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 |
---|---|---|---|---|---|---|---|---|---|
2117 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6198 | 0.7634 | 0.8119 | [M:[1.1756, 1.2162, 0.7432, 0.8244, 0.8244, 1.1756, 0.7026], q:[0.8041, 0.4528], qb:[0.3716, 0.8041], phi:[0.3919]] | [M:[[-6], [4], [-14], [6], [6], [-6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.108 + t^2.23 + t^2.473 + t^3.405 + 2*t^3.527 + 2*t^3.649 + t^3.77 + t^4.216 + t^4.337 + t^4.459 + t^4.581 + t^4.703 + t^4.824 + t^4.946 + t^5.513 + 3*t^5.635 + 3*t^5.756 + 2*t^5.878 + t^6.323 + t^6.445 + t^6.567 + 2*t^6.689 + 2*t^6.81 + 3*t^6.932 + 4*t^7.054 + 2*t^7.176 + t^7.297 + t^7.621 + 3*t^7.743 + 4*t^7.864 + 3*t^7.986 + t^8.108 - t^8.23 + t^8.431 - t^8.473 + t^8.553 - t^8.595 + t^8.675 - t^8.717 + 2*t^8.796 + 3*t^8.918 - t^4.176/y - t^6.283/y - t^6.405/y + t^7.337/y + t^7.581/y + t^7.703/y + t^7.946/y + t^8.068/y - t^8.391/y + (2*t^8.635)/y + (4*t^8.756)/y + (4*t^8.878)/y - t^4.176*y - t^6.283*y - t^6.405*y + t^7.337*y + t^7.581*y + t^7.703*y + t^7.946*y + t^8.068*y - t^8.391*y + 2*t^8.635*y + 4*t^8.756*y + 4*t^8.878*y | t^2.108/g1^24 + t^2.23/g1^14 + g1^6*t^2.473 + t^3.405/g1^16 + (2*t^3.527)/g1^6 + 2*g1^4*t^3.649 + g1^14*t^3.77 + t^4.216/g1^48 + t^4.337/g1^38 + t^4.459/g1^28 + t^4.581/g1^18 + t^4.703/g1^8 + g1^2*t^4.824 + g1^12*t^4.946 + t^5.513/g1^40 + (3*t^5.635)/g1^30 + (3*t^5.756)/g1^20 + (2*t^5.878)/g1^10 + t^6.323/g1^72 + t^6.445/g1^62 + t^6.567/g1^52 + (2*t^6.689)/g1^42 + (2*t^6.81)/g1^32 + (3*t^6.932)/g1^22 + (4*t^7.054)/g1^12 + (2*t^7.176)/g1^2 + g1^8*t^7.297 + t^7.621/g1^64 + (3*t^7.743)/g1^54 + (4*t^7.864)/g1^44 + (3*t^7.986)/g1^34 + t^8.108/g1^24 - t^8.23/g1^14 + t^8.431/g1^96 - g1^6*t^8.473 + t^8.553/g1^86 - g1^16*t^8.595 + t^8.675/g1^76 - g1^26*t^8.717 + (2*t^8.796)/g1^66 + (3*t^8.918)/g1^56 - t^4.176/(g1^2*y) - t^6.283/(g1^26*y) - t^6.405/(g1^16*y) + t^7.337/(g1^38*y) + t^7.581/(g1^18*y) + t^7.703/(g1^8*y) + (g1^12*t^7.946)/y + (g1^22*t^8.068)/y - t^8.391/(g1^50*y) + (2*t^8.635)/(g1^30*y) + (4*t^8.756)/(g1^20*y) + (4*t^8.878)/(g1^10*y) - (t^4.176*y)/g1^2 - (t^6.283*y)/g1^26 - (t^6.405*y)/g1^16 + (t^7.337*y)/g1^38 + (t^7.581*y)/g1^18 + (t^7.703*y)/g1^8 + g1^12*t^7.946*y + g1^22*t^8.068*y - (t^8.391*y)/g1^50 + (2*t^8.635*y)/g1^30 + (4*t^8.756*y)/g1^20 + (4*t^8.878*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 |
---|---|---|---|---|---|---|---|---|
4099 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6007 | 0.7278 | 0.8254 | [M:[1.1802, 1.2132, 0.7538, 0.8198, 0.8198, 1.1802, 0.7207, 1.2462], q:[0.8033, 0.4429], qb:[0.3769, 0.8033], phi:[0.3934]] | t^2.162 + t^2.459 + t^3.441 + 2*t^3.541 + 2*t^3.64 + 2*t^3.739 + t^4.324 + t^4.622 + t^4.82 + t^4.919 + t^5.604 + 2*t^5.703 + t^5.802 + t^5.901 - t^6. - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
1030 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5996 | 0.7246 | 0.8275 | [M:[1.1811, 1.2126, 0.7558, 0.8189, 0.8189, 1.1811], q:[0.8032, 0.4411], qb:[0.3779, 0.8032], phi:[0.3937]] | t^2.267 + t^2.457 + t^3.448 + 2*t^3.543 + 2*t^3.638 + t^3.733 + t^3.827 + t^4.535 + t^4.724 + t^4.819 + t^4.914 + t^5.716 + t^5.811 + t^5.905 - t^4.181/y - t^4.181*y | detail |