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 |
---|---|---|---|---|---|---|---|---|---|
47066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6598 | 0.8251 | 0.7997 | [M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | [M:[[1], [-2], [-1], [2], [1]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.132 + t^2.266 + t^2.4 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 3*t^4.532 + 3*t^4.666 + 2*t^4.8 + 3*t^4.934 + 2*t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. + t^6.134 + t^6.268 + t^6.395 + t^6.529 + t^6.536 + 4*t^6.664 + t^6.671 + 4*t^6.798 + t^6.805 + 4*t^6.932 + 5*t^7.066 + 3*t^7.2 + 2*t^7.334 + 4*t^7.468 + t^7.595 + 2*t^7.602 + t^7.729 + 4*t^7.864 + t^7.871 + 4*t^7.998 + t^8.005 + t^8.273 + t^8.527 - 3*t^8.534 + t^8.661 - t^8.668 + 4*t^8.795 + t^8.802 + 4*t^8.929 - t^4.2/y - t^6.332/y - t^6.466/y - t^6.6/y - t^6.868/y + t^7.398/y + (2*t^7.532)/y + (2*t^7.666)/y + (3*t^7.8)/y + (3*t^7.934)/y + (2*t^8.068)/y + t^8.202/y + t^8.598/y + (2*t^8.866)/y - t^4.2*y - t^6.332*y - t^6.466*y - t^6.6*y - t^6.868*y + t^7.398*y + 2*t^7.532*y + 2*t^7.666*y + 3*t^7.8*y + 3*t^7.934*y + 2*t^8.068*y + t^8.202*y + t^8.598*y + 2*t^8.866*y | g1^2*t^2.132 + g1*t^2.266 + t^2.4 + t^2.534/g1 + t^2.668/g1^2 + g1^2*t^3.332 + g1*t^3.466 + t^3.734/g1 + t^4.136/g1^4 + g1^4*t^4.264 + g1^3*t^4.398 + 3*g1^2*t^4.532 + 3*g1*t^4.666 + 2*t^4.8 + (3*t^4.934)/g1 + (2*t^5.068)/g1^2 + t^5.336/g1^4 + g1^4*t^5.464 + g1^3*t^5.598 + 3*g1^2*t^5.732 + 2*g1*t^5.866 - t^6. + t^6.134/g1 + t^6.268/g1^2 + g1^6*t^6.395 + g1^5*t^6.529 + t^6.536/g1^4 + 4*g1^4*t^6.664 + t^6.671/g1^5 + 4*g1^3*t^6.798 + t^6.805/g1^6 + 4*g1^2*t^6.932 + 5*g1*t^7.066 + 3*t^7.2 + (2*t^7.334)/g1 + (4*t^7.468)/g1^2 + g1^6*t^7.595 + (2*t^7.602)/g1^3 + g1^5*t^7.729 + 4*g1^4*t^7.864 + t^7.871/g1^5 + 4*g1^3*t^7.998 + t^8.005/g1^6 + t^8.273/g1^8 + g1^8*t^8.527 - (3*t^8.534)/g1 + g1^7*t^8.661 - t^8.668/g1^2 + 4*g1^6*t^8.795 + t^8.802/g1^3 + 4*g1^5*t^8.929 - t^4.2/y - (g1^2*t^6.332)/y - (g1*t^6.466)/y - t^6.6/y - t^6.868/(g1^2*y) + (g1^3*t^7.398)/y + (2*g1^2*t^7.532)/y + (2*g1*t^7.666)/y + (3*t^7.8)/y + (3*t^7.934)/(g1*y) + (2*t^8.068)/(g1^2*y) + t^8.202/(g1^3*y) + (g1^3*t^8.598)/y + (2*g1*t^8.866)/y - t^4.2*y - g1^2*t^6.332*y - g1*t^6.466*y - t^6.6*y - (t^6.868*y)/g1^2 + g1^3*t^7.398*y + 2*g1^2*t^7.532*y + 2*g1*t^7.666*y + 3*t^7.8*y + (3*t^7.934*y)/g1 + (2*t^8.068*y)/g1^2 + (t^8.202*y)/g1^3 + g1^3*t^8.598*y + 2*g1*t^8.866*y |
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 |
---|---|---|---|---|---|---|---|---|
55347 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6735 | 0.8485 | 0.7937 | [M:[1.1608, 0.8784, 0.8392, 0.7216, 0.7608, 0.8392], q:[0.3608, 0.4784], qb:[0.7608, 0.8], phi:[0.4]] | t^2.165 + t^2.282 + t^2.4 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 3*t^4.565 + 4*t^4.682 + 3*t^4.8 + 4*t^4.918 + 4*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 2*t^5.882 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
55228 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6209 | 0.7647 | 0.812 | [X:[1.4], M:[1.1, 1.0, 0.9, 0.6, 0.7], q:[0.3, 0.6], qb:[0.7, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.1 + 5*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19869/32000, c: 24469/32000, X1: 7/5, M1: 11/10, M2: 1, M3: 9/10, M4: 3/5, M5: 7/10, q1: 3/10, q2: 3/5, qb1: 7/10, qb2: 4/5, phi1: 2/5} |
55241 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6396 | 0.787 | 0.8126 | [M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | t^2.278 + t^2.4 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + 2*t^4.678 + t^4.8 + 3*t^4.922 + 2*t^5.043 + t^5.287 + 3*t^5.757 + t^5.878 - t^6. - t^4.2/y - t^4.2*y | detail | |
55154 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{2}X_{1}$ | 0.4947 | 0.626 | 0.7903 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 3*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15831/32000, c: 20031/32000, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, phi1: 2/5} |
55045 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ | 0.641 | 0.791 | 0.8104 | [M:[1.1587, 0.8826, 0.8413, 0.7174, 0.7587, 1.2413], q:[0.3587, 0.4826], qb:[0.7587, 0.8], phi:[0.4]] | t^2.152 + t^2.4 + t^2.524 + t^2.648 + t^3.352 + t^3.476 + 2*t^3.724 + t^4.095 + t^4.305 + 2*t^4.552 + 2*t^4.676 + t^4.8 + 2*t^4.924 + 2*t^5.048 + t^5.295 + t^5.505 + 2*t^5.752 + 3*t^5.876 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
55421 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6433 | 0.7961 | 0.8081 | [M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553, 1.2], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.132 + t^2.266 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.6 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 2*t^4.532 + 2*t^4.666 + t^4.8 + 2*t^4.934 + t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*y | detail | |
55324 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6787 | 0.8597 | 0.7895 | [M:[1.1521, 0.8959, 0.8479, 0.7041, 0.7521, 0.7521], q:[0.3521, 0.4959], qb:[0.7521, 0.8], phi:[0.4]] | t^2.112 + 2*t^2.256 + t^2.4 + t^2.544 + t^2.688 + t^3.312 + t^3.456 + t^4.175 + t^4.225 + 2*t^4.369 + 5*t^4.512 + 4*t^4.656 + 3*t^4.8 + 4*t^4.944 + 2*t^5.088 + t^5.375 + t^5.425 + 2*t^5.569 + 4*t^5.712 + t^5.856 - 2*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |