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 |
---|---|---|---|---|---|---|---|---|---|
575 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.711 | 0.8727 | 0.8148 | [M:[1.0, 0.8853, 0.8279, 1.0574], q:[0.5574, 0.4426], qb:[0.6147, 0.5], phi:[0.4713]] | [M:[[0], [-4], [-6], [2]], q:[[2], [-2]], qb:[[4], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0 | t^2.484 + t^2.656 + t^2.828 + t^3. + 3*t^3.172 + t^4.07 + t^4.242 + 2*t^4.414 + 2*t^4.586 + 2*t^4.758 + t^4.93 + t^4.968 + t^5.102 + t^5.14 + 2*t^5.312 + t^5.484 + 3*t^5.656 + t^5.828 + 3*t^6.344 - t^6.516 + t^6.554 + 2*t^6.726 + 3*t^6.898 + 4*t^7.07 + 5*t^7.242 + 4*t^7.414 + t^7.452 + 4*t^7.586 + t^7.624 + 3*t^7.758 + 2*t^7.796 + 2*t^7.93 + 2*t^7.968 + t^8.102 + 4*t^8.14 + t^8.274 + 2*t^8.312 + 2*t^8.484 - t^8.656 + t^8.828 - t^4.414/y - t^6.898/y - t^7.07/y + t^7.758/y + t^7.93/y + t^8.14/y + t^8.312/y + (2*t^8.484)/y + (4*t^8.656)/y + (4*t^8.828)/y - t^4.414*y - t^6.898*y - t^7.07*y + t^7.758*y + t^7.93*y + t^8.14*y + t^8.312*y + 2*t^8.484*y + 4*t^8.656*y + 4*t^8.828*y | t^2.484/g1^6 + t^2.656/g1^4 + t^2.828/g1^2 + t^3. + 3*g1^2*t^3.172 + t^4.07/g1^5 + t^4.242/g1^3 + (2*t^4.414)/g1 + 2*g1*t^4.586 + 2*g1^3*t^4.758 + g1^5*t^4.93 + t^4.968/g1^12 + g1^7*t^5.102 + t^5.14/g1^10 + (2*t^5.312)/g1^8 + t^5.484/g1^6 + (3*t^5.656)/g1^4 + t^5.828/g1^2 + 3*g1^4*t^6.344 - g1^6*t^6.516 + t^6.554/g1^11 + (2*t^6.726)/g1^9 + (3*t^6.898)/g1^7 + (4*t^7.07)/g1^5 + (5*t^7.242)/g1^3 + (4*t^7.414)/g1 + t^7.452/g1^18 + 4*g1*t^7.586 + t^7.624/g1^16 + 3*g1^3*t^7.758 + (2*t^7.796)/g1^14 + 2*g1^5*t^7.93 + (2*t^7.968)/g1^12 + g1^7*t^8.102 + (4*t^8.14)/g1^10 + g1^9*t^8.274 + (2*t^8.312)/g1^8 + (2*t^8.484)/g1^6 - t^8.656/g1^4 + t^8.828/g1^2 - t^4.414/(g1*y) - t^6.898/(g1^7*y) - t^7.07/(g1^5*y) + (g1^3*t^7.758)/y + (g1^5*t^7.93)/y + t^8.14/(g1^10*y) + t^8.312/(g1^8*y) + (2*t^8.484)/(g1^6*y) + (4*t^8.656)/(g1^4*y) + (4*t^8.828)/(g1^2*y) - (t^4.414*y)/g1 - (t^6.898*y)/g1^7 - (t^7.07*y)/g1^5 + g1^3*t^7.758*y + g1^5*t^7.93*y + (t^8.14*y)/g1^10 + (t^8.312*y)/g1^8 + (2*t^8.484*y)/g1^6 + (4*t^8.656*y)/g1^4 + (4*t^8.828*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7061 | 0.8639 | 0.8173 | [M:[1.0, 0.9001, 0.8501, 1.05, 1.05], q:[0.55, 0.45], qb:[0.5999, 0.5], phi:[0.475]] | t^2.55 + t^2.7 + t^3. + 4*t^3.15 + t^4.125 + t^4.275 + 2*t^4.425 + 2*t^4.575 + 2*t^4.725 + t^4.875 + t^5.025 + t^5.1 + t^5.25 + t^5.4 + 3*t^5.7 + t^5.85 - 3*t^6. - t^4.425/y - t^4.425*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 |
---|---|---|---|---|---|---|---|---|---|
364 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7111 | 0.8727 | 0.8148 | [M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.482 + t^2.655 + t^2.827 + t^3. + t^3.152 + t^3.173 + t^3.194 + t^4.089 + t^4.241 + t^4.393 + t^4.414 + t^4.565 + t^4.607 + t^4.738 + t^4.759 + t^4.932 + t^4.964 + t^5.126 + t^5.136 + 2*t^5.309 + t^5.482 + 3*t^5.655 + t^5.827 + t^5.979 - 2*t^6. - t^4.414/y - t^4.414*y | detail |