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 |
---|---|---|---|---|---|---|---|---|---|
48307 | 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_1q_1q_2$ + $ M_4M_6$ | 0.6637 | 0.8211 | 0.8083 | [X:[], M:[1.168, 1.0146, 0.832, 0.7862, 0.7178, 1.2138], q:[0.3931, 0.4389], qb:[0.5922, 0.7749], phi:[0.4502]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -5], [-2, 16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_5M_6$, $ \phi_1^2q_2\tilde{q}_1$ | . | t^2.15 + t^2.5 + t^2.7 + t^3.04 + t^3.09 + t^3.5 + t^3.64 + t^3.71 + t^3.98 + t^4.1 + 2*t^4.31 + t^4.44 + t^4.65 + t^4.85 + t^4.9 + t^4.99 + 2*t^5.2 + t^5.25 + t^5.59 + t^5.66 + t^5.75 + 2*t^5.79 - 2*t^6. + t^6.09 + 2*t^6.14 + t^6.19 + t^6.21 + t^6.25 + t^6.41 + t^6.46 + t^6.48 + t^6.6 + 2*t^6.69 + t^6.73 + 2*t^6.8 - t^6.89 + t^7.01 + t^7.03 + t^7.06 + t^7.08 + 2*t^7.15 + t^7.19 + t^7.35 + 2*t^7.4 + t^7.42 + t^7.49 + t^7.54 + t^7.61 + t^7.63 + t^7.69 + t^7.74 + t^7.81 + t^7.9 + 2*t^7.95 + t^7.97 + t^8. + t^8.02 + 2*t^8.09 - 3*t^8.15 + t^8.24 + 2*t^8.29 + t^8.34 + 2*t^8.41 + t^8.43 + t^8.45 - 2*t^8.5 + t^8.55 + 2*t^8.61 + t^8.63 + t^8.68 - 2*t^8.7 + t^8.79 + 2*t^8.84 + 3*t^8.89 + t^8.98 - t^4.35/y - t^6.5/y - t^7.05/y + t^7.31/y - t^7.39/y + (2*t^7.65)/y + t^7.85/y + (3*t^8.2)/y + t^8.25/y + t^8.54/y + t^8.59/y + t^8.75/y + (2*t^8.79)/y + t^8.86/y - t^4.35*y - t^6.5*y - t^7.05*y + t^7.31*y - t^7.39*y + 2*t^7.65*y + t^7.85*y + 3*t^8.2*y + t^8.25*y + t^8.54*y + t^8.59*y + t^8.75*y + 2*t^8.79*y + t^8.86*y | (g1*t^2.15)/g2^5 + (g2^7*t^2.5)/g1 + t^2.7/g2^4 + (g2^8*t^3.04)/g1^2 + (g2^15*t^3.09)/g1 + (g1*t^3.5)/g2^7 + (g2^16*t^3.64)/g1^2 + (g1^2*t^3.71)/g2^18 + (g2^28*t^3.98)/g1^4 + g1*g2*t^4.1 + (2*g1^2*t^4.31)/g2^10 + (g2^13*t^4.44)/g1 + g2^2*t^4.65 + (g1*t^4.85)/g2^9 + (g1^2*t^4.9)/g2^2 + (g2^14*t^4.99)/g1^2 + (2*g2^3*t^5.2)/g1 + g2^10*t^5.25 + (g2^22*t^5.59)/g1^2 + (g1^2*t^5.66)/g2^12 + (g2^4*t^5.75)/g1^2 + (2*g2^11*t^5.79)/g1 - 2*t^6. + (g2^16*t^6.09)/g1^4 + (2*g2^23*t^6.14)/g1^3 + (g2^30*t^6.19)/g1^2 + (g1*t^6.21)/g2^11 + (g1^2*t^6.25)/g2^4 + (g1^2*t^6.41)/g2^22 + (g1^3*t^6.46)/g2^15 + (g2^35*t^6.48)/g1^5 + g2^8*t^6.6 + (2*g2^24*t^6.69)/g1^4 + (g2^31*t^6.73)/g1^3 + (2*g1*t^6.8)/g2^3 - (g2^13*t^6.89)/g1^3 + (g1^2*t^7.01)/g2^14 + (g2^36*t^7.03)/g1^6 + (g1^3*t^7.06)/g2^7 + (g2^43*t^7.08)/g1^5 + (2*g2^9*t^7.15)/g1 + g2^16*t^7.19 + t^7.35/g2^2 + 2*g1*g2^5*t^7.4 + (g1^4*t^7.42)/g2^36 + (g2^21*t^7.49)/g1^3 + (g2^28*t^7.54)/g1^2 + (g1^2*t^7.61)/g2^6 + (g2^44*t^7.63)/g1^6 + (g2^10*t^7.69)/g1^2 + (g2^17*t^7.74)/g1 + (g1^3*t^7.81)/g2^17 + t^7.9/(g1*g2) + 2*g2^6*t^7.95 + (g2^56*t^7.97)/g1^8 + g1*g2^13*t^8. + (g1^4*t^8.02)/g2^28 + (2*g2^29*t^8.09)/g1^3 - (3*g1*t^8.15)/g2^5 + (g2^11*t^8.24)/g1^3 + (2*g2^18*t^8.29)/g1^2 + (g2^25*t^8.34)/g1 + (2*g1^3*t^8.41)/g2^9 + (g2^41*t^8.43)/g1^5 + t^8.45/g1^2 - (2*g2^7*t^8.5)/g1 + g2^14*t^8.55 + (2*g1^4*t^8.61)/g2^20 + (g2^30*t^8.63)/g1^4 + (g2^37*t^8.68)/g1^3 - (2*t^8.7)/g2^4 + (g2^12*t^8.79)/g1^4 + (2*g2^19*t^8.84)/g1^3 + (3*g2^26*t^8.89)/g1^2 + (g2^42*t^8.98)/g1^6 - t^4.35/(g2^2*y) - (g1*t^6.5)/(g2^7*y) - t^7.05/(g2^6*y) + (g1^2*t^7.31)/(g2^10*y) - (g2^6*t^7.39)/(g1^2*y) + (2*g2^2*t^7.65)/y + (g1*t^7.85)/(g2^9*y) + (3*g2^3*t^8.2)/(g1*y) + (g2^10*t^8.25)/y + (g2^15*t^8.54)/(g1^3*y) + (g2^22*t^8.59)/(g1^2*y) + (g2^4*t^8.75)/(g1^2*y) + (2*g2^11*t^8.79)/(g1*y) + (g1^3*t^8.86)/(g2^23*y) - (t^4.35*y)/g2^2 - (g1*t^6.5*y)/g2^7 - (t^7.05*y)/g2^6 + (g1^2*t^7.31*y)/g2^10 - (g2^6*t^7.39*y)/g1^2 + 2*g2^2*t^7.65*y + (g1*t^7.85*y)/g2^9 + (3*g2^3*t^8.2*y)/g1 + g2^10*t^8.25*y + (g2^15*t^8.54*y)/g1^3 + (g2^22*t^8.59*y)/g1^2 + (g2^4*t^8.75*y)/g1^2 + (2*g2^11*t^8.79*y)/g1 + (g1^3*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
56006 | $M_1q_1q_2$ + $ 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_1q_1q_2$ + $ M_4M_6$ + $ M_7\phi_1q_2^2$ | 0.6845 | 0.8625 | 0.7936 | [X:[], M:[1.1674, 1.0156, 0.8326, 0.785, 0.7173, 1.215, 0.6696], q:[0.3925, 0.4401], qb:[0.5919, 0.7749], phi:[0.4502]] | t^2.01 + t^2.15 + t^2.5 + t^2.7 + t^3.05 + t^3.1 + t^3.5 + t^3.65 + t^3.71 + t^4.02 + t^4.1 + t^4.16 + 2*t^4.3 + t^4.45 + t^4.51 + t^4.65 + t^4.71 + t^4.85 + t^4.9 + t^5. + t^5.06 + t^5.1 + 2*t^5.2 + t^5.25 + t^5.51 + t^5.59 + 2*t^5.65 + t^5.71 + t^5.75 + 2*t^5.8 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
56005 | $M_1q_1q_2$ + $ 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_1q_1q_2$ + $ M_4M_6$ + $ \tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4367 | 0.512 | 0.8529 | [X:[1.5066, 1.3974], M:[1.2053, 0.4934, 0.7947, 0.7119, 0.904, 1.2881], q:[0.3559, 0.4388], qb:[1.1507, 0.8493], phi:[0.3013]] | t^2.38 + t^2.71 + t^3.04 + t^3.54 + t^4.19 + t^4.77 + t^5.1 + 2*t^5.42 + t^5.92 - 2*t^6. - t^3.9/y - t^3.9*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46708 | 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_1q_1q_2$ | 0.6816 | 0.8525 | 0.7995 | [X:[], M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.14 + t^2.3 + t^2.52 + t^2.68 + t^3.07 + t^3.16 + t^3.48 + t^3.64 + t^4.09 + t^4.11 + 2*t^4.27 + t^4.43 + t^4.5 + t^4.59 + t^4.66 + 2*t^4.82 + t^4.91 + t^4.98 + t^5.05 + 2*t^5.21 + t^5.29 + t^5.36 + t^5.45 + t^5.61 + t^5.68 + t^5.75 + t^5.77 + t^5.84 + t^5.93 - 2*t^6. - t^4.34/y - t^4.34*y | detail |