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 |
---|---|---|---|---|---|---|---|---|---|
46848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]] | [M:[[6], [4], [-2], [0], [0]], q:[[-3], [-3]], qb:[[-1], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -1 | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. + t^6.148 + t^6.295 - t^6.443 + t^6.541 + t^6.59 + t^6.688 + 2*t^6.836 + 3*t^6.984 + 3*t^7.131 + 4*t^7.279 + 4*t^7.426 + 4*t^7.574 + t^7.672 + 3*t^7.721 + t^7.82 + 3*t^7.869 + 3*t^7.967 + t^8.016 + 2*t^8.115 + t^8.164 + 3*t^8.262 + 4*t^8.41 + t^8.852 - t^4.426/y - t^6.984/y - t^7.131/y + t^7.721/y + t^7.869/y + t^8.262/y + t^8.41/y + (3*t^8.557)/y + (3*t^8.705)/y + (4*t^8.852)/y - t^4.426*y - t^6.984*y - t^7.131*y + t^7.721*y + t^7.869*y + t^8.262*y + t^8.41*y + 3*t^8.557*y + 3*t^8.705*y + 4*t^8.852*y | g1^6*t^2.557 + g1^4*t^2.705 + g1^2*t^2.852 + 2*t^3. + t^3.148/g1^2 + t^3.295/g1^4 + g1^7*t^3.984 + g1^3*t^4.279 + 2*g1*t^4.426 + t^4.574/g1 + (2*t^4.721)/g1^3 + (3*t^4.869)/g1^5 + g1^12*t^5.115 + g1^10*t^5.262 + 2*g1^8*t^5.41 + g1^6*t^5.557 + 3*g1^4*t^5.705 + 2*g1^2*t^5.852 - t^6. + t^6.148/g1^2 + t^6.295/g1^4 - t^6.443/g1^6 + g1^13*t^6.541 + t^6.59/g1^8 + g1^11*t^6.688 + 2*g1^9*t^6.836 + 3*g1^7*t^6.984 + 3*g1^5*t^7.131 + 4*g1^3*t^7.279 + 4*g1*t^7.426 + (4*t^7.574)/g1 + g1^18*t^7.672 + (3*t^7.721)/g1^3 + g1^16*t^7.82 + (3*t^7.869)/g1^5 + 3*g1^14*t^7.967 + t^8.016/g1^7 + 2*g1^12*t^8.115 + t^8.164/g1^9 + 3*g1^10*t^8.262 + 4*g1^8*t^8.41 + g1^2*t^8.852 - (g1*t^4.426)/y - (g1^7*t^6.984)/y - (g1^5*t^7.131)/y + t^7.721/(g1^3*y) + t^7.869/(g1^5*y) + (g1^10*t^8.262)/y + (g1^8*t^8.41)/y + (3*g1^6*t^8.557)/y + (3*g1^4*t^8.705)/y + (4*g1^2*t^8.852)/y - g1*t^4.426*y - g1^7*t^6.984*y - g1^5*t^7.131*y + (t^7.721*y)/g1^3 + (t^7.869*y)/g1^5 + g1^10*t^8.262*y + g1^8*t^8.41*y + 3*g1^6*t^8.557*y + 3*g1^4*t^8.705*y + 4*g1^2*t^8.852*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 |
---|---|---|---|---|---|---|---|---|
55077 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7132 | 0.878 | 0.8122 | [M:[0.834, 0.8894, 1.0553, 1.0, 1.0, 0.9447], q:[0.583, 0.583], qb:[0.5277, 0.417], phi:[0.4723]] | t^2.502 + t^2.668 + 2*t^2.834 + 2*t^3. + t^3.332 + t^3.919 + t^4.251 + 2*t^4.417 + t^4.583 + 2*t^4.749 + 3*t^4.915 + t^5.004 + t^5.17 + 3*t^5.336 + 2*t^5.502 + 4*t^5.668 + 3*t^5.834 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
55380 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7291 | 0.9105 | 0.8008 | [M:[0.8539, 0.9026, 1.0487, 1.0, 1.0, 0.6704], q:[0.573, 0.573], qb:[0.5243, 0.427], phi:[0.4757]] | t^2.011 + t^2.562 + t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.292 + t^4.022 + t^4.281 + 2*t^4.427 + 2*t^4.573 + 3*t^4.719 + 4*t^4.865 + 2*t^5.011 + t^5.124 + t^5.157 + t^5.27 + t^5.303 + 2*t^5.416 + t^5.562 + 3*t^5.708 + 2*t^5.854 - t^6. - t^4.427/y - t^4.427*y | detail | |
53885 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.704 | 0.8616 | 0.8171 | [M:[0.8714, 0.9143, 1.0429, 1.0, 1.0, 1.0429], q:[0.5643, 0.5643], qb:[0.5214, 0.4357], phi:[0.4786]] | t^2.614 + t^2.743 + 2*t^3. + 2*t^3.129 + t^3.257 + t^4.05 + t^4.307 + 2*t^4.436 + t^4.564 + 2*t^4.693 + 3*t^4.821 + t^5.229 + t^5.357 + t^5.486 + 3*t^5.743 + t^5.871 - 2*t^6. - t^4.436/y - t^4.436*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 |
---|---|---|---|---|---|---|---|---|---|
46530 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[0.8995, 0.7765, 0.877, 1.0, 1.0], q:[0.5503, 0.5503], qb:[0.6733, 0.4497], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |