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 |
---|---|---|---|---|---|---|---|---|---|
1433 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.73 | 0.9083 | 0.8037 | [M:[1.0785, 0.7646, 0.933, 0.9101, 1.0, 0.9215, 0.8431], q:[0.4943, 0.4272], qb:[0.5728, 0.6626], phi:[0.4608]] | [M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-2, -2], [-4, -4]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.294 + t^2.529 + t^2.73 + 2*t^2.765 + t^2.799 + t^3. + t^3.946 + t^4.147 + t^4.348 + t^4.382 + t^4.583 + t^4.588 + t^4.652 + t^4.819 + t^4.823 + t^4.853 + t^5.024 + 3*t^5.058 + t^5.088 + t^5.093 + t^5.26 + 2*t^5.294 + t^5.328 + t^5.358 + t^5.461 + t^5.495 + 5*t^5.529 + t^5.563 + t^5.598 + t^5.765 - 3*t^6. - t^6.201 - t^6.235 + t^6.24 - t^6.27 - t^6.437 + t^6.441 - t^6.471 + t^6.475 - t^6.505 + t^6.642 + 2*t^6.676 - t^6.706 + 2*t^6.71 + t^6.745 + 2*t^6.877 + t^6.881 + 3*t^6.912 + 2*t^6.946 + t^7.078 + 4*t^7.113 + t^7.117 + 3*t^7.147 + t^7.314 + t^7.318 + 3*t^7.348 + 3*t^7.352 + t^7.382 + t^7.386 + t^7.417 + t^7.451 + t^7.549 + t^7.553 + t^7.583 + 3*t^7.588 + t^7.618 + t^7.622 + t^7.652 + t^7.755 + 2*t^7.789 + 6*t^7.823 + 2*t^7.857 + 2*t^7.892 + t^7.99 + t^8.024 - 2*t^8.054 + 4*t^8.058 - t^8.088 + t^8.093 + t^8.123 + t^8.127 + t^8.157 + t^8.191 + t^8.225 + 2*t^8.26 - t^8.29 + 3*t^8.294 - t^8.324 + 3*t^8.328 + t^8.362 + t^8.397 - t^8.495 - 2*t^8.529 + t^8.533 - t^8.559 - 2*t^8.563 - t^8.594 + t^8.598 + t^8.696 - 4*t^8.73 + t^8.735 - 7*t^8.765 + t^8.769 - 4*t^8.799 + t^8.936 - 3*t^8.966 + 2*t^8.97 - t^4.382/y - t^6.676/y - t^6.912/y - t^7.113/y - t^7.147/y - t^7.181/y + t^7.583/y + t^7.618/y + t^7.652/y + t^7.823/y + t^7.853/y + t^8.024/y + (2*t^8.058)/y + t^8.088/y + t^8.093/y + t^8.26/y + (3*t^8.294)/y + t^8.328/y + (2*t^8.495)/y + (3*t^8.529)/y + (2*t^8.563)/y + t^8.73/y + (2*t^8.765)/y + t^8.799/y - t^8.97/y - t^4.382*y - t^6.676*y - t^6.912*y - t^7.113*y - t^7.147*y - t^7.181*y + t^7.583*y + t^7.618*y + t^7.652*y + t^7.823*y + t^7.853*y + t^8.024*y + 2*t^8.058*y + t^8.088*y + t^8.093*y + t^8.26*y + 3*t^8.294*y + t^8.328*y + 2*t^8.495*y + 3*t^8.529*y + 2*t^8.563*y + t^8.73*y + 2*t^8.765*y + t^8.799*y - t^8.97*y | t^2.294/(g1^6*g2^6) + t^2.529/(g1^4*g2^4) + (g1^6*t^2.73)/g2^6 + (2*t^2.765)/(g1^2*g2^2) + (g2^2*t^2.799)/g1^10 + t^3. + t^3.946/(g1^13*g2) + t^4.147/(g1^3*g2^3) + (g1^7*t^4.348)/g2^5 + t^4.382/(g1*g2) + (g1^9*t^4.583)/g2^3 + t^4.588/(g1^12*g2^12) + (g2^5*t^4.652)/g1^7 + (g1^11*t^4.819)/g2 + t^4.823/(g1^10*g2^10) + g1^3*g2^3*t^4.853 + t^5.024/g2^12 + (3*t^5.058)/(g1^8*g2^8) + g1^5*g2^5*t^5.088 + t^5.093/(g1^16*g2^4) + (g1^2*t^5.26)/g2^10 + (2*t^5.294)/(g1^6*g2^6) + t^5.328/(g1^14*g2^2) + (g2^11*t^5.358)/g1 + (g1^12*t^5.461)/g2^12 + (g1^4*t^5.495)/g2^8 + (5*t^5.529)/(g1^4*g2^4) + t^5.563/g1^12 + (g2^4*t^5.598)/g1^20 + t^5.765/(g1^2*g2^2) - 3*t^6. - (g1^10*t^6.201)/g2^2 - g1^2*g2^2*t^6.235 + t^6.24/(g1^19*g2^7) - (g2^6*t^6.27)/g1^6 - g1^12*t^6.437 + t^6.441/(g1^9*g2^9) - g1^4*g2^4*t^6.471 + t^6.475/(g1^17*g2^5) - (g2^8*t^6.505)/g1^4 + (g1*t^6.642)/g2^11 + (2*t^6.676)/(g1^7*g2^7) - g1^6*g2^6*t^6.706 + (2*t^6.71)/(g1^15*g2^3) + (g2*t^6.745)/g1^23 + (2*g1^3*t^6.877)/g2^9 + t^6.881/(g1^18*g2^18) + (3*t^6.912)/(g1^5*g2^5) + (2*t^6.946)/(g1^13*g2) + (g1^13*t^7.078)/g2^11 + (4*g1^5*t^7.113)/g2^7 + t^7.117/(g1^16*g2^16) + (3*t^7.147)/(g1^3*g2^3) + (g1^15*t^7.314)/g2^9 + t^7.318/(g1^6*g2^18) + (3*g1^7*t^7.348)/g2^5 + (3*t^7.352)/(g1^14*g2^14) + t^7.382/(g1*g2) + t^7.386/(g1^22*g2^10) + (g2^3*t^7.417)/g1^9 + (g2^7*t^7.451)/g1^17 + (g1^17*t^7.549)/g2^7 + t^7.553/(g1^4*g2^16) + (g1^9*t^7.583)/g2^3 + (3*t^7.588)/(g1^12*g2^12) + g1*g2*t^7.618 + t^7.622/(g1^20*g2^8) + (g2^5*t^7.652)/g1^7 + (g1^6*t^7.755)/g2^18 + (2*t^7.789)/(g1^2*g2^14) + (6*t^7.823)/(g1^10*g2^10) + (2*t^7.857)/(g1^18*g2^6) + (2*t^7.892)/(g1^26*g2^2) + (g1^8*t^7.99)/g2^16 + t^8.024/g2^12 - 2*g1^13*g2*t^8.054 + (4*t^8.058)/(g1^8*g2^8) - g1^5*g2^5*t^8.088 + t^8.093/(g1^16*g2^4) + (g2^9*t^8.123)/g1^3 + t^8.127/g1^24 + (g2^13*t^8.157)/g1^11 + (g1^18*t^8.191)/g2^18 + (g1^10*t^8.225)/g2^14 + (2*g1^2*t^8.26)/g2^10 - g1^15*g2^3*t^8.29 + (3*t^8.294)/(g1^6*g2^6) - g1^7*g2^7*t^8.324 + (3*t^8.328)/(g1^14*g2^2) + (g2^2*t^8.362)/g1^22 + (g2^6*t^8.397)/g1^30 - (g1^4*t^8.495)/g2^8 - (2*t^8.529)/(g1^4*g2^4) + t^8.533/(g1^25*g2^13) - g1^9*g2^9*t^8.559 - (2*t^8.563)/g1^12 - g1*g2^13*t^8.594 + (g2^4*t^8.598)/g1^20 + (g1^14*t^8.696)/g2^10 - (4*g1^6*t^8.73)/g2^6 + t^8.735/(g1^15*g2^15) - (7*t^8.765)/(g1^2*g2^2) + t^8.769/(g1^23*g2^11) - (4*g2^2*t^8.799)/g1^10 + t^8.936/(g1^5*g2^17) - (3*g1^8*t^8.966)/g2^4 + (2*t^8.97)/(g1^13*g2^13) - t^4.382/(g1*g2*y) - t^6.676/(g1^7*g2^7*y) - t^6.912/(g1^5*g2^5*y) - (g1^5*t^7.113)/(g2^7*y) - t^7.147/(g1^3*g2^3*y) - (g2*t^7.181)/(g1^11*y) + (g1^9*t^7.583)/(g2^3*y) + (g1*g2*t^7.618)/y + (g2^5*t^7.652)/(g1^7*y) + t^7.823/(g1^10*g2^10*y) + (g1^3*g2^3*t^7.853)/y + t^8.024/(g2^12*y) + (2*t^8.058)/(g1^8*g2^8*y) + (g1^5*g2^5*t^8.088)/y + t^8.093/(g1^16*g2^4*y) + (g1^2*t^8.26)/(g2^10*y) + (3*t^8.294)/(g1^6*g2^6*y) + t^8.328/(g1^14*g2^2*y) + (2*g1^4*t^8.495)/(g2^8*y) + (3*t^8.529)/(g1^4*g2^4*y) + (2*t^8.563)/(g1^12*y) + (g1^6*t^8.73)/(g2^6*y) + (2*t^8.765)/(g1^2*g2^2*y) + (g2^2*t^8.799)/(g1^10*y) - t^8.97/(g1^13*g2^13*y) - (t^4.382*y)/(g1*g2) - (t^6.676*y)/(g1^7*g2^7) - (t^6.912*y)/(g1^5*g2^5) - (g1^5*t^7.113*y)/g2^7 - (t^7.147*y)/(g1^3*g2^3) - (g2*t^7.181*y)/g1^11 + (g1^9*t^7.583*y)/g2^3 + g1*g2*t^7.618*y + (g2^5*t^7.652*y)/g1^7 + (t^7.823*y)/(g1^10*g2^10) + g1^3*g2^3*t^7.853*y + (t^8.024*y)/g2^12 + (2*t^8.058*y)/(g1^8*g2^8) + g1^5*g2^5*t^8.088*y + (t^8.093*y)/(g1^16*g2^4) + (g1^2*t^8.26*y)/g2^10 + (3*t^8.294*y)/(g1^6*g2^6) + (t^8.328*y)/(g1^14*g2^2) + (2*g1^4*t^8.495*y)/g2^8 + (3*t^8.529*y)/(g1^4*g2^4) + (2*t^8.563*y)/g1^12 + (g1^6*t^8.73*y)/g2^6 + (2*t^8.765*y)/(g1^2*g2^2) + (g2^2*t^8.799*y)/g1^10 - (t^8.97*y)/(g1^13*g2^13) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |