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 |
---|---|---|---|---|---|---|---|---|---|
58790 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4615 | 1.6648 | 0.8779 | [X:[1.3417], M:[0.6835, 1.0126], q:[0.5752, 0.5204], qb:[0.4669, 0.4626], phi:[0.3291]] | [X:[[0, 2]], M:[[0, 4], [0, 3]], q:[[-1, 9], [2, -17]], qb:[[-2, 14], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.05 + t^2.95 + t^2.96 + t^3.04 + t^3.11 + t^3.13 + t^3.94 + t^4.03 + 2*t^4.1 + t^4.11 + t^4.92 + t^4.94 + t^5. + t^5.01 + 2*t^5.09 + t^5.1 + 2*t^5.16 + 2*t^5.18 + t^5.9 + t^5.91 + t^5.92 + t^5.99 - 2*t^6. - t^6.01 + t^6.06 + 4*t^6.08 + t^6.09 + 4*t^6.15 + 2*t^6.16 + t^6.23 + t^6.24 + t^6.25 + t^6.89 + t^6.9 + 2*t^6.97 - t^7. + 3*t^7.05 + 4*t^7.06 + t^7.08 + t^7.13 + 5*t^7.14 + 3*t^7.15 + t^7.16 + 3*t^7.21 + 3*t^7.23 + t^7.24 + t^7.65 + 2*t^7.87 + t^7.89 + t^7.95 + t^7.96 - t^7.99 + 3*t^8.04 + t^8.05 + 2*t^8.11 + 7*t^8.13 + 3*t^8.14 + 6*t^8.2 + 4*t^8.21 + t^8.23 + 2*t^8.28 + 3*t^8.29 + 2*t^8.3 - t^8.71 - t^8.72 + t^8.85 + 2*t^8.86 + t^8.87 + t^8.94 - 2*t^8.95 - 2*t^8.96 - t^8.98 + t^8.96/y^2 - t^3.99/y - t^4.97/y - t^6.04/y - t^6.94/y - t^6.95/y - (2*t^7.03)/y - t^7.1/y - t^7.11/y - t^7.92/y + t^8./y - t^8.09/y - t^8.1/y + t^8.16/y + t^8.18/y + t^8.99/y - t^3.99*y - t^4.97*y - t^6.04*y - t^6.94*y - t^6.95*y - 2*t^7.03*y - t^7.1*y - t^7.11*y - t^7.92*y + t^8.*y - t^8.09*y - t^8.1*y + t^8.16*y + t^8.18*y + t^8.99*y + t^8.96*y^2 | g2^4*t^2.05 + (g1^3*t^2.95)/g2^17 + t^2.96/g2^3 + g2^3*t^3.04 + g2^9*t^3.11 + (g2^23*t^3.13)/g1^3 + (g1^3*t^3.94)/g2^18 + g2^2*t^4.03 + 2*g2^8*t^4.1 + (g2^22*t^4.11)/g1^3 + (g1^3*t^4.92)/g2^19 + t^4.94/g2^5 + (g1^3*t^5.)/g2^13 + g2*t^5.01 + 2*g2^7*t^5.09 + (g2^21*t^5.1)/g1^3 + 2*g2^13*t^5.16 + (2*g2^27*t^5.18)/g1^3 + (g1^6*t^5.9)/g2^34 + (g1^3*t^5.91)/g2^20 + t^5.92/g2^6 + (g1^3*t^5.99)/g2^14 - 2*t^6. - (g2^14*t^6.01)/g1^3 + (g1^3*t^6.06)/g2^8 + 4*g2^6*t^6.08 + (g2^20*t^6.09)/g1^3 + 4*g2^12*t^6.15 + (2*g2^26*t^6.16)/g1^3 + g2^18*t^6.23 + (g2^32*t^6.24)/g1^3 + (g2^46*t^6.25)/g1^6 + (g1^6*t^6.89)/g2^35 + (g1^3*t^6.9)/g2^21 + (2*g1^3*t^6.97)/g2^15 - (g2^13*t^7.)/g1^3 + (3*g1^3*t^7.05)/g2^9 + 4*g2^5*t^7.06 + (g2^19*t^7.08)/g1^3 + (g1^3*t^7.13)/g2^3 + 5*g2^11*t^7.14 + (3*g2^25*t^7.15)/g1^3 + (g2^39*t^7.16)/g1^6 + 3*g2^17*t^7.21 + (3*g2^31*t^7.23)/g1^3 + (g2^45*t^7.24)/g1^6 + (g1^6*t^7.65)/g2^54 + (2*g1^6*t^7.87)/g2^36 + (g1^3*t^7.89)/g2^22 + (g1^6*t^7.95)/g2^30 + (g1^3*t^7.96)/g2^16 - (g2^12*t^7.99)/g1^3 + (3*g1^3*t^8.04)/g2^10 + g2^4*t^8.05 + (2*g1^3*t^8.11)/g2^4 + 7*g2^10*t^8.13 + (3*g2^24*t^8.14)/g1^3 + 6*g2^16*t^8.2 + (4*g2^30*t^8.21)/g1^3 + (g2^44*t^8.23)/g1^6 + 2*g2^22*t^8.28 + (3*g2^36*t^8.29)/g1^3 + (2*g2^50*t^8.3)/g1^6 - (g1^6*t^8.71)/g2^49 - (g1^3*t^8.72)/g2^35 + (g1^9*t^8.85)/g2^51 + (2*g1^6*t^8.86)/g2^37 + (g1^3*t^8.87)/g2^23 + (g1^6*t^8.94)/g2^31 - (2*g1^3*t^8.95)/g2^17 - (2*t^8.96)/g2^3 - (g2^11*t^8.98)/g1^3 + t^8.96/(g2^3*y^2) - t^3.99/(g2*y) - t^4.97/(g2^2*y) - (g2^3*t^6.04)/y - (g1^3*t^6.94)/(g2^18*y) - t^6.95/(g2^4*y) - (2*g2^2*t^7.03)/y - (g2^8*t^7.1)/y - (g2^22*t^7.11)/(g1^3*y) - (g1^3*t^7.92)/(g2^19*y) + (g1^3*t^8.)/(g2^13*y) - (g2^7*t^8.09)/y - (g2^21*t^8.1)/(g1^3*y) + (g2^13*t^8.16)/y + (g2^27*t^8.18)/(g1^3*y) + (g1^3*t^8.99)/(g2^14*y) - (t^3.99*y)/g2 - (t^4.97*y)/g2^2 - g2^3*t^6.04*y - (g1^3*t^6.94*y)/g2^18 - (t^6.95*y)/g2^4 - 2*g2^2*t^7.03*y - g2^8*t^7.1*y - (g2^22*t^7.11*y)/g1^3 - (g1^3*t^7.92*y)/g2^19 + (g1^3*t^8.*y)/g2^13 - g2^7*t^8.09*y - (g2^21*t^8.1*y)/g1^3 + g2^13*t^8.16*y + (g2^27*t^8.18*y)/g1^3 + (g1^3*t^8.99*y)/g2^14 + (t^8.96*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 |
---|---|---|---|---|---|---|---|---|
61105 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 1.467 | 1.6739 | 0.8764 | [X:[1.3437], M:[0.6874, 1.0156, 0.9243], q:[0.5877, 0.4965], qb:[0.488, 0.459], phi:[0.3281]] | t^2.06 + t^2.77 + t^2.87 + t^2.95 + t^3.05 + t^3.14 + t^3.85 + t^4.03 + 2*t^4.12 + t^4.21 + 2*t^4.84 + t^4.92 + t^4.93 + t^5.02 + 2*t^5.11 + 3*t^5.2 + t^5.29 + t^5.55 + t^5.64 + 2*t^5.73 + 2*t^5.82 + 3*t^5.91 - 2*t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*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 |
---|---|---|---|---|---|---|---|---|---|
57572 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4615 | 1.6651 | 0.8777 | [X:[1.3411], M:[0.685, 1.0116], q:[0.5755, 0.5196], qb:[0.4659, 0.4622], phi:[0.3295]] | t^2.06 + t^2.95 + t^2.96 + t^3.03 + t^3.11 + t^3.12 + t^3.93 + t^4.02 + t^4.1 + 2*t^4.11 + t^4.92 + t^4.93 + t^5. + t^5.01 + 2*t^5.09 + t^5.1 + t^5.16 + 2*t^5.17 + t^5.18 + t^5.89 + t^5.9 + t^5.91 + t^5.98 + t^5.99 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail |