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 |
---|---|---|---|---|---|---|---|---|---|
110 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 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]] | [X:[[0, 4]], M:[[0, -6], [2, -14]], 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 |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 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^6.059 + t^6.265 + t^6.273 + t^6.325 + t^6.384 + t^6.443 - t^6.775 + t^6.93 + t^7.314 + t^7.373 + t^7.432 + t^7.587 + t^7.97 - 2*t^8.088 - 2*t^8.148 - t^8.207 + t^8.354 + t^8.362 + t^8.413 + t^8.472 - t^8.48 + t^8.531 + t^8.59 - 2*t^8.804 - 2*t^8.863 - t^8.804/y^2 - t^8.863/y^2 - t^3.716/y - t^5.804/y - t^5.863/y + t^7.236/y + t^7.568/y + t^7.627/y - t^7.893/y - t^7.952/y - t^8.011/y + t^8.225/y + t^8.284/y + t^8.882/y + t^8.941/y - t^3.716*y - t^5.804*y - t^5.863*y + t^7.236*y + t^7.568*y + t^7.627*y - t^7.893*y - t^7.952*y - t^8.011*y + t^8.225*y + t^8.284*y + t^8.882*y + t^8.941*y - t^8.804*y^2 - t^8.863*y^2 | (g1^2*t^2.088)/g2^14 + t^2.148/g2^6 + g2^8*t^3.137 + (g1^2*t^3.793)/g2^2 + (g1^4*t^4.177)/g2^28 + (g1^2*t^4.236)/g2^20 + t^4.295/g2^12 + g2^4*t^4.568 + (g1^2*t^5.225)/g2^6 + g2^2*t^5.284 + (g1^4*t^5.882)/g2^16 - 2*t^6. - (g2^8*t^6.059)/g1^2 + (g1^6*t^6.265)/g2^42 + g2^16*t^6.273 + (g1^4*t^6.325)/g2^34 + (g1^2*t^6.384)/g2^26 + t^6.443/g2^18 - (g2^6*t^6.775)/g1^2 + g1^2*g2^6*t^6.93 + (g1^4*t^7.314)/g2^20 + (g1^2*t^7.373)/g2^12 + t^7.432/g2^4 + (g1^4*t^7.587)/g2^4 + (g1^6*t^7.97)/g2^30 - (2*g1^2*t^8.088)/g2^14 - (2*t^8.148)/g2^6 - (g2^2*t^8.207)/g1^2 + (g1^8*t^8.354)/g2^56 + g1^2*g2^2*t^8.362 + (g1^6*t^8.413)/g2^48 + (g1^4*t^8.472)/g2^40 - (g2^18*t^8.48)/g1^2 + (g1^2*t^8.531)/g2^32 + t^8.59/g2^24 - (2*g1^2*t^8.804)/g2^16 - (2*t^8.863)/g2^8 - (g1^2*t^8.804)/(g2^16*y^2) - t^8.863/(g2^8*y^2) - t^3.716/(g2^2*y) - (g1^2*t^5.804)/(g2^16*y) - t^5.863/(g2^8*y) + (g1^2*t^7.236)/(g2^20*y) + (g2^4*t^7.568)/y + (g2^12*t^7.627)/(g1^2*y) - (g1^4*t^7.893)/(g2^30*y) - (g1^2*t^7.952)/(g2^22*y) - t^8.011/(g2^14*y) + (g1^2*t^8.225)/(g2^6*y) + (g2^2*t^8.284)/y + (g1^4*t^8.882)/(g2^16*y) + (g1^2*t^8.941)/(g2^8*y) - (t^3.716*y)/g2^2 - (g1^2*t^5.804*y)/g2^16 - (t^5.863*y)/g2^8 + (g1^2*t^7.236*y)/g2^20 + g2^4*t^7.568*y + (g2^12*t^7.627*y)/g1^2 - (g1^4*t^7.893*y)/g2^30 - (g1^2*t^7.952*y)/g2^22 - (t^8.011*y)/g2^14 + (g1^2*t^8.225*y)/g2^6 + g2^2*t^8.284*y + (g1^4*t^8.882*y)/g2^16 + (g1^2*t^8.941*y)/g2^8 - (g1^2*t^8.804*y^2)/g2^16 - (t^8.863*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 |
---|---|---|---|---|---|---|---|---|
176 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{2}$ | 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 | |
175 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.4487 | 0.5156 | 0.8702 | [X:[1.4646], M:[0.8031, 1.0], q:[0.8662, 1.1338], qb:[0.3662, 0.5631], phi:[0.2677]] | t^2.409 + t^2.788 + t^3. + t^4.182 + t^4.394 + t^4.818 + t^5.197 + t^5.576 + t^5.788 - t^6. - t^3.803/y - t^3.803*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 |
---|---|---|---|---|---|---|---|---|---|
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 |
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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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 |