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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | 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^6.364 + t^6.582 + t^6.764 + 2*t^6.799 + 2*t^6.981 + t^7.199 + t^7.346 + t^7.528 + t^7.745 + t^7.963 + t^8.145 + t^8.181 - t^8.327 - t^8.509 + 2*t^8.691 - 2*t^8.727 + t^8.873 + t^8.944 - t^4.164/y - t^6.89/y + t^7.437/y + t^7.836/y + t^8.054/y + t^8.236/y + t^8.418/y + t^8.6/y + (2*t^8.818)/y - t^4.164*y - t^6.89*y + t^7.437*y + t^7.836*y + t^8.054*y + t^8.236*y + t^8.418*y + t^8.6*y + 2*t^8.818*y | t^2.327/g1^4 + g1^6*t^2.509 + t^2.727/g1^15 + g1^5*t^3.091 + t^3.491/g1^6 + g1^4*t^3.673 + g1^3*t^4.255 + g1^13*t^4.437 + t^4.472/g1^18 + t^4.654/g1^8 + g1^2*t^4.836 + g1^12*t^5.019 + g1*t^5.418 + t^5.454/g1^30 + g1^11*t^5.6 + t^5.818/g1^10 - t^6. + g1^20*t^6.364 + t^6.582/g1 + g1^9*t^6.764 + (2*t^6.799)/g1^22 + (2*t^6.981)/g1^12 + t^7.199/g1^33 + g1^8*t^7.346 + g1^18*t^7.528 + t^7.745/g1^3 + t^7.963/g1^24 + t^8.145/g1^14 + t^8.181/g1^45 - t^8.327/g1^4 - g1^6*t^8.509 + 2*g1^16*t^8.691 - (2*t^8.727)/g1^15 + g1^26*t^8.873 + t^8.944/g1^36 - t^4.164/(g1^2*y) - t^6.89/(g1^17*y) + (g1^13*t^7.437)/y + (g1^2*t^7.836)/y + t^8.054/(g1^19*y) + t^8.236/(g1^9*y) + (g1*t^8.418)/y + (g1^11*t^8.6)/y + (2*t^8.818)/(g1^10*y) - (t^4.164*y)/g1^2 - (t^6.89*y)/g1^17 + g1^13*t^7.437*y + g1^2*t^7.836*y + (t^8.054*y)/g1^19 + (t^8.236*y)/g1^9 + g1*t^8.418*y + g1^11*t^8.6*y + (2*t^8.818*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 |
---|---|---|---|---|---|---|---|---|
1082 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.4857 | 0.5994 | 0.8104 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 2*t^2.182 + t^2.727 + 2*t^3.273 + 2*t^3.818 + 3*t^4.364 + 2*t^4.909 + 3*t^5.455 + 3*t^6. - t^4.091/y - t^4.091*y | detail | {a: 1293/2662, c: 3191/5324, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
1085 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{6}$ | 0.5182 | 0.6419 | 0.8074 | [X:[1.4129], M:[0.9353, 1.2172, 0.5871, 0.8259, 1.1741, 0.8259], q:[0.8043, 0.2172], qb:[0.8474, 0.5655], phi:[0.3914]] | t^2.348 + 2*t^2.478 + t^2.806 + t^3.065 + t^3.652 + t^4.239 + t^4.368 + t^4.567 + t^4.697 + 2*t^4.826 + 3*t^4.955 + t^5.284 + t^5.413 + 2*t^5.542 + t^5.612 - 2*t^6. - t^4.174/y - t^4.174*y | detail | |
1084 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 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]] | 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^4.152/y - t^4.152*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 |
---|---|---|---|---|---|---|---|---|---|
415 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail |