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 |
---|---|---|---|---|---|---|---|---|---|
57348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6176 | 0.7751 | 0.7968 | [X:[1.3735], M:[1.1245, 0.9585, 0.6265, 0.7925, 1.0415, 1.0415, 0.7095], q:[0.2604, 0.6151], qb:[0.7811, 0.5923], phi:[0.4378]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [4], [-28]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | t^2.129 + t^2.378 + t^2.558 + t^2.627 + 2*t^3.124 + t^3.373 + t^3.94 + t^4.12 + t^4.189 + t^4.257 + t^4.506 + t^4.687 + 2*t^4.755 + t^4.867 + t^4.936 + t^5.004 + t^5.116 + t^5.185 + 3*t^5.253 + 3*t^5.502 + 2*t^5.683 + 2*t^5.751 - 2*t^6. + 2*t^6.249 + t^6.317 + t^6.386 + 2*t^6.498 + t^6.566 + t^6.635 + t^6.679 + t^6.747 + t^6.815 + 2*t^6.884 - t^6.996 + t^7.064 + 2*t^7.133 + 2*t^7.245 + 2*t^7.313 + 3*t^7.382 + t^7.425 + 2*t^7.494 + 4*t^7.631 + t^7.674 + t^7.811 + 5*t^7.88 + t^7.992 + t^8.06 + 3*t^8.241 + t^8.309 + t^8.378 + t^8.446 + t^8.514 - 3*t^8.558 + t^8.763 + 2*t^8.807 + t^8.876 + 2*t^8.944 + t^8.988 - t^4.313/y - t^6.442/y - t^6.691/y + t^7.189/y - t^7.438/y + t^7.506/y + t^7.687/y + t^7.755/y + (2*t^7.936)/y + t^8.004/y + (2*t^8.185)/y + (2*t^8.253)/y + (3*t^8.502)/y - t^8.57/y + (2*t^8.683)/y + (3*t^8.751)/y - t^8.819/y + t^8.932/y - t^4.313*y - t^6.442*y - t^6.691*y + t^7.189*y - t^7.438*y + t^7.506*y + t^7.687*y + t^7.755*y + 2*t^7.936*y + t^8.004*y + 2*t^8.185*y + 2*t^8.253*y + 3*t^8.502*y - t^8.57*y + 2*t^8.683*y + 3*t^8.751*y - t^8.819*y + t^8.932*y | t^2.129/g1^28 + t^2.378/g1^20 + g1^34*t^2.558 + t^2.627/g1^12 + 2*g1^4*t^3.124 + g1^12*t^3.373 + t^3.94/g1^18 + g1^36*t^4.12 + t^4.189/g1^10 + t^4.257/g1^56 + t^4.506/g1^48 + g1^6*t^4.687 + (2*t^4.755)/g1^40 + g1^60*t^4.867 + g1^14*t^4.936 + t^5.004/g1^32 + g1^68*t^5.116 + g1^22*t^5.185 + (3*t^5.253)/g1^24 + (3*t^5.502)/g1^16 + 2*g1^38*t^5.683 + (2*t^5.751)/g1^8 - 2*t^6. + 2*g1^8*t^6.249 + t^6.317/g1^38 + t^6.386/g1^84 + 2*g1^16*t^6.498 + t^6.566/g1^30 + t^6.635/g1^76 + g1^70*t^6.679 + g1^24*t^6.747 + t^6.815/g1^22 + (2*t^6.884)/g1^68 - g1^32*t^6.996 + t^7.064/g1^14 + (2*t^7.133)/g1^60 + 2*g1^40*t^7.245 + (2*t^7.313)/g1^6 + (3*t^7.382)/g1^52 + g1^94*t^7.425 + 2*g1^48*t^7.494 + (4*t^7.631)/g1^44 + g1^102*t^7.674 + g1^10*t^7.811 + (5*t^7.88)/g1^36 + g1^64*t^7.992 + g1^18*t^8.06 + 3*g1^72*t^8.241 + g1^26*t^8.309 + t^8.378/g1^20 + t^8.446/g1^66 + t^8.514/g1^112 - 3*g1^34*t^8.558 + t^8.763/g1^104 + 2*g1^42*t^8.807 + t^8.876/g1^4 + (2*t^8.944)/g1^50 + g1^96*t^8.988 - t^4.313/(g1^6*y) - t^6.442/(g1^34*y) - t^6.691/(g1^26*y) + t^7.189/(g1^10*y) - t^7.438/(g1^2*y) + t^7.506/(g1^48*y) + (g1^6*t^7.687)/y + t^7.755/(g1^40*y) + (2*g1^14*t^7.936)/y + t^8.004/(g1^32*y) + (2*g1^22*t^8.185)/y + (2*t^8.253)/(g1^24*y) + (3*t^8.502)/(g1^16*y) - t^8.57/(g1^62*y) + (2*g1^38*t^8.683)/y + (3*t^8.751)/(g1^8*y) - t^8.819/(g1^54*y) + (g1^46*t^8.932)/y - (t^4.313*y)/g1^6 - (t^6.442*y)/g1^34 - (t^6.691*y)/g1^26 + (t^7.189*y)/g1^10 - (t^7.438*y)/g1^2 + (t^7.506*y)/g1^48 + g1^6*t^7.687*y + (t^7.755*y)/g1^40 + 2*g1^14*t^7.936*y + (t^8.004*y)/g1^32 + 2*g1^22*t^8.185*y + (2*t^8.253*y)/g1^24 + (3*t^8.502*y)/g1^16 - (t^8.57*y)/g1^62 + 2*g1^38*t^8.683*y + (3*t^8.751*y)/g1^8 - (t^8.819*y)/g1^54 + g1^46*t^8.932*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 |
---|---|---|---|---|---|---|---|---|---|
55588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ | 0.5974 | 0.7373 | 0.8102 | [X:[1.3618], M:[1.1206, 0.9598, 0.6382, 0.799, 1.0402, 1.0402], q:[0.2601, 0.6193], qb:[0.7802, 0.5817], phi:[0.4397]] | t^2.397 + t^2.525 + t^2.638 + 2*t^3.121 + t^3.362 + t^3.844 + t^3.957 + t^4.085 + t^4.198 + t^4.794 + t^4.809 + t^4.922 + t^5.035 + t^5.05 + t^5.163 + t^5.276 + 2*t^5.518 + 2*t^5.646 + 2*t^5.759 - 2*t^6. - t^4.319/y - t^4.319*y | detail |