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 |
---|---|---|---|---|---|---|---|---|---|
112 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[1.0, 0.7645], q:[0.6323, 0.9855], qb:[0.3677, 0.4855], phi:[0.3823]] | [M:[[0, 0], [-2, -2]], q:[[-3, 0], [4, 1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. + 4*t^6.353 - t^6.44 + 2*t^6.619 + 3*t^6.706 - 2*t^6.794 + 4*t^6.881 + t^6.972 + 3*t^7.147 + 5*t^7.413 - 2*t^7.5 + t^7.587 + t^7.679 + 2*t^7.94 + 3*t^8.119 + 2*t^8.206 - 4*t^8.294 + 4*t^8.472 - 4*t^8.56 + 2*t^8.647 - t^8.734 + t^8.825 + 4*t^8.913 - t^4.147/y - (2*t^6.44)/y + t^7.587/y + (4*t^7.853)/y + (2*t^8.294)/y + t^8.56/y + (4*t^8.647)/y - (3*t^8.734)/y + (2*t^8.913)/y - t^4.147*y - 2*t^6.44*y + t^7.587*y + 4*t^7.853*y + 2*t^8.294*y + t^8.56*y + 4*t^8.647*y - 3*t^8.734*y + 2*t^8.913*y | (2*t^2.294)/(g1^2*g2^2) + g1^3*g2^3*t^2.56 + t^3. + (g1^5*t^3.353)/g2 + (g2^3*t^3.353)/g1^3 + g1^7*g2*t^4.06 + (g2^5*t^4.06)/g1 + g1^4*g2^4*t^4.413 + (3*t^4.587)/(g1^4*g2^4) + 3*g1*g2*t^4.853 + g1^6*g2^6*t^5.119 + t^5.294/(g1^2*g2^2) + g1^3*g2^3*t^5.56 + (g1^3*t^5.647)/g2^3 + (g2*t^5.647)/g1^5 + g1^8*g2^2*t^5.913 + g2^6*t^5.913 - 2*t^6. + (2*g1^5*t^6.353)/g2 + (2*g2^3*t^6.353)/g1^3 - t^6.44/(g1^3*g2^3) + g1^10*g2^4*t^6.619 + g1^2*g2^8*t^6.619 + (g1^10*t^6.706)/g2^2 + g1^2*g2^2*t^6.706 + (g2^6*t^6.706)/g1^6 - t^6.794/g1^6 - (g1^2*t^6.794)/g2^4 + (4*t^6.881)/(g1^6*g2^6) + g1^7*g2^7*t^6.972 + (3*t^7.147)/(g1*g2) + g1^12*t^7.413 + 3*g1^4*g2^4*t^7.413 + (g2^8*t^7.413)/g1^4 - (g1^4*t^7.5)/g2^2 - (g2^2*t^7.5)/g1^4 + t^7.587/(g1^4*g2^4) + g1^9*g2^9*t^7.679 + (g1*t^7.94)/g2^5 + t^7.94/(g1^7*g2) + g1^14*g2^2*t^8.119 + g1^6*g2^6*t^8.119 + (g2^10*t^8.119)/g1^2 + g1^6*t^8.206 + (g2^4*t^8.206)/g1^2 - (4*t^8.294)/(g1^2*g2^2) + 2*g1^11*g2^5*t^8.472 + 2*g1^3*g2^9*t^8.472 - 4*g1^3*g2^3*t^8.56 + (g1^3*t^8.647)/g2^3 + (g2*t^8.647)/g1^5 - t^8.734/(g1^5*g2^5) + g1^8*g2^8*t^8.825 + 2*g1^8*g2^2*t^8.913 + 2*g2^6*t^8.913 - t^4.147/(g1*g2*y) - (2*t^6.44)/(g1^3*g2^3*y) + t^7.587/(g1^4*g2^4*y) + (4*g1*g2*t^7.853)/y + (2*t^8.294)/(g1^2*g2^2*y) + (g1^3*g2^3*t^8.56)/y + (2*g1^3*t^8.647)/(g2^3*y) + (2*g2*t^8.647)/(g1^5*y) - (3*t^8.734)/(g1^5*g2^5*y) + (g1^8*g2^2*t^8.913)/y + (g2^6*t^8.913)/y - (t^4.147*y)/(g1*g2) - (2*t^6.44*y)/(g1^3*g2^3) + (t^7.587*y)/(g1^4*g2^4) + 4*g1*g2*t^7.853*y + (2*t^8.294*y)/(g1^2*g2^2) + g1^3*g2^3*t^8.56*y + (2*g1^3*t^8.647*y)/g2^3 + (2*g2*t^8.647*y)/g1^5 - (3*t^8.734*y)/(g1^5*g2^5) + g1^8*g2^2*t^8.913*y + g2^6*t^8.913*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 |
---|---|---|---|---|---|---|---|---|
179 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | 0.5873 | 0.7229 | 0.8123 | [M:[1.0, 0.7807], q:[0.5855, 1.0241], qb:[0.4145, 0.4145], phi:[0.3903]] | 2*t^2.342 + t^2.487 + 2*t^3. + 2*t^3.658 + 2*t^4.316 + 3*t^4.684 + 3*t^4.829 + t^4.974 + 2*t^5.342 + 2*t^5.487 + 2*t^6. - t^4.171/y - t^4.171*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 |
---|---|---|---|---|---|---|---|---|---|
73 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. - t^4.167/y - t^4.167*y | detail |