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 |
|---|---|---|---|---|---|---|---|---|---|
| 50960 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 0.9701, 1.1244, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.5921, 0.4378], qb:[0.4378, 0.7811], phi:[0.4378]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [0, -4], [1, 3], [-1, -1]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_4M_5$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_6^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2M_7$, $ M_5^2$, $ M_2M_6$, $ M_1M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$ | -3 | t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. + 2*t^6.18 + 2*t^6.28 + 4*t^6.46 + 3*t^6.57 + 9*t^6.75 + 2*t^6.85 + t^6.93 + 12*t^7.03 + 2*t^7.21 + 10*t^7.31 + t^7.49 + 12*t^7.6 - 2*t^7.78 + 13*t^7.88 - 5*t^8.06 + 8*t^8.16 + 2*t^8.24 - 8*t^8.34 + 3*t^8.45 + 4*t^8.52 - 5*t^8.63 + 4*t^8.73 + 9*t^8.81 - 4*t^8.91 + 2*t^8.99 - t^4.31/y - t^6.37/y - (2*t^6.66)/y - t^6.94/y - (2*t^7.22)/y + (4*t^7.4)/y + (4*t^7.69)/y + (8*t^7.97)/y + (6*t^8.25)/y - t^8.43/y + (4*t^8.54)/y - (2*t^8.72)/y + t^8.82/y - t^4.31*y - t^6.37*y - 2*t^6.66*y - t^6.94*y - 2*t^7.22*y + 4*t^7.4*y + 4*t^7.69*y + 8*t^7.97*y + 6*t^8.25*y - t^8.43*y + 4*t^8.54*y - 2*t^8.72*y + t^8.82*y | g2^6*t^2.06 + t^2.34/(g1*g2) + g1*g2^3*t^2.34 + (2*t^2.63)/g2^4 + t^2.91/(g1*g2^11) + (g1*t^2.91)/g2^7 + t^3.94/(g1^2*g2^10) + (g1^2*t^3.94)/g2^2 + 2*g2^12*t^4.12 + (2*g2^5*t^4.4)/g1 + 2*g1*g2^9*t^4.4 + t^4.69/(g1^2*g2^2) + 3*g2^2*t^4.69 + g1^2*g2^6*t^4.69 + g2^20*t^4.87 + (3*t^4.97)/(g1*g2^5) + (3*g1*t^4.97)/g2 + t^5.25/(g1^2*g2^12) + (5*t^5.25)/g2^8 + (g1^2*t^5.25)/g2^4 + t^5.54/(g1*g2^15) + (g1*t^5.54)/g2^11 + t^5.82/(g1^2*g2^22) + t^5.82/g2^18 + (g1^2*t^5.82)/g2^14 - 3*t^6. + 2*g2^18*t^6.18 + t^6.28/(g1^3*g2^11) + g1^3*g2*t^6.28 + (2*g2^11*t^6.46)/g1 + 2*g1*g2^15*t^6.46 + (2*t^6.57)/(g1^2*g2^14) - t^6.57/g2^10 + (2*g1^2*t^6.57)/g2^6 + (2*g2^4*t^6.75)/g1^2 + 5*g2^8*t^6.75 + 2*g1^2*g2^12*t^6.75 + t^6.85/(g1^3*g2^21) + (g1^3*t^6.85)/g2^9 + g2^26*t^6.93 + t^7.03/(g1^3*g2^3) + (5*g2*t^7.03)/g1 + 5*g1*g2^5*t^7.03 + g1^3*g2^9*t^7.03 + (g2^19*t^7.21)/g1 + g1*g2^23*t^7.21 + (2*t^7.31)/(g1^2*g2^6) + (6*t^7.31)/g2^2 + 2*g1^2*g2^2*t^7.31 + g2^16*t^7.49 + t^7.6/(g1^3*g2^13) + (5*t^7.6)/(g1*g2^9) + (5*g1*t^7.6)/g2^5 + (g1^3*t^7.6)/g2 - (g2^9*t^7.78)/g1 - g1*g2^13*t^7.78 + t^7.88/(g1^4*g2^20) + (2*t^7.88)/(g1^2*g2^16) + (7*t^7.88)/g2^12 + (2*g1^2*t^7.88)/g2^8 + (g1^4*t^7.88)/g2^4 - 5*g2^6*t^8.06 + t^8.16/(g1^3*g2^23) + (3*t^8.16)/(g1*g2^19) + (3*g1*t^8.16)/g2^15 + (g1^3*t^8.16)/g2^11 + 2*g2^24*t^8.24 + t^8.34/(g1^3*g2^5) - (5*t^8.34)/(g1*g2) - 5*g1*g2^3*t^8.34 + g1^3*g2^7*t^8.34 + t^8.45/(g1^2*g2^26) + t^8.45/g2^22 + (g1^2*t^8.45)/g2^18 + (2*g2^17*t^8.52)/g1 + 2*g1*g2^21*t^8.52 + t^8.63/(g1^4*g2^12) - (7*t^8.63)/g2^4 + g1^4*g2^4*t^8.63 + t^8.73/(g1^3*g2^33) + t^8.73/(g1*g2^29) + (g1*t^8.73)/g2^25 + (g1^3*t^8.73)/g2^21 + (3*g2^10*t^8.81)/g1^2 + 3*g2^14*t^8.81 + 3*g1^2*g2^18*t^8.81 + (2*t^8.91)/(g1^3*g2^15) - (4*t^8.91)/(g1*g2^11) - (4*g1*t^8.91)/g2^7 + (2*g1^3*t^8.91)/g2^3 + 2*g2^32*t^8.99 - t^4.31/(g2^2*y) - (g2^4*t^6.37)/y - t^6.66/(g1*g2^3*y) - (g1*g2*t^6.66)/y - t^6.94/(g2^6*y) - t^7.22/(g1*g2^13*y) - (g1*t^7.22)/(g2^9*y) + (2*g2^5*t^7.4)/(g1*y) + (2*g1*g2^9*t^7.4)/y + (4*g2^2*t^7.69)/y + (4*t^7.97)/(g1*g2^5*y) + (4*g1*t^7.97)/(g2*y) + t^8.25/(g1^2*g2^12*y) + (4*t^8.25)/(g2^8*y) + (g1^2*t^8.25)/(g2^4*y) - (g2^10*t^8.43)/y + (2*t^8.54)/(g1*g2^15*y) + (2*g1*t^8.54)/(g2^11*y) - (g2^3*t^8.72)/(g1*y) - (g1*g2^7*t^8.72)/y + t^8.82/(g2^18*y) - (t^4.31*y)/g2^2 - g2^4*t^6.37*y - (t^6.66*y)/(g1*g2^3) - g1*g2*t^6.66*y - (t^6.94*y)/g2^6 - (t^7.22*y)/(g1*g2^13) - (g1*t^7.22*y)/g2^9 + (2*g2^5*t^7.4*y)/g1 + 2*g1*g2^9*t^7.4*y + 4*g2^2*t^7.69*y + (4*t^7.97*y)/(g1*g2^5) + (4*g1*t^7.97*y)/g2 + (t^8.25*y)/(g1^2*g2^12) + (4*t^8.25*y)/g2^8 + (g1^2*t^8.25*y)/g2^4 - g2^10*t^8.43*y + (2*t^8.54*y)/(g1*g2^15) + (2*g1*t^8.54*y)/g2^11 - (g2^3*t^8.72*y)/g1 - g1*g2^7*t^8.72*y + (t^8.82*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56254 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.7157 | 0.9032 | 0.7924 | [X:[], M:[0.9775, 1.0, 1.1161, 0.6742, 0.8839, 0.7678, 0.7903], q:[0.5693, 0.4532], qb:[0.4307, 0.779], phi:[0.4419]] | t^2.02 + t^2.3 + t^2.37 + 2*t^2.65 + t^2.93 + t^3. + t^3.91 + 3*t^4.05 + 2*t^4.33 + 2*t^4.39 + t^4.61 + 3*t^4.67 + 2*t^4.74 + 3*t^4.95 + 3*t^5.02 + t^5.24 + 5*t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.86 + t^5.93 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56255 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.7373 | 0.9448 | 0.7803 | [X:[], M:[0.9688, 0.9748, 1.1236, 0.6855, 0.8764, 0.7779, 0.7839, 0.6794], q:[0.59, 0.4412], qb:[0.4351, 0.7809], phi:[0.4382]] | t^2.04 + t^2.06 + t^2.33 + t^2.35 + 2*t^2.63 + t^2.91 + t^2.92 + t^3.93 + t^4.08 + t^4.09 + 2*t^4.11 + t^4.37 + 3*t^4.39 + 2*t^4.41 + 3*t^4.67 + 3*t^4.69 + t^4.7 + t^4.85 + t^4.94 + 4*t^4.96 + 3*t^4.98 + t^5.24 + 5*t^5.26 + t^5.28 + t^5.54 + t^5.55 + t^5.81 + t^5.83 + t^5.85 + t^5.96 - 3*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46999 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9554, 0.9803, 1.1254, 0.6881, 0.8746, 0.7689], q:[0.5948, 0.4498], qb:[0.4248, 0.7813], phi:[0.4373]] | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail |