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 |
---|---|---|---|---|---|---|---|---|---|
654 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.683 | 0.8286 | 0.8243 | [M:[0.923, 1.1649, 1.0, 1.0, 0.6703], q:[0.7912, 0.5385], qb:[0.5385, 0.4615], phi:[0.4176]] | [M:[[14], [-4], [0], [0], [8]], q:[[-1], [-7]], qb:[[-7], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{3}M_{4}$, ${ }M_{5}q_{1}q_{2}$ | -1 | t^2.011 + t^2.769 + 2*t^3. + t^3.495 + t^3.758 + t^3.989 + 2*t^4.022 + 2*t^4.253 + 3*t^4.484 + t^4.78 + 2*t^5.011 + t^5.505 + t^5.538 + t^5.769 - t^6. + 2*t^6.032 - 2*t^6.231 + 2*t^6.264 + 3*t^6.495 + t^6.527 + t^6.758 + 2*t^6.791 + t^6.989 + 4*t^7.022 + 3*t^7.253 + 3*t^7.484 + 2*t^7.516 + t^7.549 + t^7.747 + 2*t^7.78 + t^7.978 + 3*t^8.043 - t^8.242 + 4*t^8.274 + t^8.307 + t^8.473 + 5*t^8.505 + t^8.538 + 2*t^8.736 - 2*t^8.769 + 2*t^8.801 + 5*t^8.968 - t^4.253/y - t^6.264/y - t^7.022/y + t^7.484/y + t^7.78/y + (2*t^8.011)/y + t^8.242/y - t^8.274/y + t^8.505/y + (3*t^8.769)/y - t^4.253*y - t^6.264*y - t^7.022*y + t^7.484*y + t^7.78*y + 2*t^8.011*y + t^8.242*y - t^8.274*y + t^8.505*y + 3*t^8.769*y | g1^8*t^2.011 + g1^14*t^2.769 + 2*t^3. + t^3.495/g1^4 + g1^6*t^3.758 + t^3.989/g1^8 + 2*g1^16*t^4.022 + 2*g1^2*t^4.253 + (3*t^4.484)/g1^12 + g1^22*t^4.78 + 2*g1^8*t^5.011 + g1^4*t^5.505 + g1^28*t^5.538 + g1^14*t^5.769 - t^6. + 2*g1^24*t^6.032 - (2*t^6.231)/g1^14 + 2*g1^10*t^6.264 + (3*t^6.495)/g1^4 + g1^20*t^6.527 + g1^6*t^6.758 + 2*g1^30*t^6.791 + t^6.989/g1^8 + 4*g1^16*t^7.022 + 3*g1^2*t^7.253 + (3*t^7.484)/g1^12 + 2*g1^12*t^7.516 + g1^36*t^7.549 + t^7.747/g1^2 + 2*g1^22*t^7.78 + t^7.978/g1^16 + 3*g1^32*t^8.043 - t^8.242/g1^6 + 4*g1^18*t^8.274 + g1^42*t^8.307 + t^8.473/g1^20 + 5*g1^4*t^8.505 + g1^28*t^8.538 + (2*t^8.736)/g1^10 - 2*g1^14*t^8.769 + 2*g1^38*t^8.801 + (5*t^8.968)/g1^24 - (g1^2*t^4.253)/y - (g1^10*t^6.264)/y - (g1^16*t^7.022)/y + t^7.484/(g1^12*y) + (g1^22*t^7.78)/y + (2*g1^8*t^8.011)/y + t^8.242/(g1^6*y) - (g1^18*t^8.274)/y + (g1^4*t^8.505)/y + (3*g1^14*t^8.769)/y - g1^2*t^4.253*y - g1^10*t^6.264*y - g1^16*t^7.022*y + (t^7.484*y)/g1^12 + g1^22*t^7.78*y + 2*g1^8*t^8.011*y + (t^8.242*y)/g1^6 - g1^18*t^8.274*y + g1^4*t^8.505*y + 3*g1^14*t^8.769*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 |
---|---|---|---|---|---|---|---|---|
1970 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7038 | 0.8701 | 0.8089 | [M:[0.9223, 1.165, 1.0, 1.0, 0.6699, 0.6699], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]] | 2*t^2.01 + t^2.767 + 2*t^3. + t^3.495 + t^3.757 + 4*t^4.019 + 2*t^4.252 + 3*t^4.485 + 2*t^4.777 + 4*t^5.01 + 2*t^5.505 + t^5.534 + 2*t^5.767 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
403 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8344 | 0.8273 | [M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.083 + t^2.649 + t^2.673 + t^3. + t^3.622 + t^3.894 + 2*t^4.165 + t^4.189 + t^4.213 + t^4.244 + t^4.516 + t^4.54 + t^4.732 + t^4.756 + t^4.867 + t^5.083 + t^5.299 + t^5.322 + t^5.346 + t^5.705 - 2*t^6. - t^4.189/y - t^4.189*y | detail |