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 |
---|---|---|---|---|---|---|---|---|---|
70 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 1.1207], qb:[0.5173, 0.5173], phi:[0.2414]] | [X:[[0, 4]], M:[[0, -6]], q:[[0, 1], [0, -1]], qb:[[-1, 8], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. + t^6.207 + t^6.517 - 2*t^6.724 + 2*t^6.931 + t^7.448 + 3*t^7.655 - t^8.172 + t^8.689 - t^8.896 - t^8.896/y^2 - t^3.724/y - t^5.896/y + t^7.552/y - t^8.069/y + t^8.276/y - t^3.724*y - t^5.896*y + t^7.552*y - t^8.069*y + t^8.276*y - t^8.896*y^2 | t^2.172/g2^6 + g2^8*t^3.104 + (g1^2*t^3.828)/g2^2 + (g2^14*t^3.828)/g1^2 + t^4.345/g2^12 + g2^4*t^4.552 + g2^2*t^5.276 - 2*t^6. + g2^16*t^6.207 + t^6.517/g2^18 - (g1^2*t^6.724)/g2^10 - (g2^6*t^6.724)/g1^2 + g1^2*g2^6*t^6.931 + (g2^22*t^6.931)/g1^2 + t^7.448/g2^4 + (g1^4*t^7.655)/g2^4 + g2^12*t^7.655 + (g2^28*t^7.655)/g1^4 - t^8.172/g2^6 + t^8.689/g2^24 - t^8.896/g2^8 - t^8.896/(g2^8*y^2) - t^3.724/(g2^2*y) - t^5.896/(g2^8*y) + (g2^4*t^7.552)/y - t^8.069/(g2^14*y) + (g2^2*t^8.276)/y - (t^3.724*y)/g2^2 - (t^5.896*y)/g2^8 + g2^4*t^7.552*y - (t^8.069*y)/g2^14 + g2^2*t^8.276*y - (t^8.896*y^2)/g2^8 |
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 |
---|---|---|---|---|---|---|---|---|
110 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.7159, 0.6962], q:[0.8807, 1.1193], qb:[0.5326, 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
4 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*y | detail | |
75493 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}\phi_{2}q_{1}\tilde{q}_{1}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[1.0, 0.2414], S:[], Sb:[], A:[], Ab:[]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*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 |
---|---|---|---|---|---|---|---|---|---|
45 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.8761, 1.1239], qb:[0.5042, 0.5042], phi:[0.2479]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail |