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 |
---|---|---|---|---|---|---|---|---|---|
46760 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.6522 | 0.7999 | 0.8154 | [X:[], M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_4M_5$, $ M_3M_5$ | . | -2 | t^2.33 + t^2.52 + t^3.06 + t^3.12 + t^3.27 + t^3.48 + t^3.69 + t^3.88 + t^4.03 + t^4.06 + t^4.24 + t^4.43 + t^4.66 + t^4.79 + t^4.85 + t^5.03 + t^5.4 + t^5.58 + t^5.61 + t^5.79 - 2*t^6. + t^6.03 + t^6.13 + t^6.21 + t^6.24 + t^6.34 + 2*t^6.39 + t^6.55 + 2*t^6.58 + 2*t^6.76 + t^6.94 + t^7. + t^7.1 + t^7.12 + t^7.13 + 2*t^7.18 + 2*t^7.31 + t^7.39 + t^7.49 + t^7.52 + t^7.55 + t^7.57 + t^7.73 + t^7.76 + t^7.86 + t^7.91 + 3*t^7.94 - t^7.97 + t^8.07 + t^8.1 + 2*t^8.12 + t^8.28 + t^8.31 - 3*t^8.33 + t^8.36 + t^8.46 + 2*t^8.49 - 3*t^8.52 + t^8.54 + t^8.57 + t^8.64 + t^8.67 - t^8.7 + t^8.73 + t^8.83 + 2*t^8.85 - t^8.88 + 2*t^8.91 - t^8.94 - t^4.36/y - t^6.69/y + t^7.24/y - t^7.48/y + t^7.85/y + t^8.03/y + t^8.4/y + t^8.45/y + t^8.58/y + t^8.61/y + t^8.63/y + t^8.79/y + t^8.82/y - t^4.36*y - t^6.69*y + t^7.24*y - t^7.48*y + t^7.85*y + t^8.03*y + t^8.4*y + t^8.45*y + t^8.58*y + t^8.61*y + t^8.63*y + t^8.79*y + t^8.82*y | (g1^2*t^2.33)/g2^16 + (g2^7*t^2.52)/g1 + (g2^15*t^3.06)/g1 + (g2^8*t^3.12)/g1^2 + g2^4*t^3.27 + (g1*t^3.48)/g2^7 + (g1^2*t^3.69)/g2^18 + (g2^5*t^3.88)/g1 + g1*g2*t^4.03 + (g2^28*t^4.06)/g1^4 + (g1^2*t^4.24)/g2^10 + (g2^13*t^4.43)/g1 + (g1^4*t^4.66)/g2^32 + (g1^2*t^4.79)/g2^2 + (g1*t^4.85)/g2^9 + (g2^14*t^5.03)/g1^2 + (g1*t^5.4)/g2 + (g2^22*t^5.58)/g1^2 + (g1^2*t^5.61)/g2^12 + (g2^11*t^5.79)/g1 - 2*t^6. + (g1^4*t^6.03)/g2^34 + (g2^30*t^6.13)/g1^2 + (g1*t^6.21)/g2^11 + (g2^16*t^6.24)/g1^4 + (g2^19*t^6.34)/g1 + (2*g2^12*t^6.39)/g1^2 + g2^8*t^6.55 + (g1^4*t^6.58)/g2^26 + (g2^35*t^6.58)/g1^5 + (2*g1*t^6.76)/g2^3 + (g2^20*t^6.94)/g1^2 + (g1^6*t^7.)/g2^48 + g2^16*t^7.1 + (g1^4*t^7.12)/g2^18 + (g2^43*t^7.13)/g1^5 + (g1^3*t^7.18)/g2^25 + (g2^36*t^7.18)/g1^6 + 2*g1*g2^5*t^7.31 + (g1^4*t^7.39)/g2^36 + (g2^28*t^7.49)/g1^2 + (g1^2*t^7.52)/g2^6 + (g2^21*t^7.55)/g1^3 + (g1*t^7.57)/g2^13 + (g1^3*t^7.73)/g2^17 + (g2^10*t^7.76)/g1^2 + g1*g2^13*t^7.86 + g2^6*t^7.91 + (2*g1^4*t^7.94)/g2^28 + (g2^33*t^7.94)/g1^5 - t^7.97/(g1*g2) + g1^2*g2^2*t^8.07 + (g2^29*t^8.1)/g1^3 + (g1*t^8.12)/g2^5 + (g2^56*t^8.12)/g1^8 + (g1^3*t^8.28)/g2^9 + (g2^18*t^8.31)/g1^2 - (3*g1^2*t^8.33)/g2^16 + (g1^6*t^8.36)/g2^50 + g2^14*t^8.46 + (g1^4*t^8.49)/g2^20 + (g2^41*t^8.49)/g1^5 - (3*g2^7*t^8.52)/g1 + (g1^3*t^8.54)/g2^27 + t^8.57/g1^2 + (g2^37*t^8.64)/g1^3 + g1*g2^3*t^8.67 - (g2^30*t^8.7)/g1^4 + t^8.73/g2^4 + (g1^3*t^8.83)/g2 + (2*g2^26*t^8.85)/g1^2 - (g1^2*t^8.88)/g2^8 + (g1^6*t^8.91)/g2^42 + (g2^19*t^8.91)/g1^3 - (g1*t^8.94)/g2^15 - t^4.36/(g2^2*y) - (g1^2*t^6.69)/(g2^18*y) + (g1^2*t^7.24)/(g2^10*y) - (g2^6*t^7.48)/(g1^2*y) + (g1*t^7.85)/(g2^9*y) + (g2^14*t^8.03)/(g1^2*y) + (g1*t^8.4)/(g2*y) + t^8.45/(g2^8*y) + (g2^22*t^8.58)/(g1^2*y) + (g1^2*t^8.61)/(g2^12*y) + (g2^15*t^8.63)/(g1^3*y) + (g2^11*t^8.79)/(g1*y) + (g1^3*t^8.82)/(g2^23*y) - (t^4.36*y)/g2^2 - (g1^2*t^6.69*y)/g2^18 + (g1^2*t^7.24*y)/g2^10 - (g2^6*t^7.48*y)/g1^2 + (g1*t^7.85*y)/g2^9 + (g2^14*t^8.03*y)/g1^2 + (g1*t^8.4*y)/g2 + (t^8.45*y)/g2^8 + (g2^22*t^8.58*y)/g1^2 + (g1^2*t^8.61*y)/g2^12 + (g2^15*t^8.63*y)/g1^3 + (g2^11*t^8.79*y)/g1 + (g1^3*t^8.82*y)/g2^23 |
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 |
---|---|---|---|---|---|---|---|---|
46925 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.2559, 0.9526, 0.7441, 1.0, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail | |
47003 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_1^2$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
46832 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
46292 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.6613 | 0.8142 | 0.8122 | [X:[], M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.3 + t^2.52 + t^2.68 + t^3.05 + t^3.17 + t^3.48 + t^3.64 + t^3.86 + t^4.07 + t^4.13 + t^4.29 + t^4.5 + t^4.61 + t^4.82 + t^4.94 + t^4.98 + t^5.03 + t^5.19 + t^5.35 + t^5.47 + t^5.68 + t^5.72 + t^5.84 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*y | detail |