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 |
---|---|---|---|---|---|---|---|---|---|
6375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}M_{9}$ | 0.6675 | 0.8329 | 0.8015 | [X:[1.3333], M:[1.1181, 0.6875, 0.9236, 0.8819, 1.1181, 0.6667, 0.8819, 1.3125, 0.6875], q:[0.5382, 0.3438], qb:[0.5382, 0.7743], phi:[0.4514]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [0], [2], [6], [-6]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{3}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}M_{7}$, ${ }M_{9}q_{1}\tilde{q}_{2}$ | -2 | t^2.063 + 2*t^2.646 + t^2.708 + t^2.771 + t^3.354 + t^3.417 + t^3.937 + 2*t^4. + t^4.125 + 3*t^4.583 + 2*t^4.708 + t^4.771 + t^4.833 + 3*t^5.292 + 2*t^5.354 + 2*t^5.417 + 2*t^5.479 + t^5.542 - 2*t^6. + 4*t^6.063 + 2*t^6.125 + 2*t^6.188 - t^6.583 + 5*t^6.646 + t^6.708 + 3*t^6.771 + 2*t^6.833 + t^6.896 + 4*t^7.229 + t^7.292 + 3*t^7.354 + 4*t^7.417 + 2*t^7.479 + 2*t^7.542 + t^7.604 - 2*t^7.875 + 3*t^7.937 + 5*t^8. - t^8.063 + 5*t^8.125 + 3*t^8.188 + 3*t^8.25 + t^8.313 + t^8.521 + 2*t^8.583 - 8*t^8.646 + 3*t^8.708 + t^8.771 + 4*t^8.833 + 4*t^8.896 + 2*t^8.958 - t^4.354/y - t^6.417/y - t^7.063/y - t^7.125/y + t^7.583/y + t^7.646/y + (2*t^7.708)/y + t^7.771/y + t^7.833/y + (2*t^8.292)/y + (2*t^8.354)/y + (3*t^8.417)/y + t^8.479/y - t^4.354*y - t^6.417*y - t^7.063*y - t^7.125*y + t^7.583*y + t^7.646*y + 2*t^7.708*y + t^7.771*y + t^7.833*y + 2*t^8.292*y + 2*t^8.354*y + 3*t^8.417*y + t^8.479*y | t^2.063/g1^6 + 2*g1^2*t^2.646 + t^2.708/g1^4 + t^2.771/g1^10 + t^3.354/g1^2 + t^3.417/g1^8 + g1^6*t^3.937 + 2*t^4. + t^4.125/g1^12 + 3*g1^8*t^4.583 + (2*t^4.708)/g1^4 + t^4.771/g1^10 + t^4.833/g1^16 + 3*g1^4*t^5.292 + (2*t^5.354)/g1^2 + (2*t^5.417)/g1^8 + (2*t^5.479)/g1^14 + t^5.542/g1^20 - 2*t^6. + (4*t^6.063)/g1^6 + (2*t^6.125)/g1^12 + (2*t^6.188)/g1^18 - g1^8*t^6.583 + 5*g1^2*t^6.646 + t^6.708/g1^4 + (3*t^6.771)/g1^10 + (2*t^6.833)/g1^16 + t^6.896/g1^22 + 4*g1^10*t^7.229 + g1^4*t^7.292 + (3*t^7.354)/g1^2 + (4*t^7.417)/g1^8 + (2*t^7.479)/g1^14 + (2*t^7.542)/g1^20 + t^7.604/g1^26 - 2*g1^12*t^7.875 + 3*g1^6*t^7.937 + 5*t^8. - t^8.063/g1^6 + (5*t^8.125)/g1^12 + (3*t^8.188)/g1^18 + (3*t^8.25)/g1^24 + t^8.313/g1^30 + g1^14*t^8.521 + 2*g1^8*t^8.583 - 8*g1^2*t^8.646 + (3*t^8.708)/g1^4 + t^8.771/g1^10 + (4*t^8.833)/g1^16 + (4*t^8.896)/g1^22 + (2*t^8.958)/g1^28 - t^4.354/(g1^2*y) - t^6.417/(g1^8*y) - t^7.063/(g1^6*y) - t^7.125/(g1^12*y) + (g1^8*t^7.583)/y + (g1^2*t^7.646)/y + (2*t^7.708)/(g1^4*y) + t^7.771/(g1^10*y) + t^7.833/(g1^16*y) + (2*g1^4*t^8.292)/y + (2*t^8.354)/(g1^2*y) + (3*t^8.417)/(g1^8*y) + t^8.479/(g1^14*y) - (t^4.354*y)/g1^2 - (t^6.417*y)/g1^8 - (t^7.063*y)/g1^6 - (t^7.125*y)/g1^12 + g1^8*t^7.583*y + g1^2*t^7.646*y + (2*t^7.708*y)/g1^4 + (t^7.771*y)/g1^10 + (t^7.833*y)/g1^16 + 2*g1^4*t^8.292*y + (2*t^8.354*y)/g1^2 + (3*t^8.417*y)/g1^8 + (t^8.479*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|---|
4760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}X_{1}$ | 0.6468 | 0.7927 | 0.816 | [X:[1.3333], M:[1.1192, 0.6909, 0.9292, 0.8808, 1.1192, 0.6667, 0.8808, 1.3091], q:[0.5354, 0.3454], qb:[0.5354, 0.7737], phi:[0.4525]] | 2*t^2.642 + t^2.715 + t^2.788 + t^3.358 + t^3.43 + 2*t^3.927 + 2*t^4. + 3*t^4.57 + 3*t^5.285 + 2*t^5.358 + t^5.43 + t^5.503 + t^5.575 - 3*t^6. - t^4.358/y - t^4.358*y | detail |