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 |
---|---|---|---|---|---|---|---|---|---|
47153 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6767 | 0.8464 | 0.7996 | [M:[1.143, 0.9996, 0.857, 0.7144, 0.7144], q:[0.3572, 0.4998], qb:[0.6431, 0.7857], phi:[0.4285]] | [M:[[4], [-14], [-4], [6], [6]], q:[[3], [-7]], qb:[[11], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 2 | 2*t^2.143 + 2*t^2.571 + t^2.999 + 3*t^3.429 + t^4.284 + 5*t^4.287 + 5*t^4.714 + 4*t^5.142 + t^5.144 + t^5.57 + 5*t^5.572 + t^5.998 + 2*t^6. + t^6.428 + 7*t^6.43 + t^6.856 + 11*t^6.858 + t^7.283 + 5*t^7.286 + 2*t^7.288 + 4*t^7.713 + 11*t^7.716 + 3*t^8.141 + 2*t^8.569 - 2*t^8.571 + 12*t^8.573 + t^8.997 - 2*t^8.999 - t^4.286/y - (2*t^6.429)/y - t^6.857/y - t^7.284/y + (2*t^7.287)/y + (5*t^7.714)/y + (5*t^8.142)/y + (2*t^8.57)/y + (3*t^8.572)/y - t^4.286*y - 2*t^6.429*y - t^6.857*y - t^7.284*y + 2*t^7.287*y + 5*t^7.714*y + 5*t^8.142*y + 2*t^8.57*y + 3*t^8.572*y | 2*g1^6*t^2.143 + (2*t^2.571)/g1^4 + t^2.999/g1^14 + 3*g1^4*t^3.429 + t^4.284/g1^16 + 5*g1^12*t^4.287 + 5*g1^2*t^4.714 + (4*t^5.142)/g1^8 + g1^20*t^5.144 + t^5.57/g1^18 + 5*g1^10*t^5.572 + t^5.998/g1^28 + 2*t^6. + t^6.428/g1^10 + 7*g1^18*t^6.43 + t^6.856/g1^20 + 11*g1^8*t^6.858 + t^7.283/g1^30 + (5*t^7.286)/g1^2 + 2*g1^26*t^7.288 + (4*t^7.713)/g1^12 + 11*g1^16*t^7.716 + (3*t^8.141)/g1^22 + (2*t^8.569)/g1^32 - (2*t^8.571)/g1^4 + 12*g1^24*t^8.573 + t^8.997/g1^42 - (2*t^8.999)/g1^14 - t^4.286/(g1^2*y) - (2*g1^4*t^6.429)/y - t^6.857/(g1^6*y) - t^7.284/(g1^16*y) + (2*g1^12*t^7.287)/y + (5*g1^2*t^7.714)/y + (5*t^8.142)/(g1^8*y) + (2*t^8.57)/(g1^18*y) + (3*g1^10*t^8.572)/y - (t^4.286*y)/g1^2 - 2*g1^4*t^6.429*y - (t^6.857*y)/g1^6 - (t^7.284*y)/g1^16 + 2*g1^12*t^7.287*y + 5*g1^2*t^7.714*y + (5*t^8.142*y)/g1^8 + (2*t^8.57*y)/g1^18 + 3*g1^10*t^8.572*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |