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 |
---|---|---|---|---|---|---|---|---|---|
1747 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6079 | 0.7819 | 0.7775 | [M:[0.9811, 1.0568, 0.7263], q:[0.7453, 0.2737], qb:[0.4905, 0.4527], phi:[0.5095]] | [M:[[4], [-12], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 2*t^2.179 + t^2.293 + t^2.943 + t^3.057 + 2*t^3.17 + t^3.594 + 2*t^3.707 + t^4.244 + 4*t^4.358 + 3*t^4.472 + t^4.585 + 2*t^5.122 + 3*t^5.236 + 4*t^5.349 + t^5.463 + 2*t^5.773 + 4*t^5.886 - t^6. + 2*t^6.227 + 3*t^6.341 + 2*t^6.423 + 6*t^6.537 + 5*t^6.651 + 3*t^6.764 + 2*t^6.878 - t^6.991 + t^7.188 + 5*t^7.301 + 6*t^7.415 + 5*t^7.528 + 2*t^7.642 + t^7.756 + t^7.838 + 5*t^7.952 + 5*t^8.065 - 3*t^8.179 - 2*t^8.293 + 2*t^8.406 + t^8.489 + 5*t^8.52 + 4*t^8.602 + t^8.634 + 9*t^8.716 + 7*t^8.83 + 2*t^8.943 - t^4.528/y - t^6.707/y + (2*t^7.358)/y + (2*t^7.472)/y - t^7.699/y + (2*t^8.122)/y + (3*t^8.236)/y + (6*t^8.349)/y + (2*t^8.463)/y + (2*t^8.773)/y + (4*t^8.886)/y - t^4.528*y - t^6.707*y + 2*t^7.358*y + 2*t^7.472*y - t^7.699*y + 2*t^8.122*y + 3*t^8.236*y + 6*t^8.349*y + 2*t^8.463*y + 2*t^8.773*y + 4*t^8.886*y | 2*g1^5*t^2.179 + t^2.293/g1^3 + g1^4*t^2.943 + t^3.057/g1^4 + (2*t^3.17)/g1^12 + g1^11*t^3.594 + 2*g1^3*t^3.707 + g1^18*t^4.244 + 4*g1^10*t^4.358 + 3*g1^2*t^4.472 + t^4.585/g1^6 + 2*g1^9*t^5.122 + 3*g1*t^5.236 + (4*t^5.349)/g1^7 + t^5.463/g1^15 + 2*g1^16*t^5.773 + 4*g1^8*t^5.886 - t^6. + (2*t^6.227)/g1^16 + (3*t^6.341)/g1^24 + 2*g1^23*t^6.423 + 6*g1^15*t^6.537 + 5*g1^7*t^6.651 + (3*t^6.764)/g1 + (2*t^6.878)/g1^9 - t^6.991/g1^17 + g1^22*t^7.188 + 5*g1^14*t^7.301 + 6*g1^6*t^7.415 + (5*t^7.528)/g1^2 + (2*t^7.642)/g1^10 + t^7.756/g1^18 + g1^29*t^7.838 + 5*g1^21*t^7.952 + 5*g1^13*t^8.065 - 3*g1^5*t^8.179 - (2*t^8.293)/g1^3 + (2*t^8.406)/g1^11 + g1^36*t^8.489 + (5*t^8.52)/g1^19 + 4*g1^28*t^8.602 + t^8.634/g1^27 + 9*g1^20*t^8.716 + 7*g1^12*t^8.83 + 2*g1^4*t^8.943 - t^4.528/(g1^2*y) - (g1^3*t^6.707)/y + (2*g1^10*t^7.358)/y + (2*g1^2*t^7.472)/y - t^7.699/(g1^14*y) + (2*g1^9*t^8.122)/y + (3*g1*t^8.236)/y + (6*t^8.349)/(g1^7*y) + (2*t^8.463)/(g1^15*y) + (2*g1^16*t^8.773)/y + (4*g1^8*t^8.886)/y - (t^4.528*y)/g1^2 - g1^3*t^6.707*y + 2*g1^10*t^7.358*y + 2*g1^2*t^7.472*y - (t^7.699*y)/g1^14 + 2*g1^9*t^8.122*y + 3*g1*t^8.236*y + (6*t^8.349*y)/g1^7 + (2*t^8.463*y)/g1^15 + 2*g1^16*t^8.773*y + 4*g1^8*t^8.886*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 |
---|---|---|---|---|---|---|---|---|
2752 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.625 | 0.8119 | 0.7698 | [M:[0.9898, 1.0305, 0.7373, 0.778], q:[0.7475, 0.2627], qb:[0.4949, 0.4746], phi:[0.5051]] | 2*t^2.212 + t^2.273 + t^2.334 + t^2.97 + t^3.03 + 2*t^3.091 + 2*t^3.727 + t^4.363 + 4*t^4.424 + 3*t^4.485 + 3*t^4.546 + t^4.607 + t^4.668 + 2*t^5.181 + 3*t^5.242 + 5*t^5.303 + 2*t^5.364 + 2*t^5.425 + 3*t^5.939 - t^6. - t^4.515/y - t^4.515*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 |
---|---|---|---|---|---|---|---|---|---|
223 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6081 | 0.7817 | 0.778 | [M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.205 + t^2.262 + t^2.933 + t^3.067 + 2*t^3.201 + t^3.604 + t^3.662 + t^3.738 + t^4.275 + t^4.333 + t^4.39 + 3*t^4.409 + 2*t^4.467 + t^4.524 + 2*t^5.138 + t^5.195 + 2*t^5.272 + t^5.329 + 3*t^5.405 + t^5.463 + 2*t^5.809 + 3*t^5.866 + t^5.923 + t^5.943 - 2*t^6. - t^4.533/y - t^4.533*y | detail |