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 |
|---|---|---|---|---|---|---|---|---|---|
| 3245 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6298 | 0.8198 | 0.7682 | [X:[], M:[1.0, 1.0409, 0.9182, 0.7193, 0.6784], q:[0.7602, 0.2398], qb:[0.5205, 0.5614], phi:[0.4795]] | [X:[], M:[[0], [4], [-8], [-3], [-7]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_1M_5$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2q_2\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1^2$ | 0 | t^2.04 + t^2.16 + t^2.28 + t^2.4 + t^2.75 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^4.07 + t^4.19 + 2*t^4.32 + 2*t^4.44 + 3*t^4.56 + 2*t^4.68 + t^4.79 + 2*t^4.81 + 2*t^4.91 + 2*t^5.04 + 3*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.63 + 3*t^5.75 + 2*t^5.88 + t^6.11 + t^6.12 + t^6.23 + t^6.25 + 2*t^6.35 + 3*t^6.47 + 4*t^6.6 + 4*t^6.72 + t^6.83 + 4*t^6.84 + 2*t^6.95 + 3*t^6.96 + 3*t^7.07 + 2*t^7.09 + 4*t^7.19 + 2*t^7.21 + 5*t^7.32 + 5*t^7.44 + t^7.54 + 4*t^7.56 + 2*t^7.67 + 4*t^7.68 + 4*t^7.79 + 2*t^7.81 + 4*t^7.91 + t^7.93 + 2*t^8.04 + t^8.14 + t^8.16 + 2*t^8.26 + 3*t^8.39 - t^8.4 + 5*t^8.51 + 7*t^8.63 + t^8.65 + 3*t^8.75 + t^8.86 + 3*t^8.88 + 2*t^8.98 - t^4.44/y - t^6.47/y - t^6.6/y + t^7.32/y + (2*t^7.44)/y + t^7.56/y + (2*t^7.68)/y + t^7.79/y + (2*t^7.91)/y + (3*t^8.04)/y + (4*t^8.16)/y + (4*t^8.28)/y + (3*t^8.4)/y - t^8.51/y + t^8.53/y + t^8.75/y + (4*t^8.88)/y - t^4.44*y - t^6.47*y - t^6.6*y + t^7.32*y + 2*t^7.44*y + t^7.56*y + 2*t^7.68*y + t^7.79*y + 2*t^7.91*y + 3*t^8.04*y + 4*t^8.16*y + 4*t^8.28*y + 3*t^8.4*y - t^8.51*y + t^8.53*y + t^8.75*y + 4*t^8.88*y | t^2.04/g1^7 + t^2.16/g1^3 + g1*t^2.28 + g1^5*t^2.4 + t^2.75/g1^8 + t^2.88/g1^4 + t^3. + g1^4*t^3.12 + t^3.72/g1 + g1^3*t^3.84 + t^4.07/g1^14 + t^4.19/g1^10 + (2*t^4.32)/g1^6 + (2*t^4.44)/g1^2 + 3*g1^2*t^4.56 + 2*g1^6*t^4.68 + t^4.79/g1^15 + 2*g1^10*t^4.81 + (2*t^4.91)/g1^11 + (2*t^5.04)/g1^7 + (3*t^5.16)/g1^3 + 3*g1*t^5.28 + 2*g1^5*t^5.4 + t^5.51/g1^16 + g1^9*t^5.53 + t^5.63/g1^12 + (3*t^5.75)/g1^8 + (2*t^5.88)/g1^4 + t^6.11/g1^21 + g1^4*t^6.12 + t^6.23/g1^17 + g1^8*t^6.25 + (2*t^6.35)/g1^13 + (3*t^6.47)/g1^9 + (4*t^6.6)/g1^5 + (4*t^6.72)/g1 + t^6.83/g1^22 + 4*g1^3*t^6.84 + (2*t^6.95)/g1^18 + 3*g1^7*t^6.96 + (3*t^7.07)/g1^14 + 2*g1^11*t^7.09 + (4*t^7.19)/g1^10 + 2*g1^15*t^7.21 + (5*t^7.32)/g1^6 + (5*t^7.44)/g1^2 + t^7.54/g1^23 + 4*g1^2*t^7.56 + (2*t^7.67)/g1^19 + 4*g1^6*t^7.68 + (4*t^7.79)/g1^15 + 2*g1^10*t^7.81 + (4*t^7.91)/g1^11 + g1^14*t^7.93 + (2*t^8.04)/g1^7 + t^8.14/g1^28 + t^8.16/g1^3 + (2*t^8.26)/g1^24 + (3*t^8.39)/g1^20 - g1^5*t^8.4 + (5*t^8.51)/g1^16 + (7*t^8.63)/g1^12 + g1^13*t^8.65 + (3*t^8.75)/g1^8 + t^8.86/g1^29 + (3*t^8.88)/g1^4 + (2*t^8.98)/g1^25 - t^4.44/(g1^2*y) - t^6.47/(g1^9*y) - t^6.6/(g1^5*y) + t^7.32/(g1^6*y) + (2*t^7.44)/(g1^2*y) + (g1^2*t^7.56)/y + (2*g1^6*t^7.68)/y + t^7.79/(g1^15*y) + (2*t^7.91)/(g1^11*y) + (3*t^8.04)/(g1^7*y) + (4*t^8.16)/(g1^3*y) + (4*g1*t^8.28)/y + (3*g1^5*t^8.4)/y - t^8.51/(g1^16*y) + (g1^9*t^8.53)/y + t^8.75/(g1^8*y) + (4*t^8.88)/(g1^4*y) - (t^4.44*y)/g1^2 - (t^6.47*y)/g1^9 - (t^6.6*y)/g1^5 + (t^7.32*y)/g1^6 + (2*t^7.44*y)/g1^2 + g1^2*t^7.56*y + 2*g1^6*t^7.68*y + (t^7.79*y)/g1^15 + (2*t^7.91*y)/g1^11 + (3*t^8.04*y)/g1^7 + (4*t^8.16*y)/g1^3 + 4*g1*t^8.28*y + 3*g1^5*t^8.4*y - (t^8.51*y)/g1^16 + g1^9*t^8.53*y + (t^8.75*y)/g1^8 + (4*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 3666 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6247 | 0.8113 | 0.77 | [X:[], M:[1.0, 1.0138, 0.9724, 0.7396, 0.7258, 1.0276], q:[0.7535, 0.2465], qb:[0.5069, 0.5207], phi:[0.4931]] | t^2.18 + t^2.22 + t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.08 + t^3.74 + t^3.78 + t^4.35 + t^4.4 + 2*t^4.44 + 2*t^4.48 + 3*t^4.52 + 2*t^4.56 + 2*t^4.6 + t^5.14 + t^5.18 + 2*t^5.22 + 4*t^5.26 + 3*t^5.3 + 2*t^5.34 + t^5.38 + 2*t^5.92 + t^5.96 - t^4.48/y - t^4.48*y | detail | |
| 3667 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6499 | 0.8578 | 0.7576 | [X:[], M:[1.0, 1.0437, 0.9126, 0.7172, 0.6735, 0.7172], q:[0.7609, 0.2391], qb:[0.5219, 0.5656], phi:[0.4781]] | t^2.02 + 2*t^2.15 + t^2.28 + t^2.41 + t^2.74 + t^2.87 + t^3. + t^3.13 + t^3.72 + t^4.04 + 2*t^4.17 + 4*t^4.3 + 3*t^4.43 + 4*t^4.57 + 2*t^4.7 + t^4.76 + 2*t^4.83 + 3*t^4.89 + 3*t^5.02 + 4*t^5.15 + 4*t^5.28 + 2*t^5.41 + t^5.48 + t^5.55 + t^5.61 + 3*t^5.74 + 2*t^5.87 - t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2734 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.609 | 0.779 | 0.7817 | [X:[], M:[1.0, 1.0388, 0.9224, 0.7209], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | t^2.16 + t^2.28 + t^2.4 + t^2.77 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^3.95 + t^4.33 + t^4.44 + 3*t^4.56 + 2*t^4.67 + 2*t^4.79 + t^4.93 + t^5.05 + 2*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.77 + t^5.88 - t^4.44/y - t^4.44*y | detail |