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 |
---|---|---|---|---|---|---|---|---|---|
3691 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.6406 | 0.7956 | 0.8052 | [X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]] | [X:[[4], [28]], M:[[12], [-28], [-12], [-4], [-18], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. + 2*t^6.15 + t^6.3 + 4*t^6.389 + 3*t^6.54 + t^6.6 + 2*t^6.69 + 4*t^6.84 + 4*t^6.99 + 3*t^7.14 + 3*t^7.679 + t^7.74 + 6*t^7.83 + 3*t^7.98 + t^8.041 - 2*t^8.13 + 2*t^8.28 + 5*t^8.519 - 2*t^8.58 + 4*t^8.669 + 3*t^8.819 + t^8.88 + 6*t^8.97 - t^4.14/y - (2*t^6.27)/y - t^6.42/y + t^7.26/y + (2*t^7.41)/y + (2*t^7.71)/y + (2*t^7.86)/y + (2*t^8.01)/y - (3*t^8.4)/y + (4*t^8.7)/y + (4*t^8.85)/y - t^4.14*y - 2*t^6.27*y - t^6.42*y + t^7.26*y + 2*t^7.41*y + 2*t^7.71*y + 2*t^7.86*y + 2*t^8.01*y - 3*t^8.4*y + 4*t^8.7*y + 4*t^8.85*y | (2*t^2.13)/g1^18 + t^2.28/g1^8 + g1^12*t^2.58 + t^3.42/g1^12 + (2*t^3.57)/g1^2 + g1^8*t^3.72 + g1^28*t^4.02 + (3*t^4.26)/g1^36 + (2*t^4.41)/g1^26 + t^4.56/g1^16 + (2*t^4.71)/g1^6 + 2*g1^4*t^4.86 + g1^24*t^5.16 + (2*t^5.55)/g1^30 + (4*t^5.7)/g1^20 + (2*t^5.85)/g1^10 - t^6. + 2*g1^10*t^6.15 + g1^20*t^6.3 + (4*t^6.389)/g1^54 + (3*t^6.54)/g1^44 + g1^40*t^6.6 + (2*t^6.69)/g1^34 + (4*t^6.84)/g1^24 + (4*t^6.99)/g1^14 + (3*t^7.14)/g1^4 + (3*t^7.679)/g1^48 + g1^36*t^7.74 + (6*t^7.83)/g1^38 + (3*t^7.98)/g1^28 + g1^56*t^8.041 - (2*t^8.13)/g1^18 + (2*t^8.28)/g1^8 + (5*t^8.519)/g1^72 - 2*g1^12*t^8.58 + (4*t^8.669)/g1^62 + (3*t^8.819)/g1^52 + g1^32*t^8.88 + (6*t^8.97)/g1^42 - t^4.14/(g1^4*y) - (2*t^6.27)/(g1^22*y) - t^6.42/(g1^12*y) + t^7.26/(g1^36*y) + (2*t^7.41)/(g1^26*y) + (2*t^7.71)/(g1^6*y) + (2*g1^4*t^7.86)/y + (2*g1^14*t^8.01)/y - (3*t^8.4)/(g1^40*y) + (4*t^8.7)/(g1^20*y) + (4*t^8.85)/(g1^10*y) - (t^4.14*y)/g1^4 - (2*t^6.27*y)/g1^22 - (t^6.42*y)/g1^12 + (t^7.26*y)/g1^36 + (2*t^7.41*y)/g1^26 + (2*t^7.71*y)/g1^6 + 2*g1^4*t^7.86*y + 2*g1^14*t^8.01*y - (3*t^8.4*y)/g1^40 + (4*t^8.7*y)/g1^20 + (4*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
3963 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$ | 0.6534 | 0.8169 | 0.7999 | [X:[1.6158, 1.3109], M:[0.8475, 0.6891, 1.1525, 0.3842, 0.7287, 0.7287, 0.8475], q:[0.404, 0.7485], qb:[0.4436, 0.8673], phi:[0.3842]] | 2*t^2.186 + t^2.305 + 2*t^2.543 + 2*t^3.576 + t^3.695 + t^3.933 + 3*t^4.372 + 2*t^4.491 + t^4.61 + 4*t^4.729 + 3*t^4.848 + 3*t^5.085 + 3*t^5.762 + 2*t^5.881 - 2*t^6. - t^4.152/y - t^4.152*y | detail | |
3962 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.622 | 0.7618 | 0.8165 | [X:[1.6183, 1.3279], M:[0.8548, 0.6721, 1.1452, 0.3817, 0.7178, 0.7178, 1.2365], q:[0.4046, 0.7406], qb:[0.4502, 0.8777], phi:[0.3817]] | 2*t^2.153 + t^2.564 + t^3.436 + 2*t^3.573 + 2*t^3.71 + t^3.984 + 3*t^4.307 + 2*t^4.718 + t^4.855 + t^5.129 + 2*t^5.589 + 3*t^5.726 + 2*t^5.863 - 2*t^6. - t^4.145/y - t^4.145*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 |
---|---|---|---|---|---|---|---|---|---|
3264 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.8546, 0.6726, 1.1454, 0.3818, 0.7181], q:[0.4045, 0.7409], qb:[0.45, 0.8773], phi:[0.3818]] | t^2.018 + t^2.154 + t^2.291 + t^2.564 + t^3.436 + 2*t^3.573 + t^3.709 + t^3.846 + t^4.036 + t^4.172 + 2*t^4.309 + t^4.445 + 2*t^4.582 + t^4.718 + 2*t^4.855 + t^5.128 + t^5.454 + 3*t^5.591 + 3*t^5.727 + 2*t^5.864 - t^4.145/y - t^4.145*y | detail |