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 |
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8764 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_2M_4$ | 1.1452 | 1.2679 | 0.9033 | [X:[1.615], M:[1.2301, 1.0376, 0.8872, 0.9624], q:[0.385, 0.4602], qb:[], phi:[0.1925]] | [X:[[2]], M:[[4], [5], [-15], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ M_3^2$, $ M_4q_1q_2$, $ M_3M_4$, $ M_2q_1q_2$, $ M_2M_3$, $ M_4^2$ | . | -1 | t^2.54 + t^2.66 + t^2.89 + t^3.11 + 2*t^3.69 + t^4.04 + t^4.27 + t^4.49 + t^4.85 + t^5.07 + t^5.2 + t^5.32 + t^5.42 + t^5.55 + t^5.65 + t^5.77 - t^6. + 2*t^6.23 + t^6.35 + 2*t^6.58 + t^6.7 + 2*t^6.8 + t^6.93 + t^7.03 + 2*t^7.15 + 4*t^7.38 + 2*t^7.61 + 2*t^7.73 + t^7.86 + 2*t^7.96 + t^7.98 + 2*t^8.08 + 2*t^8.18 + t^8.21 + 3*t^8.31 + t^8.44 + t^8.54 - t^8.66 + 3*t^8.76 + t^8.99 + t^8.31/y^2 - t^3.58/y - t^4.73/y - t^6.11/y - t^6.24/y - t^6.46/y - t^6.69/y - (2*t^7.27)/y - t^7.39/y - t^7.62/y - t^7.85/y + t^8.2/y + t^8.55/y - t^8.9/y - t^3.58*y - t^4.73*y - t^6.11*y - t^6.24*y - t^6.46*y - t^6.69*y - 2*t^7.27*y - t^7.39*y - t^7.62*y - t^7.85*y + t^8.2*y + t^8.55*y - t^8.9*y + t^8.31*y^2 | g1^6*t^2.54 + t^2.66/g1^15 + t^2.89/g1^5 + g1^5*t^3.11 + 2*g1^4*t^3.69 + t^4.04/g1^7 + g1^3*t^4.27 + g1^13*t^4.49 + g1^2*t^4.85 + g1^12*t^5.07 + t^5.2/g1^9 + t^5.32/g1^30 + g1*t^5.42 + t^5.55/g1^20 + g1^11*t^5.65 + t^5.77/g1^10 - t^6. + 2*g1^10*t^6.23 + t^6.35/g1^11 + (2*t^6.58)/g1 + t^6.7/g1^22 + 2*g1^9*t^6.8 + t^6.93/g1^12 + g1^19*t^7.03 + (2*t^7.15)/g1^2 + 4*g1^8*t^7.38 + 2*g1^18*t^7.61 + (2*t^7.73)/g1^3 + t^7.86/g1^24 + 2*g1^7*t^7.96 + t^7.98/g1^45 + (2*t^8.08)/g1^14 + 2*g1^17*t^8.18 + t^8.21/g1^35 + (3*t^8.31)/g1^4 + t^8.44/g1^25 + g1^6*t^8.54 - t^8.66/g1^15 + 3*g1^16*t^8.76 + g1^26*t^8.99 + t^8.31/(g1^4*y^2) - t^3.58/(g1*y) - t^4.73/(g1^3*y) - (g1^5*t^6.11)/y - t^6.24/(g1^16*y) - t^6.46/(g1^6*y) - (g1^4*t^6.69)/y - (2*g1^3*t^7.27)/y - t^7.39/(g1^18*y) - t^7.62/(g1^8*y) - (g1^2*t^7.85)/y + t^8.2/(g1^9*y) + t^8.55/(g1^20*y) - t^8.9/(g1^31*y) - (t^3.58*y)/g1 - (t^4.73*y)/g1^3 - g1^5*t^6.11*y - (t^6.24*y)/g1^16 - (t^6.46*y)/g1^6 - g1^4*t^6.69*y - 2*g1^3*t^7.27*y - (t^7.39*y)/g1^18 - (t^7.62*y)/g1^8 - g1^2*t^7.85*y + (t^8.2*y)/g1^9 + (t^8.55*y)/g1^20 - (t^8.9*y)/g1^31 + (t^8.31*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 |
---|---|---|---|---|---|---|---|---|
8877 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_2M_4$ + $ M_2M_5$ | 1.1491 | 1.2741 | 0.9019 | [X:[1.6181], M:[1.2363, 1.0453, 0.864, 0.9547, 0.9547], q:[0.3819, 0.4725], qb:[], phi:[0.1909]] | t^2.56 + t^2.59 + 2*t^2.86 + 2*t^3.71 + t^4.01 + t^4.28 + t^4.55 + t^4.85 + t^5.13 + t^5.16 + t^5.18 + 2*t^5.43 + 2*t^5.46 + 2*t^5.73 - 2*t^6. - t^3.57/y - t^4.72/y - t^3.57*y - t^4.72*y | detail | |
8876 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_2M_4$ + $ M_4M_5$ | 1.1421 | 1.2634 | 0.904 | [X:[1.6119], M:[1.2238, 1.0297, 0.9109, 0.9703, 1.0297], q:[0.3881, 0.4475], qb:[], phi:[0.1941]] | t^2.51 + t^2.73 + 2*t^3.09 + 2*t^3.67 + t^4.08 + t^4.25 + t^4.43 + t^4.84 + t^5.01 + t^5.24 + t^5.47 + 2*t^5.6 + t^5.82 - 2*t^6. - t^3.58/y - t^4.75/y - t^3.58*y - t^4.75*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 |
---|---|---|---|---|---|---|---|---|---|
8589 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ | 1.1668 | 1.2833 | 0.9092 | [X:[1.6546], M:[1.3093, 0.8634, 0.8634, 0.8634], q:[0.482, 0.482], qb:[], phi:[0.1727]] | 3*t^2.59 + t^2.89 + 2*t^3.93 + 3*t^4.45 + t^4.96 + 6*t^5.18 + 3*t^5.48 + t^5.78 - 4*t^6. - t^3.52/y - t^4.55/y - t^3.52*y - t^4.55*y | detail |