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 |
---|---|---|---|---|---|---|---|---|---|
57901 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3277 | 1.5232 | 0.8717 | [X:[1.3547], M:[0.7733, 1.2907], q:[0.2994, 0.6541], qb:[0.5726, 0.3459], phi:[0.3547]] | [X:[[0, 1]], M:[[0, 5], [0, -2]], q:[[-1, -1], [-1, 0]], qb:[[1, -5], [1, 0]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.32 + t^2.62 + 2*t^3. + t^3.19 + t^3.68 + t^3.87 + 3*t^4.06 + t^4.64 + 2*t^4.74 + t^4.82 + t^4.86 + t^5.13 + t^5.23 + t^5.32 + t^5.51 + t^5.54 + 2*t^5.62 + 2*t^5.81 + 3*t^5.89 + t^5.92 - t^6. + 3*t^6.19 + t^6.3 + t^6.31 + 3*t^6.38 + t^6.49 + t^6.6 + 4*t^6.68 - t^6.79 + 2*t^6.87 + 2*t^6.95 + t^6.96 + t^6.99 + 4*t^7.06 - t^7.14 + 3*t^7.26 + 3*t^7.36 + t^7.44 + t^7.47 + t^7.64 + t^7.67 + 7*t^7.74 + t^7.83 + t^7.85 + 2*t^7.94 + 2*t^8.01 + t^8.05 + 6*t^8.13 + t^8.15 + 2*t^8.23 - t^8.24 - t^8.32 + t^8.35 + 4*t^8.42 + 4*t^8.5 + 2*t^8.51 + 2*t^8.54 - 2*t^8.62 + t^8.63 - t^8.69 + 3*t^8.7 + t^8.73 + 9*t^8.81 + 4*t^8.89 + t^8.91 + 2*t^8.92 - t^4.06/y - t^5.13/y - t^6.38/y - t^6.68/y - t^7.06/y - t^7.26/y - t^7.45/y - t^7.74/y + t^7.94/y - (3*t^8.13)/y + t^8.32/y + t^8.51/y + (2*t^8.62)/y - t^8.7/y - t^4.06*y - t^5.13*y - t^6.38*y - t^6.68*y - t^7.06*y - t^7.26*y - t^7.45*y - t^7.74*y + t^7.94*y - 3*t^8.13*y + t^8.32*y + t^8.51*y + 2*t^8.62*y - t^8.7*y | g2^5*t^2.32 + t^2.62/g2^6 + 2*t^3. + g2^3*t^3.19 + t^3.68/g2^5 + t^3.87/g2^2 + 3*g2*t^4.06 + g2^10*t^4.64 + (2*t^4.74)/g2^4 + t^4.82/(g1^3*g2) + (g1^3*t^4.86)/g2^4 + g2^2*t^5.13 + t^5.23/g2^12 + g2^5*t^5.32 + g2^8*t^5.51 + (g1^3*t^5.54)/g2^9 + (2*t^5.62)/g2^6 + (2*t^5.81)/g2^3 + (3*t^5.89)/g1^3 + (g1^3*t^5.92)/g2^3 - t^6. + 3*g2^3*t^6.19 + t^6.3/g2^11 + g1^3*g2^3*t^6.31 + 3*g2^6*t^6.38 + t^6.49/g2^8 + (g1^3*t^6.6)/g2^8 + (4*t^6.68)/g2^5 - (g1^3*t^6.79)/g2^5 + (2*t^6.87)/g2^2 + (2*g2*t^6.95)/g1^3 + g2^15*t^6.96 + (g1^3*t^6.99)/g2^2 + 4*g2*t^7.06 - (g2^4*t^7.14)/g1^3 + 3*g2^4*t^7.26 + (3*t^7.36)/g2^10 + t^7.44/(g1^3*g2^7) + (g1^3*t^7.47)/g2^10 + g2^10*t^7.64 + (g1^3*t^7.67)/g2^7 + (7*t^7.74)/g2^4 + g2^13*t^7.83 + t^7.85/g2^18 + (2*t^7.94)/g2 + (2*g2^2*t^8.01)/g1^3 + (g1^3*t^8.05)/g2 + 6*g2^2*t^8.13 + (g1^3*t^8.15)/g2^15 + (2*t^8.23)/g2^12 - g1^3*g2^2*t^8.24 - g2^5*t^8.32 + (g1^3*t^8.35)/g2^12 + (4*t^8.42)/g2^9 + (4*t^8.5)/(g1^3*g2^6) + 2*g2^8*t^8.51 + (2*g1^3*t^8.54)/g2^9 - (2*t^8.62)/g2^6 + g1^3*g2^8*t^8.63 - t^8.69/(g1^3*g2^3) + 3*g2^11*t^8.7 + (g1^3*t^8.73)/g2^6 + (9*t^8.81)/g2^3 + (4*t^8.89)/g1^3 + t^8.91/g2^17 + (2*g1^3*t^8.92)/g2^3 - (g2*t^4.06)/y - (g2^2*t^5.13)/y - (g2^6*t^6.38)/y - t^6.68/(g2^5*y) - (g2*t^7.06)/y - (g2^4*t^7.26)/y - (g2^7*t^7.45)/y - t^7.74/(g2^4*y) + t^7.94/(g2*y) - (3*g2^2*t^8.13)/y + (g2^5*t^8.32)/y + (g2^8*t^8.51)/y + (2*t^8.62)/(g2^6*y) - (g2^11*t^8.7)/y - g2*t^4.06*y - g2^2*t^5.13*y - g2^6*t^6.38*y - (t^6.68*y)/g2^5 - g2*t^7.06*y - g2^4*t^7.26*y - g2^7*t^7.45*y - (t^7.74*y)/g2^4 + (t^7.94*y)/g2 - 3*g2^2*t^8.13*y + g2^5*t^8.32*y + g2^8*t^8.51*y + (2*t^8.62*y)/g2^6 - g2^11*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
61239 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2505 | 1.4392 | 0.8689 | [X:[1.3366], M:[0.6828, 1.3269], q:[0.4423, 0.7789], qb:[0.5383, 0.2211], phi:[0.3366]] | t^2.05 + t^2.94 + 2*t^3. + t^3.03 + 2*t^3.95 + t^3.98 + 3*t^4.01 + t^4.1 + t^4.9 + 3*t^4.96 + 2*t^5.02 + t^5.05 + t^5.08 + t^5.88 + t^5.91 + t^5.94 + 3*t^5.97 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*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 |
---|---|---|---|---|---|---|---|---|---|
57293 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.4741 | 1.6834 | 0.8757 | [M:[0.6772, 1.3291], q:[0.4937, 0.5], qb:[0.4937, 0.5], phi:[0.3354]] | t^2.032 + t^2.962 + 2*t^2.981 + t^3. + t^3.019 + 3*t^3.987 + t^4.006 + t^4.063 + t^4.975 + 3*t^4.994 + 3*t^5.013 + t^5.032 + t^5.051 + 2*t^5.468 + 2*t^5.487 + t^5.924 + 2*t^5.943 + 4*t^5.962 + t^5.981 - t^6. - t^4.006/y - t^5.013/y - t^4.006*y - t^5.013*y | detail |