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 |
---|---|---|---|---|---|---|---|---|---|
58138 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 1.318 | 1.4981 | 0.8798 | [X:[1.3531], M:[0.9704, 1.0296], q:[0.6371, 0.3728], qb:[0.716, 0.3333], phi:[0.3235]] | [X:[[0, 2]], M:[[0, -3], [0, 3]], q:[[-1, -3], [-1, 4]], qb:[[1, 5], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0 | t^2.12 + 2*t^2.91 + t^3.09 + t^3.27 + t^3.88 + 3*t^4.06 + 2*t^4.24 + 3*t^5.03 + 2*t^5.12 + t^5.21 + t^5.38 + 2*t^5.82 + 2*t^5.91 + 2*t^6.09 + 5*t^6.18 + 2*t^6.27 + 3*t^6.36 + t^6.53 + 4*t^6.97 + 6*t^7.15 + 2*t^7.24 + 5*t^7.33 + 2*t^7.5 - 2*t^7.85 + 5*t^7.94 + 2*t^8.03 + 5*t^8.12 + 2*t^8.21 + 8*t^8.3 + 4*t^8.38 + 4*t^8.47 + t^8.65 + 2*t^8.73 + 2*t^8.82 - 2*t^8.91 + t^8.91/y^2 - t^3.97/y - t^4.94/y - t^6.09/y - (2*t^6.88)/y - t^7.06/y - t^7.24/y - (2*t^7.85)/y - t^8.21/y + t^8.38/y + t^8.82/y - t^3.97*y - t^4.94*y - t^6.09*y - 2*t^6.88*y - t^7.06*y - t^7.24*y - 2*t^7.85*y - t^8.21*y + t^8.38*y + t^8.82*y + t^8.91*y^2 | g2^4*t^2.12 + (2*t^2.91)/g2^3 + g2^3*t^3.09 + g2^9*t^3.27 + t^3.88/g2^4 + 3*g2^2*t^4.06 + 2*g2^8*t^4.24 + 3*g2*t^5.03 + (g2^4*t^5.12)/g1^3 + g1^3*g2^4*t^5.12 + g2^7*t^5.21 + g2^13*t^5.38 + (2*t^5.82)/g2^6 + t^5.91/(g1^3*g2^3) + (g1^3*t^5.91)/g2^3 + (g2^3*t^6.09)/g1^3 + g1^3*g2^3*t^6.09 + 5*g2^6*t^6.18 + (g2^9*t^6.27)/g1^3 + g1^3*g2^9*t^6.27 + 3*g2^12*t^6.36 + g2^18*t^6.53 + (4*t^6.97)/g2 + 6*g2^5*t^7.15 + (g2^8*t^7.24)/g1^3 + g1^3*g2^8*t^7.24 + 5*g2^11*t^7.33 + 2*g2^17*t^7.5 - t^7.85/(g1^3*g2^5) - (g1^3*t^7.85)/g2^5 + (5*t^7.94)/g2^2 + (g2*t^8.03)/g1^3 + g1^3*g2*t^8.03 + 5*g2^4*t^8.12 + (g2^7*t^8.21)/g1^3 + g1^3*g2^7*t^8.21 + 8*g2^10*t^8.3 + (2*g2^13*t^8.38)/g1^3 + 2*g1^3*g2^13*t^8.38 + 4*g2^16*t^8.47 + g2^22*t^8.65 + (2*t^8.73)/g2^9 + t^8.82/(g1^3*g2^6) + (g1^3*t^8.82)/g2^6 - (2*t^8.91)/g2^3 + t^8.91/(g2^3*y^2) - t^3.97/(g2*y) - t^4.94/(g2^2*y) - (g2^3*t^6.09)/y - (2*t^6.88)/(g2^4*y) - (g2^2*t^7.06)/y - (g2^8*t^7.24)/y - (2*t^7.85)/(g2^5*y) - (g2^7*t^8.21)/y + (g2^13*t^8.38)/y + t^8.82/(g2^6*y) - (t^3.97*y)/g2 - (t^4.94*y)/g2^2 - g2^3*t^6.09*y - (2*t^6.88*y)/g2^4 - g2^2*t^7.06*y - g2^8*t^7.24*y - (2*t^7.85*y)/g2^5 - g2^7*t^8.21*y + g2^13*t^8.38*y + (t^8.82*y)/g2^6 + (t^8.91*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
61172 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 1.3211 | 1.5016 | 0.8798 | [X:[1.3582], M:[0.9628, 1.0372, 0.9628], q:[0.6294, 0.383], qb:[0.7287, 0.3333], phi:[0.3209]] | t^2.15 + 3*t^2.89 + t^3.34 + t^3.85 + 3*t^4.07 + 2*t^4.3 + 4*t^5.04 + 2*t^5.15 + t^5.48 + 5*t^5.78 + 2*t^5.89 - 2*t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*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 |
---|---|---|---|---|---|---|---|---|---|
57340 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3522 | 1.5252 | 0.8866 | [X:[1.423], M:[0.8655, 0.8299], q:[0.7352, 0.4111], qb:[0.6878, 0.4349], phi:[0.2885]] | t^2.49 + t^2.538 + 2*t^2.597 + t^3.297 + t^4.162 + 3*t^4.269 + t^4.376 + t^4.979 + t^5.028 + t^5.076 + 2*t^5.086 + 3*t^5.134 + 3*t^5.193 + 2*t^5.538 + t^5.786 + t^5.835 + t^5.893 - 3*t^6. - t^3.866/y - t^4.731/y - t^3.866*y - t^4.731*y | detail |