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 |
|---|---|---|---|---|---|---|---|---|---|
| 50983 | 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_4^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6295 | 0.819 | 0.7686 | [X:[], M:[1.2582, 0.9342, 0.7418, 1.0, 0.7747, 0.676], q:[0.5, 0.2418], qb:[0.5658, 0.7582], phi:[0.4835]] | [X:[], M:[[1], [-8], [-1], [0], [3], [-9]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_4$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_3^2$, $ \phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_6\phi_1q_2^2$, $ M_2M_3$, $ M_4M_6$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_2M_4$, $ M_1M_6$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.03 + t^2.23 + t^2.32 + t^2.42 + t^2.8 + 2*t^2.9 + t^3. + t^3.77 + t^3.87 + t^4.06 + t^4.25 + t^4.35 + 3*t^4.45 + t^4.55 + 3*t^4.65 + t^4.75 + t^4.83 + 2*t^4.85 + 2*t^4.93 + t^5.03 + 3*t^5.13 + 3*t^5.23 + 3*t^5.32 + t^5.42 + t^5.61 + 2*t^5.7 + 4*t^5.8 + 2*t^5.9 - 2*t^6. + t^6.08 + t^6.1 + t^6.28 + t^6.3 + t^6.38 + 2*t^6.48 + t^6.58 + 5*t^6.68 + 3*t^6.77 + t^6.86 + 4*t^6.87 + 2*t^6.96 + t^6.97 + t^7.06 + 3*t^7.07 + 3*t^7.15 + 2*t^7.17 + 3*t^7.25 + 2*t^7.27 + 6*t^7.35 + 3*t^7.45 + 4*t^7.55 + t^7.63 + 4*t^7.65 + 2*t^7.73 + 4*t^7.75 + 4*t^7.83 + t^7.85 + 3*t^7.93 - t^7.94 + 2*t^8.03 + t^8.11 + 5*t^8.13 + t^8.23 + t^8.31 - t^8.32 + 2*t^8.41 - 4*t^8.42 + 4*t^8.51 - t^8.52 + 5*t^8.61 + 8*t^8.7 + 2*t^8.72 + t^8.89 - t^8.9 + 2*t^8.98 - t^4.45/y - t^6.48/y - t^6.77/y + t^7.45/y + (2*t^7.55)/y + (2*t^7.65)/y + t^7.75/y + t^7.83/y + (2*t^7.93)/y + (2*t^8.03)/y + (4*t^8.13)/y + (4*t^8.23)/y + (3*t^8.32)/y + (2*t^8.42)/y - t^8.51/y + (2*t^8.7)/y + (2*t^8.8)/y + (3*t^8.9)/y - t^4.45*y - t^6.48*y - t^6.77*y + t^7.45*y + 2*t^7.55*y + 2*t^7.65*y + t^7.75*y + t^7.83*y + 2*t^7.93*y + 2*t^8.03*y + 4*t^8.13*y + 4*t^8.23*y + 3*t^8.32*y + 2*t^8.42*y - t^8.51*y + 2*t^8.7*y + 2*t^8.8*y + 3*t^8.9*y | t^2.03/g1^9 + t^2.23/g1 + g1^3*t^2.32 + g1^7*t^2.42 + t^2.8/g1^8 + (2*t^2.9)/g1^4 + t^3. + g1*t^3.77 + g1^5*t^3.87 + t^4.06/g1^18 + t^4.25/g1^10 + t^4.35/g1^6 + (3*t^4.45)/g1^2 + g1^2*t^4.55 + 3*g1^6*t^4.65 + g1^10*t^4.75 + t^4.83/g1^17 + 2*g1^14*t^4.85 + (2*t^4.93)/g1^13 + t^5.03/g1^9 + (3*t^5.13)/g1^5 + (3*t^5.23)/g1 + 3*g1^3*t^5.32 + g1^7*t^5.42 + t^5.61/g1^16 + (2*t^5.7)/g1^12 + (4*t^5.8)/g1^8 + (2*t^5.9)/g1^4 - 2*t^6. + t^6.08/g1^27 + g1^4*t^6.1 + t^6.28/g1^19 + g1^12*t^6.3 + t^6.38/g1^15 + (2*t^6.48)/g1^11 + t^6.58/g1^7 + (5*t^6.68)/g1^3 + 3*g1*t^6.77 + t^6.86/g1^26 + 4*g1^5*t^6.87 + (2*t^6.96)/g1^22 + g1^9*t^6.97 + t^7.06/g1^18 + 3*g1^13*t^7.07 + (3*t^7.15)/g1^14 + 2*g1^17*t^7.17 + (3*t^7.25)/g1^10 + 2*g1^21*t^7.27 + (6*t^7.35)/g1^6 + (3*t^7.45)/g1^2 + 4*g1^2*t^7.55 + t^7.63/g1^25 + 4*g1^6*t^7.65 + (2*t^7.73)/g1^21 + 4*g1^10*t^7.75 + (4*t^7.83)/g1^17 + g1^14*t^7.85 + (3*t^7.93)/g1^13 - g1^18*t^7.94 + (2*t^8.03)/g1^9 + t^8.11/g1^36 + (5*t^8.13)/g1^5 + t^8.23/g1 + t^8.31/g1^28 - g1^3*t^8.32 + (2*t^8.41)/g1^24 - 4*g1^7*t^8.42 + (4*t^8.51)/g1^20 - g1^11*t^8.52 + (5*t^8.61)/g1^16 + (8*t^8.7)/g1^12 + 2*g1^19*t^8.72 + t^8.89/g1^35 - t^8.9/g1^4 + (2*t^8.98)/g1^31 - t^4.45/(g1^2*y) - t^6.48/(g1^11*y) - (g1*t^6.77)/y + t^7.45/(g1^2*y) + (2*g1^2*t^7.55)/y + (2*g1^6*t^7.65)/y + (g1^10*t^7.75)/y + t^7.83/(g1^17*y) + (2*t^7.93)/(g1^13*y) + (2*t^8.03)/(g1^9*y) + (4*t^8.13)/(g1^5*y) + (4*t^8.23)/(g1*y) + (3*g1^3*t^8.32)/y + (2*g1^7*t^8.42)/y - t^8.51/(g1^20*y) + (2*t^8.7)/(g1^12*y) + (2*t^8.8)/(g1^8*y) + (3*t^8.9)/(g1^4*y) - (t^4.45*y)/g1^2 - (t^6.48*y)/g1^11 - g1*t^6.77*y + (t^7.45*y)/g1^2 + 2*g1^2*t^7.55*y + 2*g1^6*t^7.65*y + g1^10*t^7.75*y + (t^7.83*y)/g1^17 + (2*t^7.93*y)/g1^13 + (2*t^8.03*y)/g1^9 + (4*t^8.13*y)/g1^5 + (4*t^8.23*y)/g1 + 3*g1^3*t^8.32*y + 2*g1^7*t^8.42*y - (t^8.51*y)/g1^20 + (2*t^8.7*y)/g1^12 + (2*t^8.8*y)/g1^8 + (3*t^8.9*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56187 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_1M_7$ | 0.6489 | 0.8546 | 0.7592 | [X:[], M:[1.2585, 0.9323, 0.7415, 1.0, 0.7754, 0.6739, 0.7415], q:[0.5, 0.2415], qb:[0.5677, 0.7585], phi:[0.4831]] | t^2.02 + 2*t^2.22 + t^2.33 + t^2.43 + t^2.8 + 2*t^2.9 + t^3. + t^3.88 + t^4.04 + 2*t^4.25 + t^4.35 + 5*t^4.45 + 2*t^4.55 + 4*t^4.65 + t^4.75 + t^4.82 + 2*t^4.86 + 2*t^4.92 + 2*t^5.02 + 5*t^5.12 + 4*t^5.22 + 3*t^5.33 + t^5.43 + t^5.59 + 2*t^5.7 + 3*t^5.8 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56261 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6251 | 0.8117 | 0.7701 | [X:[], M:[1.2536, 0.971, 0.7464, 1.0, 0.7609, 0.7174, 1.029], q:[0.5, 0.2464], qb:[0.529, 0.7536], phi:[0.4928]] | t^2.15 + t^2.24 + t^2.28 + t^2.33 + 2*t^2.96 + t^3. + t^3.09 + t^3.76 + t^3.8 + t^4.3 + t^4.39 + t^4.43 + 3*t^4.48 + t^4.52 + 3*t^4.57 + t^4.61 + 2*t^4.65 + 2*t^5.11 + 2*t^5.2 + 3*t^5.24 + 3*t^5.28 + 2*t^5.33 + t^5.37 + t^5.41 + 3*t^5.91 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56190 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6499 | 0.858 | 0.7574 | [X:[], M:[1.2589, 0.9291, 0.7411, 1.0, 0.7766, 0.6702, 0.7057], q:[0.5, 0.2411], qb:[0.5709, 0.7589], phi:[0.4823]] | t^2.01 + t^2.12 + t^2.22 + t^2.33 + t^2.44 + t^2.79 + 2*t^2.89 + t^3. + t^3.78 + t^4.02 + t^4.13 + 2*t^4.23 + 2*t^4.34 + 4*t^4.45 + 2*t^4.55 + 3*t^4.66 + t^4.77 + t^4.8 + 2*t^4.87 + 3*t^4.9 + 3*t^5.01 + 4*t^5.12 + 3*t^5.22 + 3*t^5.33 + t^5.44 + t^5.57 + 2*t^5.68 + 4*t^5.79 + 2*t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56183 | $M_1q_1q_2$ + $ 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_4^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6268 | 0.8143 | 0.7698 | [X:[], M:[1.2559, 0.9526, 0.7441, 1.0, 0.7678, 0.6967, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.09 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.84 + t^4.18 + t^4.32 + t^4.39 + 3*t^4.46 + t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^4.95 + t^5.02 + t^5.09 + 3*t^5.16 + 2*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.45 + t^5.72 + t^5.79 + 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47280 | 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_4^2$ | 0.6087 | 0.7781 | 0.7823 | [X:[], M:[1.2578, 0.9373, 0.7422, 1.0, 0.7735], q:[0.5, 0.2422], qb:[0.5627, 0.7578], phi:[0.4843]] | t^2.23 + t^2.32 + t^2.41 + t^2.81 + 2*t^2.91 + t^3. + t^3.77 + t^3.87 + t^3.96 + 2*t^4.45 + t^4.55 + 3*t^4.64 + t^4.74 + 2*t^4.83 + 3*t^5.13 + 3*t^5.23 + 3*t^5.32 + t^5.41 + t^5.62 + 2*t^5.72 + 3*t^5.81 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail |