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 |
---|---|---|---|---|---|---|---|---|---|
8889 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ \phi_1^4X_2$ + $ M_2M_4$ + $ M_2M_5$ | 1.1367 | 1.2531 | 0.907 | [X:[1.6212, 1.2425], M:[1.1363, 1.0531, 0.8408, 0.9469, 0.9469], q:[0.3788, 0.4849], qb:[], phi:[0.1894]] | [X:[[2], [4]], M:[[-6], [5], [-15], [-5], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_5$, $ M_1$, $ \phi_1^2q_1q_2$, $ X_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_3M_5$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_3$ | . | -2 | t^2.52 + 2*t^2.84 + t^3.41 + 2*t^3.73 + t^3.98 + t^4.3 + t^4.61 + t^4.86 + t^5.04 + 2*t^5.36 + 2*t^5.68 + t^5.93 - 2*t^6. + 3*t^6.25 - t^6.32 + t^6.5 + 3*t^6.57 + 3*t^6.82 - t^6.89 + 4*t^7.14 + t^7.39 + 3*t^7.45 + t^7.57 + 3*t^7.7 + 2*t^7.89 + t^7.95 + t^8.02 + 2*t^8.2 + 3*t^8.27 + t^8.34 + t^8.45 + 2*t^8.59 + 3*t^8.77 - 4*t^8.84 + t^8.91 + t^8.27/y^2 - t^3.57/y - t^4.7/y - t^6.09/y - (2*t^6.41)/y - t^6.98/y - t^7.23/y - t^7.3/y - (2*t^7.55)/y - t^8.11/y + (2*t^8.36)/y - t^8.43/y - t^8.61/y + t^8.68/y - t^8.93/y - t^3.57*y - t^4.7*y - t^6.09*y - 2*t^6.41*y - t^6.98*y - t^7.23*y - t^7.3*y - 2*t^7.55*y - t^8.11*y + 2*t^8.36*y - t^8.43*y - t^8.61*y + t^8.68*y - t^8.93*y + t^8.27*y^2 | t^2.52/g1^15 + (2*t^2.84)/g1^5 + t^3.41/g1^6 + 2*g1^4*t^3.73 + t^3.98/g1^7 + g1^3*t^4.3 + g1^13*t^4.61 + g1^2*t^4.86 + t^5.04/g1^30 + (2*t^5.36)/g1^20 + (2*t^5.68)/g1^10 + t^5.93/g1^21 - 2*t^6. + (3*t^6.25)/g1^11 - g1^10*t^6.32 + t^6.5/g1^22 + (3*t^6.57)/g1 + (3*t^6.82)/g1^12 - g1^9*t^6.89 + (4*t^7.14)/g1^2 + t^7.39/g1^13 + 3*g1^8*t^7.45 + t^7.57/g1^45 + (3*t^7.7)/g1^3 + (2*t^7.89)/g1^35 + t^7.95/g1^14 + g1^7*t^8.02 + (2*t^8.2)/g1^25 + (3*t^8.27)/g1^4 + g1^17*t^8.34 + t^8.45/g1^36 + 2*g1^6*t^8.59 + (3*t^8.77)/g1^26 - (4*t^8.84)/g1^5 + g1^16*t^8.91 + t^8.27/(g1^4*y^2) - t^3.57/(g1*y) - t^4.7/(g1^3*y) - t^6.09/(g1^16*y) - (2*t^6.41)/(g1^6*y) - t^6.98/(g1^7*y) - t^7.23/(g1^18*y) - (g1^3*t^7.3)/y - (2*t^7.55)/(g1^8*y) - t^8.11/(g1^9*y) + (2*t^8.36)/(g1^20*y) - (g1*t^8.43)/y - t^8.61/(g1^31*y) + t^8.68/(g1^10*y) - t^8.93/(g1^21*y) - (t^3.57*y)/g1 - (t^4.7*y)/g1^3 - (t^6.09*y)/g1^16 - (2*t^6.41*y)/g1^6 - (t^6.98*y)/g1^7 - (t^7.23*y)/g1^18 - g1^3*t^7.3*y - (2*t^7.55*y)/g1^8 - (t^8.11*y)/g1^9 + (2*t^8.36*y)/g1^20 - g1*t^8.43*y - (t^8.61*y)/g1^31 + (t^8.68*y)/g1^10 - (t^8.93*y)/g1^21 + (t^8.27*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
9012 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ \phi_1^4X_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6\phi_1^3q_1^2$ | 1.1575 | 1.2943 | 0.8943 | [X:[1.621, 1.2421], M:[1.1369, 1.0526, 0.8422, 0.9474, 0.9474, 0.6736], q:[0.379, 0.4842], qb:[], phi:[0.1895]] | t^2.02 + t^2.53 + 2*t^2.84 + t^3.41 + 2*t^3.73 + t^4.04 + t^4.29 + t^4.55 + t^4.61 + 3*t^4.86 + t^5.05 + 2*t^5.37 + t^5.43 + 2*t^5.68 + 2*t^5.75 + t^5.94 - 2*t^6. - t^3.57/y - t^4.71/y - t^5.59/y - t^3.57*y - t^4.71*y - t^5.59*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 |
---|---|---|---|---|---|---|---|---|---|
8782 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ \phi_1^4X_2$ + $ M_2M_4$ | 1.1321 | 1.2451 | 0.9092 | [X:[1.6181, 1.2362], M:[1.1457, 1.0453, 0.8642, 0.9547], q:[0.3819, 0.4724], qb:[], phi:[0.1909]] | t^2.59 + t^2.86 + t^3.14 + t^3.44 + 2*t^3.71 + t^4.01 + t^4.28 + t^4.55 + t^4.85 + t^5.19 + t^5.46 + t^5.73 - t^6. - t^3.57/y - t^4.72/y - t^3.57*y - t^4.72*y | detail |