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 |
---|---|---|---|---|---|---|---|---|---|
8472 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1^2$ | 1.1673 | 1.2995 | 0.8983 | [X:[1.6283], M:[1.0, 0.8587], q:[0.4071, 0.4777], qb:[], phi:[0.1859]] | [X:[[4]], M:[[0], [-20]], q:[[1], [11]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^4$, $ M_2$, $ q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_2\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2^2$, $ M_1\phi_1^4$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_1q_1q_2$, $ \phi_1q_1^2q_2^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.23 + t^2.58 + t^2.65 + t^3. + t^3.21 + t^3.77 + t^4.12 + t^4.33 + t^4.46 + t^4.54 + t^4.81 + 2*t^4.88 + t^5.15 + 2*t^5.23 + t^5.31 + t^5.44 + t^5.58 + t^5.65 + t^5.87 + t^6.35 + 2*t^6.42 + 2*t^6.69 + 2*t^6.77 + 2*t^6.98 + t^7.04 + 3*t^7.12 + t^7.19 + t^7.33 + t^7.38 + 2*t^7.46 + 4*t^7.54 + t^7.73 + t^7.75 + 2*t^7.81 + 2*t^7.88 + t^7.96 + 2*t^8.1 + t^8.15 + 3*t^8.23 + t^8.31 + t^8.44 + t^8.52 + 2*t^8.65 - 2*t^8.79 + t^8.87 + 2*t^8.92 + t^8.23/y^2 - t^8.79/y^2 - t^3.56/y - t^4.67/y - t^5.79/y - t^6.13/y - t^6.21/y - t^6.56/y - t^6.77/y - t^6.9/y - t^7.25/y - t^7.33/y - t^7.67/y + t^7.81/y - t^8.02/y + (2*t^8.23)/y - t^8.36/y + t^8.58/y + t^8.65/y - t^8.71/y - t^8.79/y - t^3.56*y - t^4.67*y - t^5.79*y - t^6.13*y - t^6.21*y - t^6.56*y - t^6.77*y - t^6.9*y - t^7.25*y - t^7.33*y - t^7.67*y + t^7.81*y - t^8.02*y + 2*t^8.23*y - t^8.36*y + t^8.58*y + t^8.65*y - t^8.71*y - t^8.79*y + t^8.23*y^2 - t^8.79*y^2 | t^2.23/g1^8 + t^2.58/g1^20 + g1^12*t^2.65 + t^3. + g1^10*t^3.21 + g1^8*t^3.77 + t^4.12/g1^4 + g1^6*t^4.33 + t^4.46/g1^16 + g1^16*t^4.54 + t^4.81/g1^28 + 2*g1^4*t^4.88 + t^5.15/g1^40 + (2*t^5.23)/g1^8 + g1^24*t^5.31 + g1^2*t^5.44 + t^5.58/g1^20 + g1^12*t^5.65 + g1^22*t^5.87 + t^6.35/g1^12 + 2*g1^20*t^6.42 + (2*t^6.69)/g1^24 + 2*g1^8*t^6.77 + 2*g1^18*t^6.98 + t^7.04/g1^36 + (3*t^7.12)/g1^4 + g1^28*t^7.19 + g1^6*t^7.33 + t^7.38/g1^48 + (2*t^7.46)/g1^16 + 4*g1^16*t^7.54 + t^7.73/g1^60 + g1^26*t^7.75 + (2*t^7.81)/g1^28 + 2*g1^4*t^7.88 + g1^36*t^7.96 + 2*g1^14*t^8.1 + t^8.15/g1^40 + (3*t^8.23)/g1^8 + g1^24*t^8.31 + g1^2*t^8.44 + g1^34*t^8.52 + 2*g1^12*t^8.65 - (2*t^8.79)/g1^10 + g1^22*t^8.87 + (2*t^8.92)/g1^32 + t^8.23/(g1^8*y^2) - t^8.79/(g1^10*y^2) - t^3.56/(g1^2*y) - t^4.67/(g1^6*y) - t^5.79/(g1^10*y) - t^6.13/(g1^22*y) - (g1^10*t^6.21)/y - t^6.56/(g1^2*y) - (g1^8*t^6.77)/y - t^6.9/(g1^14*y) - t^7.25/(g1^26*y) - (g1^6*t^7.33)/y - t^7.67/(g1^6*y) + t^7.81/(g1^28*y) - t^8.02/(g1^18*y) + (2*t^8.23)/(g1^8*y) - t^8.36/(g1^30*y) + t^8.58/(g1^20*y) + (g1^12*t^8.65)/y - t^8.71/(g1^42*y) - t^8.79/(g1^10*y) - (t^3.56*y)/g1^2 - (t^4.67*y)/g1^6 - (t^5.79*y)/g1^10 - (t^6.13*y)/g1^22 - g1^10*t^6.21*y - (t^6.56*y)/g1^2 - g1^8*t^6.77*y - (t^6.9*y)/g1^14 - (t^7.25*y)/g1^26 - g1^6*t^7.33*y - (t^7.67*y)/g1^6 + (t^7.81*y)/g1^28 - (t^8.02*y)/g1^18 + (2*t^8.23*y)/g1^8 - (t^8.36*y)/g1^30 + (t^8.58*y)/g1^20 + g1^12*t^8.65*y - (t^8.71*y)/g1^42 - (t^8.79*y)/g1^10 + (t^8.23*y^2)/g1^8 - (t^8.79*y^2)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
8659 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1867 | 1.3348 | 0.889 | [X:[1.6303], M:[1.0, 0.8484, 0.7394], q:[0.4076, 0.4834], qb:[], phi:[0.1848]] | 2*t^2.22 + t^2.55 + t^2.67 + t^3. + t^3.23 + t^4.11 + t^4.34 + 3*t^4.44 + t^4.56 + 2*t^4.76 + 3*t^4.89 + t^5.09 + 3*t^5.22 + t^5.35 + 2*t^5.45 + t^5.55 + t^5.67 + t^5.9 - t^6. - t^3.55/y - t^4.66/y - (2*t^5.77)/y - t^3.55*y - t^4.66*y - 2*t^5.77*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 |
---|---|---|---|---|---|---|---|---|---|
8225 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1761 | 1.3049 | 0.9013 | [X:[1.6466], M:[0.8835, 0.8835], q:[0.4699, 0.4699], qb:[], phi:[0.1767]] | t^2.12 + 2*t^2.65 + t^2.82 + t^3.35 + t^3.88 + t^4.24 + 3*t^4.41 + 2*t^4.77 + 2*t^4.94 + 3*t^5.3 + 3*t^5.47 + t^5.64 - t^6. - t^3.53/y - t^4.59/y - t^5.65/y - t^3.53*y - t^4.59*y - t^5.65*y | detail |