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 |
|---|---|---|---|---|---|---|---|---|---|
| 4392 | 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$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.5847 | 0.7392 | 0.791 | [X:[], M:[0.6781, 1.1494, 1.023, 0.7242, 0.977, 1.2758, 1.023, 0.8045], q:[0.9368, 0.3851], qb:[0.3391, 0.6379], phi:[0.4253]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-14], [32]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_8$, $ M_3$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_8$, $ M_4M_8$, $ q_1\tilde{q}_2$, $ M_8^2$, $ M_1M_3$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1q_1q_2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_3M_8$, $ M_7M_8$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_8\phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.03 + t^2.17 + t^2.41 + 2*t^3.07 + t^3.31 + 2*t^3.45 + t^3.83 + t^4.07 + t^4.21 + t^4.34 + t^4.45 + t^4.59 + t^4.72 + t^4.83 + 2*t^5.1 + 2*t^5.24 + t^5.34 + 4*t^5.48 + t^5.62 + t^5.72 + 2*t^5.86 - 2*t^6. + t^6.1 + 2*t^6.14 + 2*t^6.24 + t^6.38 + t^6.48 + 3*t^6.52 + 2*t^6.62 + 2*t^6.76 + t^6.86 + 2*t^6.9 + t^7. - t^7.03 + 3*t^7.14 + t^7.24 + t^7.28 + t^7.38 + 4*t^7.52 + 2*t^7.66 + t^7.76 + t^7.79 + 4*t^7.9 - 2*t^8.03 + 2*t^8.14 + 3*t^8.28 + t^8.31 - t^8.41 + t^8.52 + 4*t^8.55 + 3*t^8.65 + 2*t^8.79 + t^8.9 + 2*t^8.93 - t^4.28/y - t^6.31/y - t^6.69/y + (2*t^7.21)/y - t^7.34/y + t^7.45/y + t^7.59/y + t^7.86/y + (2*t^8.1)/y + (3*t^8.24)/y + (5*t^8.48)/y + (2*t^8.62)/y + (3*t^8.86)/y - t^4.28*y - t^6.31*y - t^6.69*y + 2*t^7.21*y - t^7.34*y + t^7.45*y + t^7.59*y + t^7.86*y + 2*t^8.1*y + 3*t^8.24*y + 5*t^8.48*y + 2*t^8.62*y + 3*t^8.86*y | g1^22*t^2.03 + t^2.17/g1^6 + g1^32*t^2.41 + (2*t^3.07)/g1^14 + g1^24*t^3.31 + (2*t^3.45)/g1^4 + g1^6*t^3.83 + g1^44*t^4.07 + g1^16*t^4.21 + t^4.34/g1^12 + g1^54*t^4.45 + g1^26*t^4.59 + t^4.72/g1^2 + g1^64*t^4.83 + 2*g1^8*t^5.1 + (2*t^5.24)/g1^20 + g1^46*t^5.34 + 4*g1^18*t^5.48 + t^5.62/g1^10 + g1^56*t^5.72 + 2*g1^28*t^5.86 - 2*t^6. + g1^66*t^6.1 + (2*t^6.14)/g1^28 + 2*g1^38*t^6.24 + g1^10*t^6.38 + g1^76*t^6.48 + (3*t^6.52)/g1^18 + 2*g1^48*t^6.62 + 2*g1^20*t^6.76 + g1^86*t^6.86 + (2*t^6.9)/g1^8 + g1^58*t^7. - t^7.03/g1^36 + 3*g1^30*t^7.14 + g1^96*t^7.24 + g1^2*t^7.28 + g1^68*t^7.38 + 4*g1^40*t^7.52 + 2*g1^12*t^7.66 + g1^78*t^7.76 + t^7.79/g1^16 + 4*g1^50*t^7.9 - 2*g1^22*t^8.03 + 2*g1^88*t^8.14 + 3*g1^60*t^8.28 + t^8.31/g1^34 - g1^32*t^8.41 + g1^98*t^8.52 + 4*g1^4*t^8.55 + 3*g1^70*t^8.65 + 2*g1^42*t^8.79 + g1^108*t^8.9 + 2*g1^14*t^8.93 - (g1^2*t^4.28)/y - (g1^24*t^6.31)/y - (g1^34*t^6.69)/y + (2*g1^16*t^7.21)/y - t^7.34/(g1^12*y) + (g1^54*t^7.45)/y + (g1^26*t^7.59)/y + t^7.86/(g1^30*y) + (2*g1^8*t^8.1)/y + (3*t^8.24)/(g1^20*y) + (5*g1^18*t^8.48)/y + (2*t^8.62)/(g1^10*y) + (3*g1^28*t^8.86)/y - g1^2*t^4.28*y - g1^24*t^6.31*y - g1^34*t^6.69*y + 2*g1^16*t^7.21*y - (t^7.34*y)/g1^12 + g1^54*t^7.45*y + g1^26*t^7.59*y + (t^7.86*y)/g1^30 + 2*g1^8*t^8.1*y + (3*t^8.24*y)/g1^20 + 5*g1^18*t^8.48*y + (2*t^8.62*y)/g1^10 + 3*g1^28*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 5882 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_6M_9$ | 0.6047 | 0.7762 | 0.779 | [X:[], M:[0.6807, 1.149, 1.0214, 0.7234, 0.9786, 1.2766, 1.0214, 0.8083, 0.7234], q:[0.9362, 0.3831], qb:[0.3404, 0.6383], phi:[0.4255]] | t^2.04 + 2*t^2.17 + t^2.42 + 2*t^3.06 + t^3.32 + 2*t^3.45 + t^4.08 + 2*t^4.21 + 3*t^4.34 + t^4.47 + 2*t^4.6 + t^4.72 + t^4.85 + 2*t^5.11 + 4*t^5.23 + t^5.36 + 5*t^5.49 + 3*t^5.62 + t^5.74 + t^5.87 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 5881 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.5591 | 0.7036 | 0.7946 | [X:[], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.9375, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + t^2.44 + 2*t^2.81 + t^3. + 2*t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + t^4.69 + 3*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 2*t^5.62 + 4*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 73281/131072, c: 92225/131072, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2380 | 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$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.14 + t^2.15 + 2*t^3. + t^3.42 + 3*t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + t^4.71 + 4*t^5.14 + t^5.56 + 2*t^5.57 + 3*t^5.58 + 2*t^5.99 - 2*t^6. - t^4.29/y - t^4.29*y | detail |