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 |
|---|---|---|---|---|---|---|---|---|---|
| 54345 | 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$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ | 0.629 | 0.8165 | 0.7704 | [X:[], M:[0.7413, 0.9302, 1.2587, 1.0, 0.7064, 0.7762], q:[0.5, 0.7587], qb:[0.5698, 0.2413], phi:[0.4826]] | [X:[], M:[[1], [8], [-1], [0], [5], [-3]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_5$, $ M_1^2$, $ M_5M_6$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_5$, $ M_1M_2$, $ M_5\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -2 | t^2.12 + t^2.22 + t^2.33 + t^2.43 + t^2.79 + 2*t^2.9 + t^3. + t^3.78 + t^3.99 + t^4.24 + t^4.34 + 3*t^4.45 + 2*t^4.55 + 3*t^4.66 + t^4.76 + 2*t^4.87 + t^4.91 + 2*t^5.01 + 4*t^5.12 + 3*t^5.22 + 3*t^5.33 + t^5.43 + t^5.58 + 2*t^5.69 + 3*t^5.79 + 2*t^5.9 - 2*t^6. + t^6.1 + t^6.31 + t^6.36 + t^6.42 + 3*t^6.57 + 3*t^6.67 + 4*t^6.78 + 4*t^6.88 + 4*t^6.99 + t^7.03 + 3*t^7.09 + 2*t^7.13 + 2*t^7.19 + 4*t^7.24 + 2*t^7.3 + 6*t^7.34 + 5*t^7.45 + 5*t^7.55 + 3*t^7.66 + t^7.7 + 4*t^7.76 + 2*t^7.81 + t^7.87 + 4*t^7.91 + 6*t^8.01 + 2*t^8.12 + 2*t^8.22 - 4*t^8.33 + t^8.37 - 2*t^8.43 + 3*t^8.48 - 2*t^8.54 + 4*t^8.58 + 2*t^8.64 + 6*t^8.69 + t^8.75 + 2*t^8.85 - t^8.9 - t^4.45/y - t^6.57/y - t^6.78/y - t^7.24/y + t^7.45/y + (3*t^7.55)/y + (2*t^7.66)/y + t^7.76/y + t^7.91/y + (3*t^8.01)/y + (5*t^8.12)/y + (4*t^8.22)/y + (4*t^8.33)/y + t^8.43/y + t^8.69/y + (2*t^8.79)/y + (2*t^8.9)/y - t^4.45*y - t^6.57*y - t^6.78*y - t^7.24*y + t^7.45*y + 3*t^7.55*y + 2*t^7.66*y + t^7.76*y + t^7.91*y + 3*t^8.01*y + 5*t^8.12*y + 4*t^8.22*y + 4*t^8.33*y + t^8.43*y + t^8.69*y + 2*t^8.79*y + 2*t^8.9*y | g1^5*t^2.12 + g1*t^2.22 + t^2.33/g1^3 + t^2.43/g1^7 + g1^8*t^2.79 + 2*g1^4*t^2.9 + t^3. + t^3.78/g1 + t^3.99/g1^9 + g1^10*t^4.24 + g1^6*t^4.34 + 3*g1^2*t^4.45 + (2*t^4.55)/g1^2 + (3*t^4.66)/g1^6 + t^4.76/g1^10 + (2*t^4.87)/g1^14 + g1^13*t^4.91 + 2*g1^9*t^5.01 + 4*g1^5*t^5.12 + 3*g1*t^5.22 + (3*t^5.33)/g1^3 + t^5.43/g1^7 + g1^16*t^5.58 + 2*g1^12*t^5.69 + 3*g1^8*t^5.79 + 2*g1^4*t^5.9 - 2*t^6. + t^6.1/g1^4 + t^6.31/g1^12 + g1^15*t^6.36 + t^6.42/g1^16 + 3*g1^7*t^6.57 + 3*g1^3*t^6.67 + (4*t^6.78)/g1 + (4*t^6.88)/g1^5 + (4*t^6.99)/g1^9 + g1^18*t^7.03 + (3*t^7.09)/g1^13 + 2*g1^14*t^7.13 + (2*t^7.19)/g1^17 + 4*g1^10*t^7.24 + (2*t^7.3)/g1^21 + 6*g1^6*t^7.34 + 5*g1^2*t^7.45 + (5*t^7.55)/g1^2 + (3*t^7.66)/g1^6 + g1^21*t^7.7 + (4*t^7.76)/g1^10 + 2*g1^17*t^7.81 + t^7.87/g1^14 + 4*g1^13*t^7.91 + 6*g1^9*t^8.01 + 2*g1^5*t^8.12 + 2*g1*t^8.22 - (4*t^8.33)/g1^3 + g1^24*t^8.37 - (2*t^8.43)/g1^7 + 3*g1^20*t^8.48 - (2*t^8.54)/g1^11 + 4*g1^16*t^8.58 + (2*t^8.64)/g1^15 + 6*g1^12*t^8.69 + t^8.75/g1^19 + (2*t^8.85)/g1^23 - g1^4*t^8.9 - (g1^2*t^4.45)/y - (g1^7*t^6.57)/y - t^6.78/(g1*y) - (g1^10*t^7.24)/y + (g1^2*t^7.45)/y + (3*t^7.55)/(g1^2*y) + (2*t^7.66)/(g1^6*y) + t^7.76/(g1^10*y) + (g1^13*t^7.91)/y + (3*g1^9*t^8.01)/y + (5*g1^5*t^8.12)/y + (4*g1*t^8.22)/y + (4*t^8.33)/(g1^3*y) + t^8.43/(g1^7*y) + (g1^12*t^8.69)/y + (2*g1^8*t^8.79)/y + (2*g1^4*t^8.9)/y - g1^2*t^4.45*y - g1^7*t^6.57*y - (t^6.78*y)/g1 - g1^10*t^7.24*y + g1^2*t^7.45*y + (3*t^7.55*y)/g1^2 + (2*t^7.66*y)/g1^6 + (t^7.76*y)/g1^10 + g1^13*t^7.91*y + 3*g1^9*t^8.01*y + 5*g1^5*t^8.12*y + 4*g1*t^8.22*y + (4*t^8.33*y)/g1^3 + (t^8.43*y)/g1^7 + g1^12*t^8.69*y + 2*g1^8*t^8.79*y + 2*g1^4*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 56582 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_2M_7$ | 0.6246 | 0.8106 | 0.7706 | [X:[], M:[0.7469, 0.9754, 1.2531, 1.0, 0.7346, 0.7592, 1.0246], q:[0.5, 0.7531], qb:[0.5246, 0.2469], phi:[0.4939]] | t^2.2 + t^2.24 + t^2.28 + t^2.31 + 2*t^2.96 + t^3. + t^3.07 + t^3.76 + t^3.83 + t^4.41 + t^4.44 + 3*t^4.48 + 2*t^4.52 + 3*t^4.56 + t^4.59 + 2*t^4.63 + t^5.17 + 3*t^5.2 + 2*t^5.24 + 4*t^5.28 + 2*t^5.31 + t^5.35 + t^5.39 + 2*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56585 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_3M_7$ | 0.6484 | 0.8521 | 0.761 | [X:[], M:[0.741, 0.9279, 1.259, 1.0, 0.7049, 0.777, 0.741], q:[0.5, 0.759], qb:[0.5721, 0.241], phi:[0.482]] | t^2.11 + 2*t^2.22 + t^2.33 + t^2.44 + t^2.78 + 2*t^2.89 + t^3. + t^3.99 + t^4.23 + 2*t^4.34 + 5*t^4.45 + 3*t^4.55 + 4*t^4.66 + t^4.77 + 2*t^4.88 + t^4.9 + 3*t^5.01 + 6*t^5.11 + 4*t^5.22 + 3*t^5.33 + t^5.44 + t^5.57 + 2*t^5.68 + 3*t^5.78 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56583 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6263 | 0.8123 | 0.771 | [X:[], M:[0.7441, 0.953, 1.2559, 1.0, 0.7206, 0.7676, 1.0235], q:[0.5, 0.7559], qb:[0.547, 0.2441], phi:[0.4882]] | t^2.16 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.91 + t^4.32 + t^4.39 + 3*t^4.46 + 2*t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^5.02 + t^5.09 + 3*t^5.16 + 3*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.44 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47208 | 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$ + $ M_4^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6113 | 0.7851 | 0.7787 | [X:[], M:[0.7401, 0.9204, 1.2599, 1.0, 0.7003], q:[0.5, 0.7599], qb:[0.5796, 0.2401], phi:[0.4801]] | t^2.1 + t^2.22 + t^2.46 + t^2.76 + 2*t^2.88 + t^3. + t^3.66 + t^3.78 + t^4.02 + t^4.2 + t^4.32 + 2*t^4.44 + t^4.56 + 2*t^4.68 + t^4.86 + 2*t^4.92 + 2*t^4.98 + 3*t^5.1 + t^5.22 + 2*t^5.34 + t^5.46 + t^5.52 + 2*t^5.64 + 4*t^5.76 + 3*t^5.88 - 2*t^6. - t^4.44/y - t^4.44*y | detail |