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 |
---|---|---|---|---|---|---|---|---|---|
1877 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6261 | 0.8118 | 0.7713 | [M:[1.0, 1.029, 0.942, 1.029, 0.7395, 0.717], q:[0.7572, 0.2428], qb:[0.5322, 0.5257], phi:[0.4855]] | [M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.151 + t^2.219 + t^2.305 + t^2.325 + t^2.826 + t^3. + 2*t^3.087 + t^3.762 + t^3.868 + t^4.302 + t^4.37 + t^4.437 + t^4.457 + t^4.476 + t^4.524 + t^4.543 + 2*t^4.611 + 2*t^4.63 + 2*t^4.65 + t^4.977 + t^5.045 + t^5.151 + t^5.219 + 2*t^5.238 + 3*t^5.305 + t^5.325 + 2*t^5.392 + 2*t^5.412 + t^5.652 + t^5.826 + 2*t^5.913 - 3*t^6. + t^6.067 + 3*t^6.087 + 3*t^6.174 + t^6.193 + t^6.453 + t^6.521 + t^6.588 + t^6.627 + t^6.656 + t^6.695 + t^6.743 + 2*t^6.762 + 2*t^6.801 + 2*t^6.829 + 2*t^6.849 + t^6.868 + 2*t^6.916 + 2*t^6.936 + 4*t^6.955 + 2*t^6.975 + t^7.128 + t^7.196 + t^7.263 + t^7.302 + t^7.37 + 2*t^7.389 + t^7.437 + t^7.457 + t^7.476 + 3*t^7.524 + t^7.563 + 3*t^7.611 + 3*t^7.63 + t^7.65 + 3*t^7.698 + 3*t^7.717 + 4*t^7.737 + t^7.803 + t^7.871 + t^7.977 + t^8.045 + 2*t^8.064 + t^8.132 - 3*t^8.151 - 3*t^8.219 + t^8.238 - 2*t^8.305 - 2*t^8.325 + 2*t^8.373 + 4*t^8.392 + 2*t^8.412 + t^8.478 + 3*t^8.479 + 3*t^8.499 + 2*t^8.518 + t^8.604 + t^8.652 + t^8.672 + 2*t^8.739 + t^8.778 + t^8.807 - 3*t^8.826 + t^8.846 + t^8.874 + 2*t^8.913 + 2*t^8.952 + t^8.961 + t^8.981 - t^4.457/y - t^6.608/y - t^6.675/y - t^7.283/y + (2*t^7.37)/y + t^7.457/y + t^7.476/y + t^7.524/y + (2*t^7.63)/y + t^7.977/y + t^8.045/y + t^8.132/y + (2*t^8.151)/y + t^8.219/y + (3*t^8.238)/y + (4*t^8.305)/y + t^8.325/y + (2*t^8.392)/y + (2*t^8.412)/y - t^8.759/y - t^8.894/y + (3*t^8.913)/y + t^8.981/y - t^4.457*y - t^6.608*y - t^6.675*y - t^7.283*y + 2*t^7.37*y + t^7.457*y + t^7.476*y + t^7.524*y + 2*t^7.63*y + t^7.977*y + t^8.045*y + t^8.132*y + 2*t^8.151*y + t^8.219*y + 3*t^8.238*y + 4*t^8.305*y + t^8.325*y + 2*t^8.392*y + 2*t^8.412*y - t^8.759*y - t^8.894*y + 3*t^8.913*y + t^8.981*y | t^2.151/(g1*g2^9) + (g2^3*t^2.219)/g1^5 + (g2^7*t^2.305)/g1 + (g1^7*t^2.325)/g2 + t^2.826/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.087 + (g2^5*t^3.762)/g1^3 + g1^9*g2*t^3.868 + t^4.302/(g1^2*g2^18) + t^4.37/(g1^6*g2^6) + (g2^6*t^4.437)/g1^10 + t^4.457/(g1^2*g2^2) + (g1^6*t^4.476)/g2^10 + (g2^10*t^4.524)/g1^6 + g1^2*g2^2*t^4.543 + (2*g2^14*t^4.611)/g1^2 + 2*g1^6*g2^6*t^4.63 + (2*g1^14*t^4.65)/g2^2 + t^4.977/(g1^9*g2^17) + t^5.045/(g1^13*g2^5) + t^5.151/(g1*g2^9) + (g2^3*t^5.219)/g1^5 + (2*g1^3*t^5.238)/g2^5 + (3*g2^7*t^5.305)/g1 + (g1^7*t^5.325)/g2 + 2*g1^3*g2^11*t^5.392 + 2*g1^11*g2^3*t^5.412 + t^5.652/(g1^16*g2^16) + t^5.826/(g1^8*g2^8) + (2*t^5.913)/(g1^4*g2^4) - 3*t^6. + (g2^12*t^6.067)/g1^4 + 3*g1^4*g2^4*t^6.087 + 3*g1^8*g2^8*t^6.174 + g1^16*t^6.193 + t^6.453/(g1^3*g2^27) + t^6.521/(g1^7*g2^15) + t^6.588/(g1^11*g2^3) + (g1^5*t^6.627)/g2^19 + (g2^9*t^6.656)/g1^15 + (g1*t^6.695)/g2^7 + (g2^13*t^6.743)/g1^11 + (2*g2^5*t^6.762)/g1^3 + (2*g1^13*t^6.801)/g2^11 + (2*g2^17*t^6.829)/g1^7 + 2*g1*g2^9*t^6.849 + g1^9*g2*t^6.868 + (2*g2^21*t^6.916)/g1^3 + 2*g1^5*g2^13*t^6.936 + 4*g1^13*g2^5*t^6.955 + (2*g1^21*t^6.975)/g2^3 + t^7.128/(g1^10*g2^26) + t^7.196/(g1^14*g2^14) + t^7.263/(g1^18*g2^2) + t^7.302/(g1^2*g2^18) + t^7.37/(g1^6*g2^6) + (2*g1^2*t^7.389)/g2^14 + (g2^6*t^7.437)/g1^10 + t^7.457/(g1^2*g2^2) + (g1^6*t^7.476)/g2^10 + (3*g2^10*t^7.524)/g1^6 + (g1^10*t^7.563)/g2^6 + (3*g2^14*t^7.611)/g1^2 + 3*g1^6*g2^6*t^7.63 + (g1^14*t^7.65)/g2^2 + 3*g1^2*g2^18*t^7.698 + 3*g1^10*g2^10*t^7.717 + 4*g1^18*g2^2*t^7.737 + t^7.803/(g1^17*g2^25) + t^7.871/(g1^21*g2^13) + t^7.977/(g1^9*g2^17) + t^8.045/(g1^13*g2^5) + (2*t^8.064)/(g1^5*g2^13) + t^8.132/(g1^9*g2) - (3*t^8.151)/(g1*g2^9) - (3*g2^3*t^8.219)/g1^5 + (g1^3*t^8.238)/g2^5 - (2*g2^7*t^8.305)/g1 - (2*g1^7*t^8.325)/g2 + (2*g2^19*t^8.373)/g1^5 + 4*g1^3*g2^11*t^8.392 + 2*g1^11*g2^3*t^8.412 + t^8.478/(g1^24*g2^24) + 3*g1^7*g2^15*t^8.479 + 3*g1^15*g2^7*t^8.499 + (2*g1^23*t^8.518)/g2 + t^8.604/(g1^4*g2^36) + t^8.652/(g1^16*g2^16) + t^8.672/(g1^8*g2^24) + (2*t^8.739)/(g1^12*g2^12) + (g1^4*t^8.778)/g2^28 + t^8.807/g1^16 - (3*t^8.826)/(g1^8*g2^8) + t^8.846/g2^16 + (g2^12*t^8.874)/g1^20 + (2*t^8.913)/(g1^4*g2^4) + (2*g1^12*t^8.952)/g2^20 + (g2^16*t^8.961)/g1^16 + (g2^8*t^8.981)/g1^8 - t^4.457/(g1^2*g2^2*y) - t^6.608/(g1^3*g2^11*y) - (g2*t^6.675)/(g1^7*y) - t^7.283/(g1^10*g2^10*y) + (2*t^7.37)/(g1^6*g2^6*y) + t^7.457/(g1^2*g2^2*y) + (g1^6*t^7.476)/(g2^10*y) + (g2^10*t^7.524)/(g1^6*y) + (2*g1^6*g2^6*t^7.63)/y + t^7.977/(g1^9*g2^17*y) + t^8.045/(g1^13*g2^5*y) + t^8.132/(g1^9*g2*y) + (2*t^8.151)/(g1*g2^9*y) + (g2^3*t^8.219)/(g1^5*y) + (3*g1^3*t^8.238)/(g2^5*y) + (4*g2^7*t^8.305)/(g1*y) + (g1^7*t^8.325)/(g2*y) + (2*g1^3*g2^11*t^8.392)/y + (2*g1^11*g2^3*t^8.412)/y - t^8.759/(g1^4*g2^20*y) - (g2^4*t^8.894)/(g1^12*y) + (3*t^8.913)/(g1^4*g2^4*y) + (g2^8*t^8.981)/(g1^8*y) - (t^4.457*y)/(g1^2*g2^2) - (t^6.608*y)/(g1^3*g2^11) - (g2*t^6.675*y)/g1^7 - (t^7.283*y)/(g1^10*g2^10) + (2*t^7.37*y)/(g1^6*g2^6) + (t^7.457*y)/(g1^2*g2^2) + (g1^6*t^7.476*y)/g2^10 + (g2^10*t^7.524*y)/g1^6 + 2*g1^6*g2^6*t^7.63*y + (t^7.977*y)/(g1^9*g2^17) + (t^8.045*y)/(g1^13*g2^5) + (t^8.132*y)/(g1^9*g2) + (2*t^8.151*y)/(g1*g2^9) + (g2^3*t^8.219*y)/g1^5 + (3*g1^3*t^8.238*y)/g2^5 + (4*g2^7*t^8.305*y)/g1 + (g1^7*t^8.325*y)/g2 + 2*g1^3*g2^11*t^8.392*y + 2*g1^11*g2^3*t^8.412*y - (t^8.759*y)/(g1^4*g2^20) - (g2^4*t^8.894*y)/g1^12 + (3*t^8.913*y)/(g1^4*g2^4) + (g2^8*t^8.981*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|
2891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6008 | 0.7925 | 0.758 | [M:[1.0, 0.9314, 1.1372, 0.9314, 0.7401, 0.8628], q:[0.7328, 0.2672], qb:[0.4584, 0.4044], phi:[0.5343]] | t^2.015 + t^2.177 + t^2.22 + t^2.588 + 2*t^2.794 + t^3. + t^3.412 + t^3.574 + t^3.617 + 2*t^4.029 + 2*t^4.191 + t^4.235 + 2*t^4.354 + t^4.397 + t^4.441 + t^4.603 + t^4.765 + 3*t^4.809 + 2*t^4.971 + 3*t^5.015 + 2*t^5.177 + t^5.22 + 2*t^5.383 + 4*t^5.588 + 2*t^5.632 + t^5.751 + 3*t^5.794 - 2*t^6. - t^4.603/y - t^4.603*y | detail | |
2890 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6466 | 0.8507 | 0.76 | [M:[1.0, 1.0338, 0.9324, 1.0338, 0.7334, 0.7159, 0.6996], q:[0.7584, 0.2416], qb:[0.542, 0.5256], phi:[0.4831]] | t^2.099 + t^2.148 + t^2.2 + t^2.301 + t^2.351 + t^2.797 + t^3. + 2*t^3.101 + t^3.751 + t^4.198 + t^4.247 + t^4.296 + t^4.299 + t^4.348 + 2*t^4.4 + 2*t^4.449 + t^4.498 + t^4.502 + t^4.551 + 2*t^4.603 + 2*t^4.652 + 2*t^4.701 + t^4.896 + t^4.945 + t^4.997 + t^5.099 + t^5.148 + 3*t^5.2 + 2*t^5.249 + 3*t^5.301 + t^5.351 + 2*t^5.403 + 2*t^5.452 + t^5.595 + t^5.797 + t^5.85 + 2*t^5.899 - 3*t^6. - t^4.449/y - t^4.449*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 |
---|---|---|---|---|---|---|---|---|---|
523 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.405 + t^4.469 + t^4.532 + 2*t^4.533 + 2*t^4.596 + 2*t^4.659 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*y | detail |