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 |
---|---|---|---|---|---|---|---|---|---|
8775 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1582 | 1.2935 | 0.8954 | [X:[1.6119], M:[1.1644, 1.0296, 0.9704, 0.7763], q:[0.3881, 0.4474], qb:[], phi:[0.1941]] | [X:[[2]], M:[[-6], [5], [-5], [-4]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^4$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_4^2$, $ M_4\phi_1^4$, $ \phi_1^8$, $ X_1$, $ M_3M_4$, $ M_3\phi_1^4$, $ M_2M_4$, $ M_2\phi_1^4$, $ M_4\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ M_3^2$, $ M_1M_4$, $ M_1\phi_1^4$ | . | -1 | 2*t^2.33 + t^2.91 + t^3.09 + t^3.27 + t^3.49 + t^4.08 + t^4.25 + t^4.43 + 3*t^4.66 + t^4.84 + 2*t^5.24 + 2*t^5.42 + 2*t^5.6 + 2*t^5.82 - t^6. + t^6.18 + t^6.36 + 2*t^6.4 + t^6.53 + 2*t^6.58 + 2*t^6.76 + 5*t^6.99 + 3*t^7.16 + t^7.34 + 2*t^7.52 + 3*t^7.57 + t^7.7 + 3*t^7.75 + 3*t^7.92 + 4*t^8.15 + t^8.33 + 2*t^8.51 + 3*t^8.68 + 3*t^8.73 + 3*t^8.86 - 2*t^8.91 + t^8.33/y^2 - (2*t^8.91)/y^2 - t^3.58/y - t^4.75/y - (2*t^5.91)/y - t^6.49/y - t^6.67/y - t^6.85/y - (3*t^7.08)/y + t^7.25/y - t^7.84/y - t^8.01/y - (2*t^8.24)/y + (3*t^8.42)/y + (2*t^8.6)/y - t^3.58*y - t^4.75*y - 2*t^5.91*y - t^6.49*y - t^6.67*y - t^6.85*y - 3*t^7.08*y + t^7.25*y - t^7.84*y - t^8.01*y - 2*t^8.24*y + 3*t^8.42*y + 2*t^8.6*y + t^8.33*y^2 - 2*t^8.91*y^2 | (2*t^2.33)/g1^4 + t^2.91/g1^5 + g1^5*t^3.09 + g1^15*t^3.27 + t^3.49/g1^6 + t^4.08/g1^7 + g1^3*t^4.25 + g1^13*t^4.43 + (3*t^4.66)/g1^8 + g1^2*t^4.84 + (2*t^5.24)/g1^9 + 2*g1*t^5.42 + 2*g1^11*t^5.6 + (2*t^5.82)/g1^10 - t^6. + g1^10*t^6.18 + g1^20*t^6.36 + (2*t^6.4)/g1^11 + g1^30*t^6.53 + (2*t^6.58)/g1 + 2*g1^9*t^6.76 + (5*t^6.99)/g1^12 + (3*t^7.16)/g1^2 + g1^8*t^7.34 + 2*g1^18*t^7.52 + (3*t^7.57)/g1^13 + g1^28*t^7.7 + (3*t^7.75)/g1^3 + 3*g1^7*t^7.92 + (4*t^8.15)/g1^14 + t^8.33/g1^4 + 2*g1^6*t^8.51 + 3*g1^16*t^8.68 + (3*t^8.73)/g1^15 + 3*g1^26*t^8.86 - (2*t^8.91)/g1^5 + t^8.33/(g1^4*y^2) - (2*t^8.91)/(g1^5*y^2) - t^3.58/(g1*y) - t^4.75/(g1^3*y) - (2*t^5.91)/(g1^5*y) - t^6.49/(g1^6*y) - (g1^4*t^6.67)/y - (g1^14*t^6.85)/y - (3*t^7.08)/(g1^7*y) + (g1^3*t^7.25)/y - (g1^2*t^7.84)/y - (g1^12*t^8.01)/y - (2*t^8.24)/(g1^9*y) + (3*g1*t^8.42)/y + (2*g1^11*t^8.6)/y - (t^3.58*y)/g1 - (t^4.75*y)/g1^3 - (2*t^5.91*y)/g1^5 - (t^6.49*y)/g1^6 - g1^4*t^6.67*y - g1^14*t^6.85*y - (3*t^7.08*y)/g1^7 + g1^3*t^7.25*y - g1^2*t^7.84*y - g1^12*t^8.01*y - (2*t^8.24*y)/g1^9 + 3*g1*t^8.42*y + 2*g1^11*t^8.6*y + (t^8.33*y^2)/g1^4 - (2*t^8.91*y^2)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
8886 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_2M_5$ | 1.1614 | 1.2984 | 0.8945 | [X:[1.6154], M:[1.1537, 1.0386, 0.9614, 0.7691, 0.9614], q:[0.3846, 0.4618], qb:[], phi:[0.1923]] | 2*t^2.31 + 2*t^2.88 + t^3.35 + t^3.46 + t^4.04 + t^4.27 + t^4.5 + 3*t^4.61 + t^4.85 + 4*t^5.19 + 2*t^5.65 + 4*t^5.77 - 2*t^6. - t^3.58/y - t^4.73/y - (2*t^5.88)/y - t^3.58*y - t^4.73*y - 2*t^5.88*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 |
---|---|---|---|---|---|---|---|---|---|
8613 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |