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 |
---|---|---|---|---|---|---|---|---|---|
3642 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6259 | 0.8118 | 0.7711 | [M:[1.0, 0.9469, 0.7301, 1.0531, 0.7301], q:[0.7566, 0.2434], qb:[0.5133, 0.5398], phi:[0.4867]] | [M:[[0], [-8], [-3], [8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | -2 | 2*t^2.19 + t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.159 + t^3.73 + t^3.889 + 3*t^4.381 + 2*t^4.46 + 4*t^4.54 + 2*t^4.619 + 2*t^4.699 + 3*t^5.111 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + t^5.429 + t^5.509 + 3*t^5.841 + 2*t^5.92 - 2*t^6. + 3*t^6.08 + t^6.159 + t^6.239 + t^6.319 + 3*t^6.571 + 3*t^6.65 + 5*t^6.73 + 4*t^6.81 + 6*t^6.889 + 2*t^6.969 + 3*t^7.049 + 4*t^7.301 + 3*t^7.381 + 6*t^7.46 + 5*t^7.54 + 5*t^7.619 + 4*t^7.699 + 2*t^7.779 + 2*t^7.858 + 4*t^8.031 + 3*t^8.111 - 2*t^8.19 + 2*t^8.27 - 3*t^8.35 + 3*t^8.429 + 3*t^8.509 + 3*t^8.588 + t^8.668 + 8*t^8.761 + 3*t^8.841 - t^4.46/y - (2*t^6.65)/y + (2*t^7.46)/y + (3*t^7.54)/y + t^7.619/y + (4*t^8.111)/y + (4*t^8.19)/y + (5*t^8.27)/y + (3*t^8.35)/y + t^8.429/y + t^8.509/y - (2*t^8.841)/y + (4*t^8.92)/y - t^4.46*y - 2*t^6.65*y + 2*t^7.46*y + 3*t^7.54*y + t^7.619*y + 4*t^8.111*y + 4*t^8.19*y + 5*t^8.27*y + 3*t^8.35*y + t^8.429*y + t^8.509*y - 2*t^8.841*y + 4*t^8.92*y | (2*t^2.19)/g1^3 + g1*t^2.27 + g1^5*t^2.35 + (2*t^2.92)/g1^4 + t^3. + g1^8*t^3.159 + t^3.73/g1 + g1^7*t^3.889 + (3*t^4.381)/g1^6 + (2*t^4.46)/g1^2 + 4*g1^2*t^4.54 + 2*g1^6*t^4.619 + 2*g1^10*t^4.699 + (3*t^5.111)/g1^7 + (3*t^5.19)/g1^3 + 3*g1*t^5.27 + 3*g1^5*t^5.35 + g1^9*t^5.429 + g1^13*t^5.509 + (3*t^5.841)/g1^8 + (2*t^5.92)/g1^4 - 2*t^6. + 3*g1^4*t^6.08 + g1^8*t^6.159 + g1^12*t^6.239 + g1^16*t^6.319 + (3*t^6.571)/g1^9 + (3*t^6.65)/g1^5 + (5*t^6.73)/g1 + 4*g1^3*t^6.81 + 6*g1^7*t^6.889 + 2*g1^11*t^6.969 + 3*g1^15*t^7.049 + (4*t^7.301)/g1^10 + (3*t^7.381)/g1^6 + (6*t^7.46)/g1^2 + 5*g1^2*t^7.54 + 5*g1^6*t^7.619 + 4*g1^10*t^7.699 + 2*g1^14*t^7.779 + 2*g1^18*t^7.858 + (4*t^8.031)/g1^11 + (3*t^8.111)/g1^7 - (2*t^8.19)/g1^3 + 2*g1*t^8.27 - 3*g1^5*t^8.35 + 3*g1^9*t^8.429 + 3*g1^13*t^8.509 + 3*g1^17*t^8.588 + g1^21*t^8.668 + (8*t^8.761)/g1^12 + (3*t^8.841)/g1^8 - t^4.46/(g1^2*y) - (2*t^6.65)/(g1^5*y) + (2*t^7.46)/(g1^2*y) + (3*g1^2*t^7.54)/y + (g1^6*t^7.619)/y + (4*t^8.111)/(g1^7*y) + (4*t^8.19)/(g1^3*y) + (5*g1*t^8.27)/y + (3*g1^5*t^8.35)/y + (g1^9*t^8.429)/y + (g1^13*t^8.509)/y - (2*t^8.841)/(g1^8*y) + (4*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (2*t^6.65*y)/g1^5 + (2*t^7.46*y)/g1^2 + 3*g1^2*t^7.54*y + g1^6*t^7.619*y + (4*t^8.111*y)/g1^7 + (4*t^8.19*y)/g1^3 + 5*g1*t^8.27*y + 3*g1^5*t^8.35*y + g1^9*t^8.429*y + g1^13*t^8.509*y - (2*t^8.841*y)/g1^8 + (4*t^8.92*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3916 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6465 | 0.8511 | 0.7596 | [M:[1.0, 0.9368, 0.7263, 1.0632, 0.7263, 0.6947], q:[0.7579, 0.2421], qb:[0.5158, 0.5474], phi:[0.4842]] | t^2.084 + 2*t^2.179 + t^2.274 + t^2.368 + 2*t^2.905 + t^3. + t^3.19 + t^3.726 + t^4.168 + 2*t^4.263 + 4*t^4.358 + 3*t^4.453 + 4*t^4.547 + 2*t^4.642 + 2*t^4.737 + 2*t^4.989 + 4*t^5.084 + 3*t^5.179 + 4*t^5.274 + 3*t^5.368 + t^5.463 + t^5.558 + 4*t^5.81 + 2*t^5.905 - 2*t^6. - t^4.453/y - t^4.453*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 |
---|---|---|---|---|---|---|---|---|---|
3223 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6062 | 0.7757 | 0.7815 | [M:[1.0, 0.9565, 0.7337, 1.0435], q:[0.7554, 0.2446], qb:[0.5109, 0.5326], phi:[0.4891]] | t^2.201 + t^2.266 + t^2.332 + 2*t^2.935 + t^3. + t^3.13 + t^3.734 + t^3.799 + t^3.864 + t^4.402 + t^4.467 + 3*t^4.533 + 2*t^4.598 + 2*t^4.663 + t^5.136 + 2*t^5.201 + 3*t^5.266 + 2*t^5.332 + t^5.397 + t^5.462 + 3*t^5.87 + t^5.935 - t^6. - t^4.467/y - t^4.467*y | detail |