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 |
---|---|---|---|---|---|---|---|---|---|
1056 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.699 | 0.8728 | 0.8008 | [X:[], M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | [X:[], M:[[9], [-4], [9], [-6], [4], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | -2 | t^2.06 + t^2.34 + 2*t^2.62 + 2*t^2.9 + t^3.66 + 2*t^3.94 + 2*t^4.13 + 3*t^4.41 + 3*t^4.69 + t^4.88 + 4*t^4.97 + 5*t^5.25 + 2*t^5.53 + t^5.72 + 3*t^5.81 - 2*t^6. + 2*t^6.19 + 2*t^6.28 + 2*t^6.47 + 5*t^6.56 + 5*t^6.75 + 2*t^6.84 + t^6.94 + 7*t^7.03 + t^7.22 + 5*t^7.31 + t^7.5 + 7*t^7.59 + 11*t^7.87 - 2*t^8.06 + 5*t^8.15 + 2*t^8.26 - 2*t^8.34 + 3*t^8.43 + 3*t^8.54 - 3*t^8.62 + 4*t^8.71 + 5*t^8.82 - 2*t^8.9 - t^4.31/y - t^6.38/y - t^6.66/y - t^6.94/y - (2*t^7.22)/y + (3*t^7.41)/y + (3*t^7.69)/y + (5*t^7.97)/y + (4*t^8.25)/y - t^8.44/y + (4*t^8.53)/y + t^8.81/y - t^4.31*y - t^6.38*y - t^6.66*y - t^6.94*y - 2*t^7.22*y + 3*t^7.41*y + 3*t^7.69*y + 5*t^7.97*y + 4*t^8.25*y - t^8.44*y + 4*t^8.53*y + t^8.81*y | t^2.06/g1^6 + t^2.34/g1 + 2*g1^4*t^2.62 + 2*g1^9*t^2.9 + g1*t^3.66 + 2*g1^6*t^3.94 + (2*t^4.13)/g1^12 + (3*t^4.41)/g1^7 + (3*t^4.69)/g1^2 + t^4.88/g1^20 + 4*g1^3*t^4.97 + 5*g1^8*t^5.25 + 2*g1^13*t^5.53 + t^5.72/g1^5 + 3*g1^18*t^5.81 - 2*t^6. + (2*t^6.19)/g1^18 + 2*g1^5*t^6.28 + (2*t^6.47)/g1^13 + 5*g1^10*t^6.56 + (5*t^6.75)/g1^8 + 2*g1^15*t^6.84 + t^6.94/g1^26 + (7*t^7.03)/g1^3 + t^7.22/g1^21 + 5*g1^2*t^7.31 + t^7.5/g1^16 + 7*g1^7*t^7.59 + 11*g1^12*t^7.87 - (2*t^8.06)/g1^6 + 5*g1^17*t^8.15 + (2*t^8.26)/g1^24 - (2*t^8.34)/g1 + 3*g1^22*t^8.43 + (3*t^8.54)/g1^19 - 3*g1^4*t^8.62 + 4*g1^27*t^8.71 + (5*t^8.82)/g1^14 - 2*g1^9*t^8.9 - (g1^2*t^4.31)/y - t^6.38/(g1^4*y) - (g1*t^6.66)/y - (g1^6*t^6.94)/y - (2*g1^11*t^7.22)/y + (3*t^7.41)/(g1^7*y) + (3*t^7.69)/(g1^2*y) + (5*g1^3*t^7.97)/y + (4*g1^8*t^8.25)/y - t^8.44/(g1^10*y) + (4*g1^13*t^8.53)/y + (g1^18*t^8.81)/y - g1^2*t^4.31*y - (t^6.38*y)/g1^4 - g1*t^6.66*y - g1^6*t^6.94*y - 2*g1^11*t^7.22*y + (3*t^7.41*y)/g1^7 + (3*t^7.69*y)/g1^2 + 5*g1^3*t^7.97*y + 4*g1^8*t^8.25*y - (t^8.44*y)/g1^10 + 4*g1^13*t^8.53*y + g1^18*t^8.81*y |
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 |
---|---|---|---|---|---|---|---|---|
1643 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_1M_7$ + $ M_4X_1$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.1103, 1.0018, 0.6655, 0.8897, 0.7776, 0.9982], q:[0.7776, 0.4448], qb:[0.5534, 0.4448], phi:[0.4448]] | t^2.33 + 2*t^2.67 + t^2.99 + t^3.01 + t^3.67 + t^3.99 + 3*t^4. + 2*t^4.33 + t^4.65 + t^4.67 + 2*t^5. + t^5.33 + 4*t^5.34 + 2*t^5.66 + t^5.99 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
1644 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_4M_7$ | 0.6783 | 0.8327 | 0.8145 | [X:[], M:[0.9648, 1.1268, 0.9648, 0.6901, 0.8732, 0.7817, 1.3099], q:[0.7817, 0.4366], qb:[0.5986, 0.4366], phi:[0.4366]] | t^2.35 + 2*t^2.62 + 2*t^2.89 + t^3.65 + 3*t^3.93 + t^4.14 + 2*t^4.42 + t^4.69 + t^4.9 + 2*t^4.96 + 5*t^5.24 + 2*t^5.51 + 3*t^5.79 - 4*t^6. - t^4.31/y - t^4.31*y | detail | |
1642 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7197 | 0.9131 | 0.7882 | [X:[], M:[0.9705, 1.1242, 0.9705, 0.6863, 0.8758, 0.7811, 0.6863], q:[0.7811, 0.4379], qb:[0.5916, 0.4379], phi:[0.4379]] | 2*t^2.06 + t^2.34 + 2*t^2.63 + 2*t^2.91 + t^3.66 + t^3.94 + 4*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.86 + 6*t^4.97 + 5*t^5.25 + 2*t^5.54 + 2*t^5.72 + 3*t^5.82 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
1641 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | 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. - 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 |
---|---|---|---|---|---|---|---|---|---|
662 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], 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 |