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 |
|---|---|---|---|---|---|---|---|---|---|
| 3982 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6757 | 0.8438 | 0.8008 | [X:[1.357], M:[1.0243, 1.0953, 1.1664, 0.9757, 0.643, 0.8336, 0.7626, 0.714], q:[0.7738, 0.3925], qb:[0.5832, 0.4411], phi:[0.4523]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.142 + t^2.288 + t^2.501 + t^2.927 + t^3.073 + t^3.286 + t^3.499 + t^3.645 + t^4.004 + t^4.071 + 2*t^4.284 + 2*t^4.43 + t^4.575 + t^4.643 + t^4.789 + t^4.856 + t^5.002 + t^5.069 + 2*t^5.215 + t^5.361 + t^5.428 + t^5.574 + t^5.641 + 3*t^5.787 + t^5.932 - t^6. + 2*t^6.146 + t^6.213 + t^6.291 + t^6.359 + 2*t^6.426 + t^6.504 + 4*t^6.572 + 3*t^6.718 + t^6.863 + 2*t^6.931 + t^6.998 + 2*t^7.076 + 2*t^7.144 + t^7.211 + 2*t^7.289 + 2*t^7.357 + 3*t^7.503 + 2*t^7.57 + 2*t^7.648 + t^7.716 + t^7.783 + t^7.861 + 3*t^7.929 + t^8.007 + 4*t^8.075 - 2*t^8.142 + t^8.22 + t^8.288 + t^8.355 + 3*t^8.433 + 2*t^8.568 + t^8.579 + 2*t^8.646 + 2*t^8.714 + t^8.792 + 5*t^8.86 - 2*t^8.927 - t^4.357/y - t^6.499/y - t^6.645/y + t^7.43/y + t^7.643/y + t^7.789/y + (2*t^8.069)/y + (3*t^8.215)/y + t^8.361/y + (2*t^8.428)/y + (2*t^8.574)/y + (2*t^8.787)/y - t^4.357*y - t^6.499*y - t^6.645*y + t^7.43*y + t^7.643*y + t^7.789*y + 2*t^8.069*y + 3*t^8.215*y + t^8.361*y + 2*t^8.428*y + 2*t^8.574*y + 2*t^8.787*y | g1^12*t^2.142 + t^2.288/g1^32 + t^2.501/g1^14 + g1^22*t^2.927 + t^3.073/g1^22 + t^3.286/g1^4 + g1^14*t^3.499 + t^3.645/g1^30 + t^4.004/g1^56 + g1^6*t^4.071 + 2*g1^24*t^4.284 + (2*t^4.43)/g1^20 + t^4.575/g1^64 + t^4.643/g1^2 + t^4.789/g1^46 + g1^16*t^4.856 + t^5.002/g1^28 + g1^34*t^5.069 + (2*t^5.215)/g1^10 + t^5.361/g1^54 + g1^8*t^5.428 + t^5.574/g1^36 + g1^26*t^5.641 + (3*t^5.787)/g1^18 + t^5.932/g1^62 - t^6. + (2*t^6.146)/g1^44 + g1^18*t^6.213 + t^6.291/g1^88 + t^6.359/g1^26 + 2*g1^36*t^6.426 + t^6.504/g1^70 + (4*t^6.572)/g1^8 + (3*t^6.718)/g1^52 + t^6.863/g1^96 + (2*t^6.931)/g1^34 + g1^28*t^6.998 + (2*t^7.076)/g1^78 + (2*t^7.144)/g1^16 + g1^46*t^7.211 + (2*t^7.289)/g1^60 + 2*g1^2*t^7.357 + (3*t^7.503)/g1^42 + 2*g1^20*t^7.57 + (2*t^7.648)/g1^86 + t^7.716/g1^24 + g1^38*t^7.783 + t^7.861/g1^68 + (3*t^7.929)/g1^6 + t^8.007/g1^112 + (4*t^8.075)/g1^50 - 2*g1^12*t^8.142 + t^8.22/g1^94 + t^8.288/g1^32 + g1^30*t^8.355 + (3*t^8.433)/g1^76 + 2*g1^48*t^8.568 + t^8.579/g1^120 + (2*t^8.646)/g1^58 + 2*g1^4*t^8.714 + t^8.792/g1^102 + (5*t^8.86)/g1^40 - 2*g1^22*t^8.927 - (g1^2*t^4.357)/y - (g1^14*t^6.499)/y - t^6.645/(g1^30*y) + t^7.43/(g1^20*y) + t^7.643/(g1^2*y) + t^7.789/(g1^46*y) + (2*g1^34*t^8.069)/y + (3*t^8.215)/(g1^10*y) + t^8.361/(g1^54*y) + (2*g1^8*t^8.428)/y + (2*t^8.574)/(g1^36*y) + (2*t^8.787)/(g1^18*y) - g1^2*t^4.357*y - g1^14*t^6.499*y - (t^6.645*y)/g1^30 + (t^7.43*y)/g1^20 + (t^7.643*y)/g1^2 + (t^7.789*y)/g1^46 + 2*g1^34*t^8.069*y + (3*t^8.215*y)/g1^10 + (t^8.361*y)/g1^54 + 2*g1^8*t^8.428*y + (2*t^8.574*y)/g1^36 + (2*t^8.787*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5530 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{9}$ | 0.6844 | 0.8582 | 0.7975 | [X:[1.3562], M:[1.0272, 1.0959, 1.1645, 0.9728, 0.6438, 0.8355, 0.7668, 0.7124, 0.9041], q:[0.774, 0.3906], qb:[0.5823, 0.4449], phi:[0.4521]] | t^2.137 + t^2.3 + t^2.506 + t^2.712 + t^2.918 + t^3.082 + t^3.494 + t^3.657 + t^4.026 + t^4.069 + 2*t^4.275 + 2*t^4.438 + t^4.601 + t^4.644 + t^4.807 + 2*t^4.85 + 2*t^5.013 + t^5.056 + 3*t^5.219 + t^5.382 + t^5.425 + 2*t^5.631 + 3*t^5.794 + t^5.957 - t^6. - t^4.356/y - t^4.356*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.277 + t^2.496 + t^2.935 + t^3.065 + t^3.285 + t^3.504 + t^3.634 + t^3.854 + t^3.984 + t^4.073 + t^4.293 + t^4.423 + t^4.553 + t^4.772 + t^4.862 + t^4.992 + t^5.211 + t^5.342 + t^5.561 + 2*t^5.781 + t^5.911 - t^6. - t^4.358/y - t^4.358*y | detail |