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 |
---|---|---|---|---|---|---|---|---|---|
946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ | 0.6971 | 0.8526 | 0.8176 | [X:[], M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 0.5721], phi:[0.488]] | [X:[], M:[[0], [-4], [0], [-4], [4]], q:[[2], [-2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_3^2$, $ M_2M_5$ | -1 | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.29 + 3*t^4.32 + 2*t^4.46 + 3*t^4.61 + t^4.75 + t^4.9 + t^5.71 + 2*t^5.78 + 2*t^5.86 + 2*t^5.93 - t^6. + t^6.07 + t^6.22 + t^6.29 + t^6.43 + t^6.58 + 4*t^7.18 + 3*t^7.25 + 5*t^7.32 - t^7.39 + 5*t^7.46 + t^7.54 + 5*t^7.61 - 2*t^7.68 + 4*t^7.75 + 4*t^7.9 - t^7.97 + 2*t^8.04 + t^8.18 + t^8.57 + 6*t^8.64 + 6*t^8.78 - 5*t^8.86 + 6*t^8.93 - t^4.46/y - t^7.32/y - t^7.39/y + t^7.54/y + t^7.61/y + t^8.71/y + (2*t^8.78)/y + (4*t^8.86)/y + (2*t^8.93)/y - t^4.46*y - t^7.32*y - t^7.39*y + t^7.54*y + t^7.61*y + t^8.71*y + 2*t^8.78*y + 4*t^8.86*y + 2*t^8.93*y | (2*t^2.86)/g1^4 + t^2.93/g1^2 + 2*t^3. + g1^4*t^3.14 + g1^8*t^3.29 + (3*t^4.32)/g1^5 + (2*t^4.46)/g1 + 3*g1^3*t^4.61 + g1^7*t^4.75 + g1^11*t^4.9 + t^5.71/g1^8 + (2*t^5.78)/g1^6 + (2*t^5.86)/g1^4 + (2*t^5.93)/g1^2 - t^6. + g1^2*t^6.07 + g1^6*t^6.22 + g1^8*t^6.29 + g1^12*t^6.43 + g1^16*t^6.58 + (4*t^7.18)/g1^9 + (3*t^7.25)/g1^7 + (5*t^7.32)/g1^5 - t^7.39/g1^3 + (5*t^7.46)/g1 + g1*t^7.54 + 5*g1^3*t^7.61 - 2*g1^5*t^7.68 + 4*g1^7*t^7.75 + 4*g1^11*t^7.9 - g1^13*t^7.97 + 2*g1^15*t^8.04 + g1^19*t^8.18 + t^8.57/g1^12 + (6*t^8.64)/g1^10 + (6*t^8.78)/g1^6 - (5*t^8.86)/g1^4 + (6*t^8.93)/g1^2 - t^4.46/(g1*y) - t^7.32/(g1^5*y) - t^7.39/(g1^3*y) + (g1*t^7.54)/y + (g1^3*t^7.61)/y + t^8.71/(g1^8*y) + (2*t^8.78)/(g1^6*y) + (4*t^8.86)/(g1^4*y) + (2*t^8.93)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.32*y)/g1^5 - (t^7.39*y)/g1^3 + g1*t^7.54*y + g1^3*t^7.61*y + (t^8.71*y)/g1^8 + (2*t^8.78*y)/g1^6 + (4*t^8.86*y)/g1^4 + (2*t^8.93*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1459 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ | 0.7024 | 0.8618 | 0.815 | [X:[], M:[1.0, 0.9328, 1.0, 0.9328, 1.0672, 0.9328], q:[0.5336, 0.4664], qb:[0.4664, 0.6008], phi:[0.4832]] | 3*t^2.8 + t^2.9 + 2*t^3. + t^3.4 + 3*t^4.25 + 2*t^4.45 + 3*t^4.65 + t^4.85 + t^5.05 + 4*t^5.6 + 3*t^5.7 + 4*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
598 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[1.0, 0.8402, 0.8171, 1.0231, 0.9769], q:[0.5799, 0.4201], qb:[0.603, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |