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 |
---|---|---|---|---|---|---|---|---|---|
1084 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.507 | 0.6225 | 0.8145 | [X:[1.4241], M:[0.8797, 1.2321, 0.5759, 0.8481, 1.1519, 0.9599], q:[0.808, 0.2321], qb:[0.8882, 0.5359], phi:[0.384]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-6], [-5]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.304 + t^2.544 + t^2.639 + t^2.88 + t^3.456 + t^3.696 + t^4.272 + t^4.367 + t^4.513 + t^4.608 + t^4.848 + t^5.089 + t^5.184 + t^5.278 + t^5.424 + t^5.519 + t^5.759 - t^6. - t^6.241 + t^6.335 + t^6.481 + t^6.576 + 2*t^6.671 + 2*t^6.911 + t^7.006 + t^7.152 + t^7.247 + t^7.392 + t^7.728 + t^7.823 + t^7.918 + 2*t^8.063 + t^8.158 - t^8.209 - 2*t^8.544 - t^8.639 + t^8.734 + t^8.785 - 2*t^8.88 + t^8.975 - t^4.152/y - t^6.791/y - t^7.032/y + t^7.272/y + t^7.513/y + t^7.848/y + t^7.943/y + (2*t^8.184)/y + t^8.424/y + t^8.519/y + t^8.759/y - t^4.152*y - t^6.791*y - t^7.032*y + t^7.272*y + t^7.513*y + t^7.848*y + t^7.943*y + 2*t^8.184*y + t^8.424*y + t^8.519*y + t^8.759*y | t^2.304/g1^4 + g1^6*t^2.544 + t^2.639/g1^15 + t^2.88/g1^5 + t^3.456/g1^6 + g1^4*t^3.696 + g1^3*t^4.272 + t^4.367/g1^18 + g1^13*t^4.513 + t^4.608/g1^8 + g1^2*t^4.848 + g1^12*t^5.089 + t^5.184/g1^9 + t^5.278/g1^30 + g1*t^5.424 + t^5.519/g1^20 + t^5.759/g1^10 - t^6. - g1^10*t^6.241 + t^6.335/g1^11 + g1^20*t^6.481 + t^6.576/g1 + (2*t^6.671)/g1^22 + (2*t^6.911)/g1^12 + t^7.006/g1^33 + t^7.152/g1^2 + t^7.247/g1^23 + g1^8*t^7.392 + t^7.728/g1^3 + t^7.823/g1^24 + t^7.918/g1^45 + (2*t^8.063)/g1^14 + t^8.158/g1^35 - g1^17*t^8.209 - 2*g1^6*t^8.544 - t^8.639/g1^15 + t^8.734/g1^36 + g1^16*t^8.785 - (2*t^8.88)/g1^5 + t^8.975/g1^26 - t^4.152/(g1^2*y) - t^6.791/(g1^17*y) - t^7.032/(g1^7*y) + (g1^3*t^7.272)/y + (g1^13*t^7.513)/y + (g1^2*t^7.848)/y + t^7.943/(g1^19*y) + (2*t^8.184)/(g1^9*y) + (g1*t^8.424)/y + t^8.519/(g1^20*y) + t^8.759/(g1^10*y) - (t^4.152*y)/g1^2 - (t^6.791*y)/g1^17 - (t^7.032*y)/g1^7 + g1^3*t^7.272*y + g1^13*t^7.513*y + g1^2*t^7.848*y + (t^7.943*y)/g1^19 + (2*t^8.184*y)/g1^9 + g1*t^8.424*y + (t^8.519*y)/g1^20 + (t^8.759*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 |
---|---|---|---|---|---|---|---|---|
1685 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ | 0.5207 | 0.6457 | 0.8064 | [X:[1.4187], M:[0.9066, 1.2249, 0.5813, 0.8373, 1.1627, 0.9689, 0.8373], q:[0.8062, 0.2249], qb:[0.8685, 0.5502], phi:[0.3876]] | t^2.325 + 2*t^2.512 + t^2.72 + t^2.907 + t^3.675 + t^4.256 + t^4.443 + t^4.464 + t^4.651 + 2*t^4.837 + 3*t^5.024 + 2*t^5.232 + 2*t^5.419 + t^5.44 + t^5.627 - 2*t^6. - t^4.163/y - t^4.163*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 |
---|---|---|---|---|---|---|---|---|---|
675 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ | 0.5037 | 0.6166 | 0.8169 | [X:[1.4182], M:[0.9089, 1.2243, 0.5818, 0.8364, 1.1636], q:[0.8061, 0.2243], qb:[0.8668, 0.5514], phi:[0.3879]] | t^2.327 + t^2.509 + t^2.727 + t^3.091 + t^3.491 + t^3.673 + t^4.255 + t^4.437 + t^4.472 + t^4.654 + t^4.836 + t^5.019 + t^5.418 + t^5.454 + t^5.6 + t^5.818 - t^6. - t^4.164/y - t^4.164*y | detail |