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 |
---|---|---|---|---|---|---|---|---|---|
439 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | [M:[[0], [-14], [0], [6]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$ | ${}M_{1}M_{3}$ | -2 | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. + 2*t^6.496 + t^6.521 + 4*t^6.731 + 2*t^6.756 + t^6.782 + 6*t^6.991 + 2*t^7.017 + 4*t^7.252 + 4*t^7.487 + t^7.513 + 2*t^7.774 + 2*t^8.009 + 2*t^8.034 - 2*t^8.244 + 2*t^8.269 + t^8.295 + 4*t^8.479 + 2*t^8.739 - 3*t^8.765 + 9*t^8.974 - t^4.252/y - t^6.496/y - t^6.756/y - t^7.017/y + t^7.487/y + (2*t^7.748)/y + (2*t^8.009)/y + (2*t^8.244)/y + t^8.269/y + (2*t^8.504)/y - t^8.739/y + (2*t^8.765)/y - t^4.252*y - t^6.496*y - t^6.756*y - t^7.017*y + t^7.487*y + 2*t^7.748*y + 2*t^8.009*y + 2*t^8.244*y + t^8.269*y + 2*t^8.504*y - t^8.739*y + 2*t^8.765*y | g1^6*t^2.244 + t^2.504/g1^4 + t^2.765/g1^14 + 2*t^3. + 2*g1^8*t^3.991 + t^4.017/g1^16 + (2*t^4.252)/g1^2 + 4*g1^12*t^4.487 + g1^2*t^4.748 + (2*t^5.009)/g1^8 + 2*g1^6*t^5.244 + t^5.269/g1^18 + (2*t^5.504)/g1^4 + t^5.53/g1^28 - 2*t^6. + 2*g1^4*t^6.496 + t^6.521/g1^20 + 4*g1^18*t^6.731 + (2*t^6.756)/g1^6 + t^6.782/g1^30 + 6*g1^8*t^6.991 + (2*t^7.017)/g1^16 + (4*t^7.252)/g1^2 + 4*g1^12*t^7.487 + t^7.513/g1^12 + (2*t^7.774)/g1^22 + (2*t^8.009)/g1^8 + (2*t^8.034)/g1^32 - 2*g1^6*t^8.244 + (2*t^8.269)/g1^18 + t^8.295/g1^42 + 4*g1^20*t^8.479 + 2*g1^10*t^8.739 - (3*t^8.765)/g1^14 + 9*g1^24*t^8.974 - t^4.252/(g1^2*y) - (g1^4*t^6.496)/y - t^6.756/(g1^6*y) - t^7.017/(g1^16*y) + (g1^12*t^7.487)/y + (2*g1^2*t^7.748)/y + (2*t^8.009)/(g1^8*y) + (2*g1^6*t^8.244)/y + t^8.269/(g1^18*y) + (2*t^8.504)/(g1^4*y) - (g1^10*t^8.739)/y + (2*t^8.765)/(g1^14*y) - (t^4.252*y)/g1^2 - g1^4*t^6.496*y - (t^6.756*y)/g1^6 - (t^7.017*y)/g1^16 + g1^12*t^7.487*y + 2*g1^2*t^7.748*y + (2*t^8.009*y)/g1^8 + 2*g1^6*t^8.244*y + (t^8.269*y)/g1^18 + (2*t^8.504*y)/g1^4 - g1^10*t^8.739*y + (2*t^8.765*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 |
---|---|---|---|---|---|---|---|---|
734 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[1.0, 0.9211, 1.0, 0.7481, 0.6692], q:[0.7913, 0.5394], qb:[0.4606, 0.5394], phi:[0.4173]] | t^2.008 + t^2.244 + t^2.504 + t^2.763 + 2*t^3. + t^3.992 + 2*t^4.015 + 3*t^4.252 + 4*t^4.489 + t^4.511 + t^4.748 + t^4.771 + 4*t^5.008 + 2*t^5.244 + t^5.267 + 2*t^5.504 + t^5.527 - t^6. - t^4.252/y - t^4.252*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
271 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |