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 |
|---|---|---|---|---|---|---|---|---|---|
| 50959 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6484 | 0.8534 | 0.7598 | [X:[], M:[0.7205, 0.6812, 1.0, 0.7598, 1.0393, 0.9214], q:[0.7598, 0.5196], qb:[0.5589, 0.2402], phi:[0.4804]] | [X:[], M:[[3], [7], [0], [-1], [-4], [8]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2M_4$, $ M_2q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_1M_6$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_2M_5$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_4$, $ M_1M_5$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_3M_6$, $ \phi_1^2\tilde{q}_2^4$, $ M_5M_6$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_5\phi_1\tilde{q}_2^2$ | -1 | t^2.04 + t^2.16 + 2*t^2.28 + t^2.4 + t^2.76 + t^2.88 + t^3. + t^3.12 + t^3.84 + t^4.09 + t^4.21 + 3*t^4.32 + 3*t^4.44 + 5*t^4.56 + 3*t^4.68 + 2*t^4.79 + t^4.81 + 2*t^4.93 + 3*t^5.04 + 4*t^5.16 + 4*t^5.28 + 3*t^5.4 + t^5.52 + t^5.53 + t^5.65 + 2*t^5.76 + t^5.88 - t^6. + t^6.12 + t^6.13 + t^6.24 + t^6.25 + 3*t^6.37 + 3*t^6.48 + 6*t^6.6 + 6*t^6.72 + 8*t^6.84 + t^6.85 + 6*t^6.96 + 2*t^6.97 + 4*t^7.07 + 4*t^7.09 + 2*t^7.19 + 6*t^7.21 + 8*t^7.32 + 8*t^7.44 + 7*t^7.56 + t^7.57 + 7*t^7.68 + 2*t^7.69 + 3*t^7.79 + 4*t^7.81 + t^7.91 + 4*t^7.93 + 2*t^8.04 + t^8.17 - 4*t^8.28 + 2*t^8.29 - 2*t^8.4 + 4*t^8.41 - t^8.52 + 5*t^8.53 + t^8.63 + 8*t^8.65 + 4*t^8.76 + 6*t^8.88 + t^8.9 - t^4.44/y - t^6.48/y - t^6.6/y - t^6.72/y + (2*t^7.32)/y + (3*t^7.44)/y + (2*t^7.56)/y + (3*t^7.68)/y + t^7.81/y + (2*t^7.93)/y + (4*t^8.04)/y + (6*t^8.16)/y + (5*t^8.28)/y + (4*t^8.4)/y + t^8.52/y - t^8.53/y - t^8.76/y + (2*t^8.88)/y - t^4.44*y - t^6.48*y - t^6.6*y - t^6.72*y + 2*t^7.32*y + 3*t^7.44*y + 2*t^7.56*y + 3*t^7.68*y + t^7.81*y + 2*t^7.93*y + 4*t^8.04*y + 6*t^8.16*y + 5*t^8.28*y + 4*t^8.4*y + t^8.52*y - t^8.53*y - t^8.76*y + 2*t^8.88*y | g1^7*t^2.04 + g1^3*t^2.16 + (2*t^2.28)/g1 + t^2.4/g1^5 + g1^8*t^2.76 + g1^4*t^2.88 + t^3. + t^3.12/g1^4 + t^3.84/g1^3 + g1^14*t^4.09 + g1^10*t^4.21 + 3*g1^6*t^4.32 + 3*g1^2*t^4.44 + (5*t^4.56)/g1^2 + (3*t^4.68)/g1^6 + (2*t^4.79)/g1^10 + g1^15*t^4.81 + 2*g1^11*t^4.93 + 3*g1^7*t^5.04 + 4*g1^3*t^5.16 + (4*t^5.28)/g1 + (3*t^5.4)/g1^5 + t^5.52/g1^9 + g1^16*t^5.53 + g1^12*t^5.65 + 2*g1^8*t^5.76 + g1^4*t^5.88 - t^6. + t^6.12/g1^4 + g1^21*t^6.13 + t^6.24/g1^8 + g1^17*t^6.25 + 3*g1^13*t^6.37 + 3*g1^9*t^6.48 + 6*g1^5*t^6.6 + 6*g1*t^6.72 + (8*t^6.84)/g1^3 + g1^22*t^6.85 + (6*t^6.96)/g1^7 + 2*g1^18*t^6.97 + (4*t^7.07)/g1^11 + 4*g1^14*t^7.09 + (2*t^7.19)/g1^15 + 6*g1^10*t^7.21 + 8*g1^6*t^7.32 + 8*g1^2*t^7.44 + (7*t^7.56)/g1^2 + g1^23*t^7.57 + (7*t^7.68)/g1^6 + 2*g1^19*t^7.69 + (3*t^7.79)/g1^10 + 4*g1^15*t^7.81 + t^7.91/g1^14 + 4*g1^11*t^7.93 + 2*g1^7*t^8.04 + g1^28*t^8.17 - (4*t^8.28)/g1 + 2*g1^24*t^8.29 - (2*t^8.4)/g1^5 + 4*g1^20*t^8.41 - t^8.52/g1^9 + 5*g1^16*t^8.53 + t^8.63/g1^13 + 8*g1^12*t^8.65 + 4*g1^8*t^8.76 + 6*g1^4*t^8.88 + g1^29*t^8.9 - (g1^2*t^4.44)/y - (g1^9*t^6.48)/y - (g1^5*t^6.6)/y - (g1*t^6.72)/y + (2*g1^6*t^7.32)/y + (3*g1^2*t^7.44)/y + (2*t^7.56)/(g1^2*y) + (3*t^7.68)/(g1^6*y) + (g1^15*t^7.81)/y + (2*g1^11*t^7.93)/y + (4*g1^7*t^8.04)/y + (6*g1^3*t^8.16)/y + (5*t^8.28)/(g1*y) + (4*t^8.4)/(g1^5*y) + t^8.52/(g1^9*y) - (g1^16*t^8.53)/y - (g1^8*t^8.76)/y + (2*g1^4*t^8.88)/y - g1^2*t^4.44*y - g1^9*t^6.48*y - g1^5*t^6.6*y - g1*t^6.72*y + 2*g1^6*t^7.32*y + 3*g1^2*t^7.44*y + (2*t^7.56*y)/g1^2 + (3*t^7.68*y)/g1^6 + g1^15*t^7.81*y + 2*g1^11*t^7.93*y + 4*g1^7*t^8.04*y + 6*g1^3*t^8.16*y + (5*t^8.28*y)/g1 + (4*t^8.4*y)/g1^5 + (t^8.52*y)/g1^9 - g1^16*t^8.53*y - g1^8*t^8.76*y + 2*g1^4*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56374 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_7$ | 0.6284 | 0.8159 | 0.7702 | [X:[], M:[0.7229, 0.6867, 1.0, 0.759, 1.0362, 0.9276, 1.2771], q:[0.759, 0.5181], qb:[0.5543, 0.241], phi:[0.4819]] | t^2.06 + 2*t^2.28 + t^2.39 + t^2.78 + t^2.89 + t^3. + t^3.11 + 2*t^3.83 + t^4.12 + 2*t^4.34 + t^4.45 + 4*t^4.55 + 3*t^4.66 + 2*t^4.77 + t^4.84 + t^4.95 + 2*t^5.06 + 3*t^5.17 + 3*t^5.28 + 3*t^5.39 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56383 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6685 | 0.8912 | 0.7501 | [X:[], M:[0.7184, 0.6762, 1.0, 0.7605, 1.0422, 0.9157, 0.7184], q:[0.7605, 0.5211], qb:[0.5632, 0.2395], phi:[0.4789]] | t^2.03 + 2*t^2.16 + 2*t^2.28 + t^2.41 + t^2.75 + t^2.87 + t^3. + t^3.13 + t^4.06 + 2*t^4.18 + 5*t^4.31 + 5*t^4.44 + 6*t^4.56 + 3*t^4.69 + t^4.78 + 2*t^4.82 + 3*t^4.9 + 4*t^5.03 + 5*t^5.16 + 5*t^5.28 + 3*t^5.41 + t^5.49 + t^5.53 + t^5.62 + 2*t^5.75 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46859 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6504 | 0.8579 | 0.7582 | [X:[], M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]] | t^2.04 + t^2.09 + t^2.19 + t^2.34 + t^2.38 + t^2.71 + t^2.85 + t^3. + t^3.15 + t^3.76 + t^4.08 + t^4.13 + t^4.18 + t^4.23 + t^4.28 + 2*t^4.38 + 2*t^4.43 + t^4.47 + t^4.53 + t^4.57 + 2*t^4.67 + 2*t^4.72 + t^4.75 + 2*t^4.77 + t^4.8 + 2*t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + 3*t^5.19 + 2*t^5.24 + 2*t^5.34 + t^5.38 + t^5.41 + t^5.48 + t^5.53 + t^5.56 + 2*t^5.71 + t^5.81 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y | detail |