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 |
---|---|---|---|---|---|---|---|---|---|
1066 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7056 | 0.8857 | 0.7967 | [M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | [M:[[9], [-4], [9], [-6], [-1], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.033 + 2*t^2.339 + t^2.644 + 2*t^2.95 + t^3.356 + 2*t^3.967 + 2*t^4.067 + 4*t^4.372 + 4*t^4.678 + t^4.778 + 4*t^4.983 + 5*t^5.289 + t^5.389 + 2*t^5.695 + 3*t^5.9 - 2*t^6. + 2*t^6.1 + 4*t^6.305 + 4*t^6.406 + t^6.611 + 8*t^6.711 + t^6.812 + 2*t^6.916 + 8*t^7.017 + 2*t^7.117 + 7*t^7.322 + 2*t^7.423 + 6*t^7.628 + 2*t^7.728 + 6*t^7.933 - t^8.033 + 3*t^8.134 + 6*t^8.239 - 4*t^8.339 + 4*t^8.439 + 3*t^8.644 + 8*t^8.745 + 2*t^8.845 + 4*t^8.85 - 6*t^8.95 - t^4.322/y - t^6.356/y - (2*t^6.661)/y - (2*t^7.272)/y + (4*t^7.372)/y + (2*t^7.678)/y + (6*t^7.983)/y + (5*t^8.289)/y + (2*t^8.594)/y + t^8.9/y - t^4.322*y - t^6.356*y - 2*t^6.661*y - 2*t^7.272*y + 4*t^7.372*y + 2*t^7.678*y + 6*t^7.983*y + 5*t^8.289*y + 2*t^8.594*y + t^8.9*y | t^2.033/g1^6 + (2*t^2.339)/g1 + g1^4*t^2.644 + 2*g1^9*t^2.95 + t^3.356/g1^4 + 2*g1^6*t^3.967 + (2*t^4.067)/g1^12 + (4*t^4.372)/g1^7 + (4*t^4.678)/g1^2 + t^4.778/g1^20 + 4*g1^3*t^4.983 + 5*g1^8*t^5.289 + t^5.389/g1^10 + (2*t^5.695)/g1^5 + 3*g1^18*t^5.9 - 2*t^6. + (2*t^6.1)/g1^18 + 4*g1^5*t^6.305 + (4*t^6.406)/g1^13 + g1^10*t^6.611 + (8*t^6.711)/g1^8 + t^6.812/g1^26 + 2*g1^15*t^6.916 + (8*t^7.017)/g1^3 + (2*t^7.117)/g1^21 + 7*g1^2*t^7.322 + (2*t^7.423)/g1^16 + 6*g1^7*t^7.628 + (2*t^7.728)/g1^11 + 6*g1^12*t^7.933 - t^8.033/g1^6 + (3*t^8.134)/g1^24 + 6*g1^17*t^8.239 - (4*t^8.339)/g1 + (4*t^8.439)/g1^19 + 3*g1^4*t^8.644 + (8*t^8.745)/g1^14 + (2*t^8.845)/g1^32 + 4*g1^27*t^8.85 - 6*g1^9*t^8.95 - (g1^2*t^4.322)/y - t^6.356/(g1^4*y) - (2*g1*t^6.661)/y - (2*g1^11*t^7.272)/y + (4*t^7.372)/(g1^7*y) + (2*t^7.678)/(g1^2*y) + (6*g1^3*t^7.983)/y + (5*g1^8*t^8.289)/y + (2*g1^13*t^8.594)/y + (g1^18*t^8.9)/y - g1^2*t^4.322*y - (t^6.356*y)/g1^4 - 2*g1*t^6.661*y - 2*g1^11*t^7.272*y + (4*t^7.372*y)/g1^7 + (2*t^7.678*y)/g1^2 + 6*g1^3*t^7.983*y + 5*g1^8*t^8.289*y + 2*g1^13*t^8.594*y + g1^18*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
1659 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7264 | 0.9268 | 0.7838 | [M:[0.9847, 1.1179, 0.9847, 0.6769, 0.7795, 0.7795, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | 2*t^2.031 + 2*t^2.338 + t^2.646 + 2*t^2.954 + t^3.354 + t^3.969 + 4*t^4.061 + 6*t^4.369 + 5*t^4.677 + t^4.769 + 6*t^4.985 + 5*t^5.292 + 2*t^5.384 + 2*t^5.692 + 3*t^5.908 - 2*t^6. - t^4.323/y - t^4.323*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 |
---|---|---|---|---|---|---|---|---|---|
665 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.688 | 0.8543 | 0.8054 | [M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], phi:[0.4403]] | t^2.038 + t^2.34 + t^2.642 + 2*t^2.943 + t^3.358 + t^3.66 + 2*t^3.962 + 2*t^4.075 + 3*t^4.377 + 2*t^4.679 + t^4.792 + 3*t^4.981 + 3*t^5.283 + t^5.396 + 2*t^5.698 + 3*t^5.887 - t^6. - t^4.321/y - t^4.321*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |