.2622], q:[0.7541, 0.2459], qb:[0.5081, 0.5243], phi:[0.4919]] | t^2.262 + t^2.311 + t^2.903 + t^3. + 2*t^3.049 + t^3.738 + 2*t^3.787 + t^3.835 + 2*t^4.524 + 2*t^4.573 + 2*t^4.622 + t^5.262 + 3*t^5.311 + 2*t^5.36 + t^5.805 + t^5.903 - 2*t^6. - t^4.476/y - t^4.476*y | detail | |
3290 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6259 | 0.8118 | 0.771 | [M:[1.0, 1.0259, 0.9482, 1.0259, 0.7306, 0.7306], q:[0.7565, 0.2435], qb:[0.513, 0.5389], phi:[0.487]] | 2*t^2.192 + t^2.269 + t^2.347 + t^2.845 + t^3. + 2*t^3.078 + t^3.731 + t^3.886 + 3*t^4.383 + 2*t^4.461 + 4*t^4.539 + 2*t^4.617 + 2*t^4.694 + 2*t^5.036 + 2*t^5.192 + 5*t^5.269 + 3*t^5.347 + 2*t^5.425 + t^5.689 + t^5.845 + 2*t^5.922 - 2*t^6. - t^4.461/y - t^4.461*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 |
---|---|---|---|---|---|---|---|---|---|
1775 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6069 | 0.7772 | 0.7809 | [M:[1.0, 1.026, 0.9481, 1.026, 0.7104], q:[0.7565, 0.2435], qb:[0.5331, 0.5188], phi:[0.487]] | t^2.131 + t^2.287 + t^2.33 + t^2.844 + t^3. + 2*t^3.078 + t^3.748 + t^3.791 + t^3.826 + t^4.262 + t^4.418 + t^4.461 + 2*t^4.574 + 2*t^4.617 + 2*t^4.66 + t^4.975 + t^5.131 + 2*t^5.209 + t^5.287 + t^5.33 + 2*t^5.365 + 2*t^5.408 + t^5.688 + t^5.844 + t^5.879 + 2*t^5.922 - 3*t^6. - t^4.461/y - t^4.461*y | detail |