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 |
---|---|---|---|---|---|---|---|---|---|
525 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6284 | 0.8132 | 0.7728 | [M:[1.0, 1.0446, 0.9108, 0.7388, 0.7388], q:[0.7612, 0.2388], qb:[0.5446, 0.5446], phi:[0.4777]] | [M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$ | ${}$ | -4 | 2*t^2.217 + 2*t^2.35 + t^2.732 + t^2.866 + t^3. + t^3.134 + 2*t^3.917 + 3*t^4.433 + 4*t^4.567 + 6*t^4.701 + 2*t^4.949 + 2*t^5.083 + 4*t^5.217 + 4*t^5.35 + t^5.465 + 2*t^5.484 + t^5.598 + 2*t^5.732 + t^5.866 - 4*t^6. + 4*t^6.134 + 4*t^6.268 - 2*t^6.516 + 4*t^6.65 + 4*t^6.783 + 10*t^6.917 + 10*t^7.051 + 3*t^7.165 + 3*t^7.299 + 5*t^7.433 + 8*t^7.567 + 2*t^7.681 + 6*t^7.701 + 2*t^7.815 + 6*t^7.835 + 4*t^7.949 + 4*t^8.083 + t^8.197 - 8*t^8.217 + t^8.331 - 4*t^8.35 + 2*t^8.465 + 4*t^8.484 + 2*t^8.598 + 10*t^8.618 - 5*t^8.732 - t^4.433/y - (2*t^6.65)/y - t^7.165/y + t^7.433/y + (4*t^7.567)/y + (2*t^7.701)/y + (2*t^7.949)/y + (4*t^8.083)/y + (6*t^8.217)/y + (4*t^8.35)/y + (2*t^8.484)/y + t^8.598/y + t^8.732/y - t^8.866/y - t^4.433*y - 2*t^6.65*y - t^7.165*y + t^7.433*y + 4*t^7.567*y + 2*t^7.701*y + 2*t^7.949*y + 4*t^8.083*y + 6*t^8.217*y + 4*t^8.35*y + 2*t^8.484*y + t^8.598*y + t^8.732*y - t^8.866*y | (g1^3*t^2.217)/g2^5 + (g2^3*t^2.217)/g1^5 + (g1^7*t^2.35)/g2 + (g2^7*t^2.35)/g1 + t^2.732/(g1^8*g2^8) + t^2.866/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.134 + g1^9*g2*t^3.917 + g1*g2^9*t^3.917 + (g1^6*t^4.433)/g2^10 + t^4.433/(g1^2*g2^2) + (g2^6*t^4.433)/g1^10 + (g1^10*t^4.567)/g2^6 + 2*g1^2*g2^2*t^4.567 + (g2^10*t^4.567)/g1^6 + (2*g1^14*t^4.701)/g2^2 + 2*g1^6*g2^6*t^4.701 + (2*g2^14*t^4.701)/g1^2 + t^4.949/(g1^5*g2^13) + t^4.949/(g1^13*g2^5) + t^5.083/(g1*g2^9) + t^5.083/(g1^9*g2) + (2*g1^3*t^5.217)/g2^5 + (2*g2^3*t^5.217)/g1^5 + (2*g1^7*t^5.35)/g2 + (2*g2^7*t^5.35)/g1 + t^5.465/(g1^16*g2^16) + g1^11*g2^3*t^5.484 + g1^3*g2^11*t^5.484 + t^5.598/(g1^12*g2^12) + (2*t^5.732)/(g1^8*g2^8) + t^5.866/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.134)/g2^4 + 2*g1^4*g2^4*t^6.134 + (g2^12*t^6.134)/g1^4 + g1^16*t^6.268 + 2*g1^8*g2^8*t^6.268 + g2^16*t^6.268 - t^6.516/(g1^3*g2^11) - t^6.516/(g1^11*g2^3) + (g1^9*t^6.65)/g2^15 + (g1*t^6.65)/g2^7 + (g2*t^6.65)/g1^7 + (g2^9*t^6.65)/g1^15 + (g1^13*t^6.783)/g2^11 + (g1^5*t^6.783)/g2^3 + (g2^5*t^6.783)/g1^3 + (g2^13*t^6.783)/g1^11 + (2*g1^17*t^6.917)/g2^7 + 3*g1^9*g2*t^6.917 + 3*g1*g2^9*t^6.917 + (2*g2^17*t^6.917)/g1^7 + (2*g1^21*t^7.051)/g2^3 + 3*g1^13*g2^5*t^7.051 + 3*g1^5*g2^13*t^7.051 + (2*g2^21*t^7.051)/g1^3 + t^7.165/(g1^2*g2^18) + t^7.165/(g1^10*g2^10) + t^7.165/(g1^18*g2^2) + (g1^2*t^7.299)/g2^14 + t^7.299/(g1^6*g2^6) + (g2^2*t^7.299)/g1^14 + (2*g1^6*t^7.433)/g2^10 + t^7.433/(g1^2*g2^2) + (2*g2^6*t^7.433)/g1^10 + (3*g1^10*t^7.567)/g2^6 + 2*g1^2*g2^2*t^7.567 + (3*g2^10*t^7.567)/g1^6 + t^7.681/(g1^13*g2^21) + t^7.681/(g1^21*g2^13) + (2*g1^14*t^7.701)/g2^2 + 2*g1^6*g2^6*t^7.701 + (2*g2^14*t^7.701)/g1^2 + t^7.815/(g1^9*g2^17) + t^7.815/(g1^17*g2^9) + 2*g1^18*g2^2*t^7.835 + 2*g1^10*g2^10*t^7.835 + 2*g1^2*g2^18*t^7.835 + (2*t^7.949)/(g1^5*g2^13) + (2*t^7.949)/(g1^13*g2^5) + (2*t^8.083)/(g1*g2^9) + (2*t^8.083)/(g1^9*g2) + t^8.197/(g1^24*g2^24) - (g1^11*t^8.217)/g2^13 - (3*g1^3*t^8.217)/g2^5 - (3*g2^3*t^8.217)/g1^5 - (g2^11*t^8.217)/g1^13 + t^8.331/(g1^20*g2^20) - (2*g1^7*t^8.35)/g2 - (2*g2^7*t^8.35)/g1 + (2*t^8.465)/(g1^16*g2^16) + (g1^19*t^8.484)/g2^5 + g1^11*g2^3*t^8.484 + g1^3*g2^11*t^8.484 + (g2^19*t^8.484)/g1^5 + (2*t^8.598)/(g1^12*g2^12) + (2*g1^23*t^8.618)/g2 + 3*g1^15*g2^7*t^8.618 + 3*g1^7*g2^15*t^8.618 + (2*g2^23*t^8.618)/g1 - t^8.732/g1^16 - t^8.732/g2^16 - (3*t^8.732)/(g1^8*g2^8) + (g1^12*t^8.866)/g2^20 - (2*t^8.866)/(g1^4*g2^4) + (g2^12*t^8.866)/g1^20 - t^4.433/(g1^2*g2^2*y) - (g1*t^6.65)/(g2^7*y) - (g2*t^6.65)/(g1^7*y) - t^7.165/(g1^10*g2^10*y) + t^7.433/(g1^2*g2^2*y) + (g1^10*t^7.567)/(g2^6*y) + (2*g1^2*g2^2*t^7.567)/y + (g2^10*t^7.567)/(g1^6*y) + (2*g1^6*g2^6*t^7.701)/y + t^7.949/(g1^5*g2^13*y) + t^7.949/(g1^13*g2^5*y) + (2*t^8.083)/(g1*g2^9*y) + (2*t^8.083)/(g1^9*g2*y) + (3*g1^3*t^8.217)/(g2^5*y) + (3*g2^3*t^8.217)/(g1^5*y) + (2*g1^7*t^8.35)/(g2*y) + (2*g2^7*t^8.35)/(g1*y) + (g1^11*g2^3*t^8.484)/y + (g1^3*g2^11*t^8.484)/y + t^8.598/(g1^12*g2^12*y) + t^8.732/(g1^8*g2^8*y) - (g1^4*t^8.866)/(g2^12*y) + t^8.866/(g1^4*g2^4*y) - (g2^4*t^8.866)/(g1^12*y) - (t^4.433*y)/(g1^2*g2^2) - (g1*t^6.65*y)/g2^7 - (g2*t^6.65*y)/g1^7 - (t^7.165*y)/(g1^10*g2^10) + (t^7.433*y)/(g1^2*g2^2) + (g1^10*t^7.567*y)/g2^6 + 2*g1^2*g2^2*t^7.567*y + (g2^10*t^7.567*y)/g1^6 + 2*g1^6*g2^6*t^7.701*y + (t^7.949*y)/(g1^5*g2^13) + (t^7.949*y)/(g1^13*g2^5) + (2*t^8.083*y)/(g1*g2^9) + (2*t^8.083*y)/(g1^9*g2) + (3*g1^3*t^8.217*y)/g2^5 + (3*g2^3*t^8.217*y)/g1^5 + (2*g1^7*t^8.35*y)/g2 + (2*g2^7*t^8.35*y)/g1 + g1^11*g2^3*t^8.484*y + g1^3*g2^11*t^8.484*y + (t^8.598*y)/(g1^12*g2^12) + (t^8.732*y)/(g1^8*g2^8) - (g1^4*t^8.866*y)/g2^12 + (t^8.866*y)/(g1^4*g2^4) - (g2^4*t^8.866*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
820 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.624 | 0.8111 | 0.7693 | [M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 2*t^2.248 + 2*t^2.255 + t^2.994 + t^3. + t^3.006 + t^3.012 + 2*t^3.758 + 3*t^4.497 + 4*t^4.503 + 6*t^4.509 + 4*t^5.248 + 4*t^5.255 + 4*t^5.261 + 2*t^5.267 + t^5.988 - 4*t^6. - t^4.497/y - t^4.497*y | detail | |
1870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6491 | 0.8532 | 0.7608 | [M:[1.0, 1.0477, 0.9045, 0.7352, 0.7409, 0.6874], q:[0.7619, 0.2381], qb:[0.5506, 0.5449], phi:[0.4761]] | t^2.062 + t^2.206 + t^2.223 + t^2.349 + t^2.366 + t^2.714 + t^2.857 + t^3. + t^3.143 + t^3.92 + t^4.125 + t^4.268 + t^4.285 + 2*t^4.411 + 2*t^4.428 + t^4.446 + t^4.554 + 2*t^4.572 + t^4.589 + 2*t^4.698 + 2*t^4.715 + 2*t^4.732 + t^4.776 + 2*t^4.919 + t^4.936 + 2*t^5.062 + t^5.08 + 3*t^5.206 + 2*t^5.223 + 2*t^5.349 + 2*t^5.366 + t^5.427 + t^5.492 + t^5.509 + t^5.57 + 2*t^5.714 + t^5.857 - 2*t^6. - t^4.428/y - t^4.428*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 |
---|---|---|---|---|---|---|---|---|---|
334 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6092 | 0.7784 | 0.7826 | [M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.187 + t^2.315 + t^2.376 + t^2.745 + t^2.873 + t^3. + t^3.127 + t^3.751 + t^3.878 + t^3.94 + t^4.375 + t^4.502 + t^4.564 + 2*t^4.629 + 2*t^4.691 + 2*t^4.753 + t^4.933 + t^5.06 + 2*t^5.187 + t^5.249 + 2*t^5.315 + t^5.376 + t^5.442 + t^5.491 + t^5.504 + t^5.618 + 2*t^5.745 + t^5.873 - 2*t^6. - t^4.436/y - t^4.436*y | detail |