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 |
|---|---|---|---|---|---|---|---|---|---|
| 2899 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.655 | 0.8217 | 0.7971 | [X:[], M:[0.8212, 1.231, 0.7168, 0.8466, 0.6914, 1.1534, 0.7944], q:[0.7429, 0.436], qb:[0.4106, 0.8726], phi:[0.3845]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3], [-9, 1]], q:[[-1, -3], [-7, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_7$, $ M_1$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_5M_7$, $ M_3M_7$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_7^2$, $ M_1M_7$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_6M_7$, $ M_5\phi_1q_2^2$, $ M_3\phi_1q_2^2$ | . | -2 | t^2.07 + t^2.15 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + 2*t^3.69 + t^3.77 + t^4.15 + t^4.22 + t^4.3 + t^4.46 + t^4.53 + t^4.54 + 2*t^4.61 + t^4.69 + t^4.77 + 2*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.53 + t^5.61 + t^5.77 + 3*t^5.84 + t^5.92 - 2*t^6. + t^6.08 + t^6.15 + t^6.16 + t^6.22 + 2*t^6.23 + t^6.3 + t^6.31 + t^6.37 + t^6.45 + t^6.53 + 2*t^6.61 + t^6.68 + 2*t^6.69 + 2*t^6.76 + 2*t^6.84 + 3*t^6.92 + 3*t^7. + t^7.07 + t^7.08 + 2*t^7.15 + 2*t^7.23 + t^7.31 + 2*t^7.39 + 2*t^7.46 + t^7.47 + t^7.54 + t^7.61 + t^7.68 + t^7.76 + t^7.84 + 2*t^7.92 + 3*t^7.99 - t^8.07 - 2*t^8.15 + 2*t^8.23 + 2*t^8.3 + 2*t^8.31 + t^8.37 - t^8.38 + t^8.45 - 2*t^8.46 + t^8.53 - t^8.54 + t^8.6 + t^8.61 + 2*t^8.62 + t^8.68 + 2*t^8.69 + 3*t^8.76 + t^8.77 + t^8.83 + 2*t^8.84 + t^8.85 + 3*t^8.91 + 4*t^8.99 - t^4.15/y - t^6.23/y - t^6.3/y - t^6.54/y - t^6.62/y + t^7.22/y + t^7.46/y + t^7.53/y + t^7.54/y + (2*t^7.61)/y + (2*t^7.69)/y + t^7.77/y + t^7.85/y + t^7.92/y + (2*t^8.)/y + t^8.08/y - t^8.3/y - t^8.38/y - t^8.45/y + t^8.53/y - (2*t^8.69)/y + t^8.77/y + (4*t^8.84)/y + t^8.92/y - t^4.15*y - t^6.23*y - t^6.3*y - t^6.54*y - t^6.62*y + t^7.22*y + t^7.46*y + t^7.53*y + t^7.54*y + 2*t^7.61*y + 2*t^7.69*y + t^7.77*y + t^7.85*y + t^7.92*y + 2*t^8.*y + t^8.08*y - t^8.3*y - t^8.38*y - t^8.45*y + t^8.53*y - 2*t^8.69*y + t^8.77*y + 4*t^8.84*y + t^8.92*y | (g1^7*t^2.07)/g2^7 + t^2.15/(g1^4*g2^4) + (g2*t^2.38)/g1^9 + g1^8*t^2.46 + (g2^3*t^2.54)/g1^3 + (g1^3*t^3.46)/g2^3 + (2*g2^2*t^3.69)/g1^2 + (g2^5*t^3.77)/g1^13 + (g1^14*t^4.15)/g2^14 + (g1^3*t^4.22)/g2^11 + t^4.3/(g1^8*g2^8) + t^4.46/(g1^2*g2^6) + t^4.53/(g1^13*g2^3) + (g1^15*t^4.54)/g2^7 + (2*g1^4*t^4.61)/g2^4 + t^4.69/(g1^7*g2) + (g2^2*t^4.77)/g1^18 + (2*g2*t^4.85)/g1 + (g2^4*t^4.92)/g1^12 + g1^16*t^4.93 + g1^5*g2^3*t^5. + (g2^6*t^5.08)/g1^6 + (g1^10*t^5.53)/g2^10 + t^5.61/(g1*g2^7) + (g1^5*t^5.77)/g2^5 + (3*t^5.84)/(g1^6*g2^2) + (g2*t^5.92)/g1^17 - 2*t^6. + (g2^3*t^6.08)/g1^11 + (g2^6*t^6.15)/g1^22 + g1^6*g2^2*t^6.16 + (g1^21*t^6.22)/g2^21 + (2*g2^5*t^6.23)/g1^5 + (g1^10*t^6.3)/g2^18 + (g2^8*t^6.31)/g1^16 + t^6.37/(g1*g2^15) + t^6.45/(g1^12*g2^12) + (g1^5*t^6.53)/g2^13 + (g1^22*t^6.61)/g2^14 + t^6.61/(g1^6*g2^10) + t^6.68/(g1^17*g2^7) + (2*g1^11*t^6.69)/g2^11 + (2*t^6.76)/g2^8 + (2*t^6.84)/(g1^11*g2^5) + (2*g1^6*t^6.92)/g2^6 + t^6.92/(g1^22*g2^2) + (g1^23*t^7.)/g2^7 + (2*t^7.)/(g1^5*g2^3) + t^7.07/g1^16 + (g1^12*t^7.08)/g2^4 + (g1*t^7.15)/g2 + (g2^3*t^7.15)/g1^27 + (2*g2^2*t^7.23)/g1^10 + (g2^5*t^7.31)/g1^21 + g1^24*t^7.39 + (g2^4*t^7.39)/g1^4 + (2*g2^7*t^7.46)/g1^15 + g1^13*g2^3*t^7.47 + (g2^10*t^7.54)/g1^26 + (g1^17*t^7.61)/g2^17 + (g1^6*t^7.68)/g2^14 + t^7.76/(g1^5*g2^11) + (g1^12*t^7.84)/g2^12 + (2*g1*t^7.92)/g2^9 + (3*t^7.99)/(g1^10*g2^6) - (2*g1^7*t^8.07)/g2^7 + t^8.07/(g1^21*g2^3) - (2*t^8.15)/(g1^4*g2^4) + (2*t^8.23)/(g1^15*g2) + (g1^28*t^8.3)/g2^28 + (g2^2*t^8.3)/g1^26 + (2*g1^2*t^8.31)/g2^2 + (g1^17*t^8.37)/g2^25 - (g2*t^8.38)/g1^9 + (g1^6*t^8.45)/g2^22 - 4*g1^8*t^8.46 + (2*g2^4*t^8.46)/g1^20 + t^8.53/(g1^5*g2^19) - (2*g2^3*t^8.54)/g1^3 + (g2^7*t^8.54)/g1^31 + t^8.6/(g1^16*g2^16) + (g1^12*t^8.61)/g2^20 + g1^14*g2^2*t^8.62 + (g2^6*t^8.62)/g1^14 + (g1*t^8.68)/g2^17 + (g1^29*t^8.69)/g2^21 + (g2^9*t^8.69)/g1^25 + (2*g1^18*t^8.76)/g2^18 + t^8.76/(g1^10*g2^14) + (g2^8*t^8.77)/g1^8 + t^8.83/(g1^21*g2^11) + (2*g1^7*t^8.84)/g2^15 + (g2^11*t^8.85)/g1^19 + (3*t^8.91)/(g1^4*g2^12) + (2*g1^13*t^8.99)/g2^13 + (2*t^8.99)/(g1^15*g2^9) - (g1*t^4.15)/(g2*y) - (g1^8*t^6.23)/(g2^8*y) - t^6.3/(g1^3*g2^5*y) - t^6.54/(g1^8*y) - (g1^9*t^6.62)/(g2*y) + (g1^3*t^7.22)/(g2^11*y) + t^7.46/(g1^2*g2^6*y) + t^7.53/(g1^13*g2^3*y) + (g1^15*t^7.54)/(g2^7*y) + (2*g1^4*t^7.61)/(g2^4*y) + (2*t^7.69)/(g1^7*g2*y) + (g1^10*t^7.77)/(g2^2*y) + (g2*t^7.85)/(g1*y) + (g2^4*t^7.92)/(g1^12*y) + (2*g1^5*g2^3*t^8.)/y + (g2^6*t^8.08)/(g1^6*y) - (g1^15*t^8.3)/(g2^15*y) - (g1^4*t^8.38)/(g2^12*y) - t^8.45/(g1^7*g2^9*y) + (g1^10*t^8.53)/(g2^10*y) - (g1^16*t^8.69)/(g2^8*y) - t^8.69/(g1^12*g2^4*y) + (g1^5*t^8.77)/(g2^5*y) + (4*t^8.84)/(g1^6*g2^2*y) + (g1^11*t^8.92)/(g2^3*y) - (g1*t^4.15*y)/g2 - (g1^8*t^6.23*y)/g2^8 - (t^6.3*y)/(g1^3*g2^5) - (t^6.54*y)/g1^8 - (g1^9*t^6.62*y)/g2 + (g1^3*t^7.22*y)/g2^11 + (t^7.46*y)/(g1^2*g2^6) + (t^7.53*y)/(g1^13*g2^3) + (g1^15*t^7.54*y)/g2^7 + (2*g1^4*t^7.61*y)/g2^4 + (2*t^7.69*y)/(g1^7*g2) + (g1^10*t^7.77*y)/g2^2 + (g2*t^7.85*y)/g1 + (g2^4*t^7.92*y)/g1^12 + 2*g1^5*g2^3*t^8.*y + (g2^6*t^8.08*y)/g1^6 - (g1^15*t^8.3*y)/g2^15 - (g1^4*t^8.38*y)/g2^12 - (t^8.45*y)/(g1^7*g2^9) + (g1^10*t^8.53*y)/g2^10 - (g1^16*t^8.69*y)/g2^8 - (t^8.69*y)/(g1^12*g2^4) + (g1^5*t^8.77*y)/g2^5 + (4*t^8.84*y)/(g1^6*g2^2) + (g1^11*t^8.92*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3477 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1X_1$ | 0.571 | 0.696 | 0.8204 | [X:[1.4089], M:[0.5911, 1.2119, 0.9851, 0.8179, 0.7583, 1.1821, 1.0149], q:[0.8866, 0.5223], qb:[0.2955, 0.7194], phi:[0.394]] | t^2.27 + t^2.45 + t^2.96 + t^3.04 + t^3.55 + 2*t^3.64 + t^4.23 + t^4.32 + t^4.55 + t^4.73 + t^4.82 + t^4.91 + t^5.23 + t^5.5 + t^5.82 + 2*t^5.91 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 3479 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6748 | 0.8586 | 0.7859 | [X:[], M:[0.8089, 1.2355, 0.7202, 0.8532, 0.6758, 1.1468, 0.8089, 0.7202], q:[0.7423, 0.4488], qb:[0.4044, 0.8754], phi:[0.3823]] | t^2.03 + 2*t^2.16 + 2*t^2.43 + t^2.56 + t^3.44 + 2*t^3.71 + t^4.05 + 2*t^4.19 + 3*t^4.32 + 2*t^4.45 + 5*t^4.59 + 2*t^4.72 + 4*t^4.85 + 2*t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + t^5.73 + 4*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail |