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 |
---|---|---|---|---|---|---|---|---|---|
3991 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6667 | 0.8446 | 0.7894 | [M:[1.1828, 1.2114, 0.76, 0.8172, 0.8172, 0.76, 0.8458, 0.7313], q:[0.8029, 0.4372], qb:[0.38, 0.8029], phi:[0.3943]] | [M:[[-6], [4], [-14], [6], [6], [-14], [16], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.194 + 2*t^2.28 + 2*t^2.451 + t^2.537 + t^3.549 + 2*t^3.634 + t^4.388 + 2*t^4.474 + 3*t^4.56 + 2*t^4.646 + 5*t^4.731 + 3*t^4.817 + 3*t^4.903 + 2*t^4.989 + t^5.075 + t^5.743 + 3*t^5.828 + 2*t^5.914 - t^6. + 3*t^6.086 + t^6.172 + t^6.582 + 2*t^6.668 + 3*t^6.754 + 6*t^6.84 + 5*t^6.925 + 8*t^7.011 + 6*t^7.097 + 6*t^7.183 + 5*t^7.269 + 4*t^7.354 + 2*t^7.44 + 2*t^7.526 + t^7.612 + t^7.937 + 3*t^8.022 + 3*t^8.108 + t^8.194 - 2*t^8.28 + 2*t^8.366 - 3*t^8.451 - t^8.537 + t^8.709 + t^8.776 + 2*t^8.862 + 3*t^8.948 - t^4.183/y - t^6.377/y - (2*t^6.463)/y - t^6.634/y - t^6.72/y + (2*t^7.474)/y + t^7.56/y + (3*t^7.646)/y + (6*t^7.731)/y + (2*t^7.817)/y + (3*t^7.903)/y + (3*t^7.989)/y - t^8.571/y - (2*t^8.657)/y - (2*t^8.743)/y + (3*t^8.828)/y + t^8.914/y - t^4.183*y - t^6.377*y - 2*t^6.463*y - t^6.634*y - t^6.72*y + 2*t^7.474*y + t^7.56*y + 3*t^7.646*y + 6*t^7.731*y + 2*t^7.817*y + 3*t^7.903*y + 3*t^7.989*y - t^8.571*y - 2*t^8.657*y - 2*t^8.743*y + 3*t^8.828*y + t^8.914*y | t^2.194/g1^24 + (2*t^2.28)/g1^14 + 2*g1^6*t^2.451 + g1^16*t^2.537 + t^3.549/g1^6 + 2*g1^4*t^3.634 + t^4.388/g1^48 + (2*t^4.474)/g1^38 + (3*t^4.56)/g1^28 + (2*t^4.646)/g1^18 + (5*t^4.731)/g1^8 + 3*g1^2*t^4.817 + 3*g1^12*t^4.903 + 2*g1^22*t^4.989 + g1^32*t^5.075 + t^5.743/g1^30 + (3*t^5.828)/g1^20 + (2*t^5.914)/g1^10 - t^6. + 3*g1^10*t^6.086 + g1^20*t^6.172 + t^6.582/g1^72 + (2*t^6.668)/g1^62 + (3*t^6.754)/g1^52 + (6*t^6.84)/g1^42 + (5*t^6.925)/g1^32 + (8*t^7.011)/g1^22 + (6*t^7.097)/g1^12 + (6*t^7.183)/g1^2 + 5*g1^8*t^7.269 + 4*g1^18*t^7.354 + 2*g1^28*t^7.44 + 2*g1^38*t^7.526 + g1^48*t^7.612 + t^7.937/g1^54 + (3*t^8.022)/g1^44 + (3*t^8.108)/g1^34 + t^8.194/g1^24 - (2*t^8.28)/g1^14 + (2*t^8.366)/g1^4 - 3*g1^6*t^8.451 - g1^16*t^8.537 + g1^36*t^8.709 + t^8.776/g1^96 + (2*t^8.862)/g1^86 + (3*t^8.948)/g1^76 - t^4.183/(g1^2*y) - t^6.377/(g1^26*y) - (2*t^6.463)/(g1^16*y) - (g1^4*t^6.634)/y - (g1^14*t^6.72)/y + (2*t^7.474)/(g1^38*y) + t^7.56/(g1^28*y) + (3*t^7.646)/(g1^18*y) + (6*t^7.731)/(g1^8*y) + (2*g1^2*t^7.817)/y + (3*g1^12*t^7.903)/y + (3*g1^22*t^7.989)/y - t^8.571/(g1^50*y) - (2*t^8.657)/(g1^40*y) - (2*t^8.743)/(g1^30*y) + (3*t^8.828)/(g1^20*y) + t^8.914/(g1^10*y) - (t^4.183*y)/g1^2 - (t^6.377*y)/g1^26 - (2*t^6.463*y)/g1^16 - g1^4*t^6.634*y - g1^14*t^6.72*y + (2*t^7.474*y)/g1^38 + (t^7.56*y)/g1^28 + (3*t^7.646*y)/g1^18 + (6*t^7.731*y)/g1^8 + 2*g1^2*t^7.817*y + 3*g1^12*t^7.903*y + 3*g1^22*t^7.989*y - (t^8.571*y)/g1^50 - (2*t^8.657*y)/g1^40 - (2*t^8.743*y)/g1^30 + (3*t^8.828*y)/g1^20 + (t^8.914*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
5558 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$ | 0.6822 | 0.8713 | 0.783 | [M:[1.1854, 1.2098, 0.7658, 0.8146, 0.8146, 0.7658, 0.839, 0.7414, 0.8146], q:[0.8024, 0.4317], qb:[0.3829, 0.8024], phi:[0.3951]] | t^2.224 + 2*t^2.298 + 3*t^2.444 + t^2.517 + 2*t^3.629 + t^4.449 + 2*t^4.522 + 3*t^4.595 + 3*t^4.668 + 7*t^4.741 + 3*t^4.815 + 6*t^4.888 + 3*t^4.961 + t^5.034 + t^5.854 + 2*t^5.927 - 3*t^6. - t^4.185/y - t^4.185*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 |
---|---|---|---|---|---|---|---|---|---|
1607 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6475 | 0.8091 | 0.8002 | [M:[1.1899, 1.2067, 0.7764, 0.8101, 0.8101, 0.7764, 0.827], q:[0.8017, 0.4219], qb:[0.3882, 0.8017], phi:[0.3966]] | 2*t^2.329 + 2*t^2.43 + t^2.481 + t^3.57 + 2*t^3.62 + t^3.721 + 3*t^4.658 + 4*t^4.76 + 3*t^4.81 + 3*t^4.861 + 2*t^4.911 + t^4.962 + t^5.899 + 2*t^5.949 - t^6. - t^4.19/y - t^4.19*y | detail |