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 |
---|---|---|---|---|---|---|---|---|---|
19 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 0.4135 | 0.4854 | 0.8518 | [X:[1.3853], M:[1.078, 0.922], q:[0.3073], qb:[0.4634], phi:[0.3073]] | [X:[[2]], M:[[3], [-3]], q:[[-1]], qb:[[5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.312 + t^2.766 + t^3.234 + t^3.702 + t^4.156 + t^4.624 + t^5.078 + t^5.546 - t^6. + t^6.014 - t^6.454 + t^6.468 - t^6.922 + 2*t^6.936 + t^7.404 + t^7.858 - t^8.312 + t^8.326 - t^8.766 + t^8.78 - t^3.922/y + t^8.078/y + t^8.546/y - t^3.922*y + t^8.078*y + t^8.546*y | g1^4*t^2.312 + t^2.766/g1^3 + g1^3*t^3.234 + g1^9*t^3.702 + g1^2*t^4.156 + g1^8*t^4.624 + g1*t^5.078 + g1^7*t^5.546 - t^6. + g1^13*t^6.014 - t^6.454/g1^7 + g1^6*t^6.468 - t^6.922/g1 + 2*g1^12*t^6.936 + g1^18*t^7.404 + g1^11*t^7.858 - g1^4*t^8.312 + g1^17*t^8.326 - t^8.766/g1^3 + g1^10*t^8.78 - t^3.922/(g1*y) + (g1*t^8.078)/y + (g1^7*t^8.546)/y - (t^3.922*y)/g1 + g1*t^8.078*y + g1^7*t^8.546*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 |
---|---|---|---|---|---|---|---|---|
29 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 0.4214 | 0.4969 | 0.8481 | [X:[1.3963], M:[1.0944, 0.9056, 0.9056], q:[0.3019], qb:[0.4907], phi:[0.3019]] | t^2.378 + 2*t^2.717 + t^3.85 + t^4.189 + t^4.755 + 2*t^5.094 + 2*t^5.434 - 2*t^6. - t^3.906/y - t^3.906*y | detail | |
28 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.4029 | 0.4654 | 0.8657 | [X:[1.4286], M:[1.1429, 0.8571], q:[0.2857], qb:[0.5714], phi:[0.2857]] | 2*t^2.571 + t^3.429 + 2*t^4.286 + 2*t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 2211/5488, c: 1277/2744, X1: 10/7, M1: 8/7, M2: 6/7, q1: 2/7, qb1: 4/7, phi1: 2/7} |
27 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 0.3472 | 0.394 | 0.881 | [X:[1.5], M:[1.25, 0.75], q:[0.25], qb:[0.75], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + t^4.5 + t^5.25 - t^3.75/y - t^3.75*y | detail | {a: 711/2048, c: 807/2048, X1: 3/2, M1: 5/4, M2: 3/4, q1: 1/4, qb1: 3/4, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
176 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{2}$ | 0.4135 | 0.4854 | 0.8518 | [X:[1.3853], M:[0.922, 1.078], q:[0.8463, 1.1537], qb:[0.3073, 0.4634], phi:[0.3073]] | t^2.312 + t^2.766 + t^3.234 + t^3.702 + t^4.156 + t^4.624 + t^5.078 + t^5.546 - t^6. - t^3.922/y - t^3.922*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
10 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.6962, 0.7159], q:[0.5326], qb:[0.5129], phi:[0.2386]] | t^2.088 + t^2.148 + t^3.137 + t^3.793 + t^4.177 + t^4.236 + t^4.295 + t^4.568 + t^5.225 + t^5.284 + t^5.882 - 2*t^6. - t^3.716/y - t^5.804/y - t^5.863/y - t^3.716*y - t^5.804*y - t^5.863*y | detail |