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 |
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57283 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0912 | 1.2034 | 0.9068 | [X:[1.5512], M:[0.8976], q:[0.4016, 1.0748], qb:[0.7008, 0.4764], phi:[0.2244]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 5], [-1, 2]], qb:[[1, -1], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -1 | t^2.02 + t^2.634 + t^2.693 + t^3.307 + t^3.98 + t^4.039 + 3*t^4.654 + t^4.712 + t^5.268 + 2*t^5.327 + t^5.385 + 2*t^5.634 + t^5.941 - t^6. + t^6.059 + 2*t^6.307 + 2*t^6.615 + t^6.673 + t^6.732 + 4*t^7.288 + 3*t^7.346 + t^7.405 + t^7.902 + 4*t^7.961 + t^8.02 + 2*t^8.078 + 2*t^8.268 + t^8.576 - t^8.693 + t^8.751 + 4*t^8.941 + t^8.02/y^2 - t^8.693/y^2 - t^3.673/y - t^4.346/y - t^5.693/y - t^6.307/y - (2*t^6.366)/y - t^6.98/y - t^7.039/y + t^7.654/y - (2*t^8.385)/y - t^3.673*y - t^4.346*y - t^5.693*y - t^6.307*y - 2*t^6.366*y - t^6.98*y - t^7.039*y + t^7.654*y - 2*t^8.385*y + t^8.02*y^2 - t^8.693*y^2 | t^2.02/g2^3 + g2^5*t^2.634 + t^2.693/g2^4 + g2^4*t^3.307 + g2^3*t^3.98 + t^4.039/g2^6 + 3*g2^2*t^4.654 + t^4.712/g2^7 + g2^10*t^5.268 + 2*g2*t^5.327 + t^5.385/g2^8 + (g1^3*t^5.634)/g2^2 + (g2^12*t^5.634)/g1^3 + g2^9*t^5.941 - t^6. + t^6.059/g2^9 + (g1^3*t^6.307)/g2^3 + (g2^11*t^6.307)/g1^3 + 2*g2^8*t^6.615 + t^6.673/g2 + t^6.732/g2^10 + 4*g2^7*t^7.288 + (3*t^7.346)/g2^2 + t^7.405/g2^11 + g2^15*t^7.902 + 4*g2^6*t^7.961 + t^8.02/g2^3 + (2*t^8.078)/g2^12 + g1^3*g2^3*t^8.268 + (g2^17*t^8.268)/g1^3 + g2^14*t^8.576 - t^8.693/g2^4 + t^8.751/g2^13 + 2*g1^3*g2^2*t^8.941 + (2*g2^16*t^8.941)/g1^3 + t^8.02/(g2^3*y^2) - t^8.693/(g2^4*y^2) - t^3.673/(g2*y) - t^4.346/(g2^2*y) - t^5.693/(g2^4*y) - (g2^4*t^6.307)/y - (2*t^6.366)/(g2^5*y) - (g2^3*t^6.98)/y - t^7.039/(g2^6*y) + (g2^2*t^7.654)/y - (2*t^8.385)/(g2^8*y) - (t^3.673*y)/g2 - (t^4.346*y)/g2^2 - (t^5.693*y)/g2^4 - g2^4*t^6.307*y - (2*t^6.366*y)/g2^5 - g2^3*t^6.98*y - (t^7.039*y)/g2^6 + g2^2*t^7.654*y - (2*t^8.385*y)/g2^8 + (t^8.02*y^2)/g2^3 - (t^8.693*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
58004 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0808 | 1.1759 | 0.9192 | [X:[1.5655, 1.3483], M:[0.8689, 0.8689], q:[0.4207, 1.0724], qb:[0.7104, 0.4931], phi:[0.2172]] | 2*t^2.61 + t^2.74 + 2*t^4.04 + 2*t^4.7 + 3*t^5.21 + 2*t^5.35 + t^5.48 + 2*t^5.74 - 3*t^6. - t^3.65/y - t^4.3/y - t^3.65*y - t^4.3*y | detail | |
58003 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0702 | 1.1605 | 0.9222 | [X:[1.5556, 1.3333], M:[0.8889], q:[0.4074, 1.0741], qb:[0.7037, 0.4815], phi:[0.2222]] | 2*t^2.67 + t^3.33 + 2*t^4. + 2*t^4.67 + 3*t^5.33 + 2*t^5.67 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 1387/1296, c: 94/81, X1: 14/9, X2: 4/3, M1: 8/9, q1: 11/27, q2: 29/27, qb1: 19/27, qb2: 13/27, phi1: 2/9} |
58002 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0664 | 1.1532 | 0.9248 | [X:[1.5659, 1.3488], M:[0.8682], q:[0.3928, 1.0439], qb:[0.739, 0.522], phi:[0.2171]] | t^2.6 + t^2.74 + t^3.4 + 2*t^4.05 + 2*t^4.7 + t^5.21 + t^5.35 + 2*t^5.49 - t^6. - t^3.65/y - t^4.3/y - t^3.65*y - t^4.3*y | detail | {a: 94649/88752, c: 51173/44376, X1: 202/129, X2: 58/43, M1: 112/129, q1: 152/387, q2: 404/387, qb1: 286/387, qb2: 202/387, phi1: 28/129} |
58001 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0575 | 1.1325 | 0.9338 | [X:[1.6, 1.4], M:[0.8], q:[0.4667, 1.0667], qb:[0.7333, 0.5333], phi:[0.2]] | t^2.4 + t^3. + t^3.6 + 2*t^4.2 + 3*t^4.8 + t^5.4 + t^6. - t^3.6/y - t^4.2/y - t^6./y - t^3.6*y - t^4.2*y - t^6.*y | detail | {a: 423/400, c: 453/400, X1: 8/5, X2: 7/5, M1: 4/5, q1: 7/15, q2: 16/15, qb1: 11/15, qb2: 8/15, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. - t^3.881/y - t^4.763/y - t^3.881*y - t^4.763*y | detail |