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 |
|---|---|---|---|---|---|---|---|---|---|
| 4934 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.5964 | 0.7583 | 0.7865 | [X:[], M:[0.6882, 1.1476, 1.0166, 0.7214, 0.9834, 1.2786, 0.8856, 0.8192], q:[0.9345, 0.3773], qb:[0.3441, 0.6393], phi:[0.4262]] | [X:[], M:[[22], [-4], [-14], [-6], [14], [6], [-24], [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_7$, $ M_5$, $ M_3$, $ 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$, $ M_1M_7$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_8^2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_7^2$, $ M_5M_8$, $ M_1M_2$, $ M_3M_8$, $ M_2M_4$, $ M_5M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_3M_7$, $ M_5^2$, $ M_1M_6$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -1 | t^2.06 + t^2.16 + t^2.46 + t^2.66 + t^2.95 + t^3.05 + 2*t^3.44 + t^3.84 + t^4.13 + t^4.23 + t^4.33 + t^4.52 + t^4.62 + 2*t^4.72 + t^4.82 + t^4.92 + t^5.01 + 3*t^5.11 + t^5.21 + t^5.31 + t^5.41 + 2*t^5.51 + 2*t^5.61 + t^5.71 + 3*t^5.9 - t^6. + 2*t^6.1 + t^6.19 + 2*t^6.29 + t^6.39 + 2*t^6.49 + t^6.59 + t^6.69 + 2*t^6.79 + 2*t^6.89 + t^6.98 + 2*t^7.08 + 3*t^7.18 + 2*t^7.28 + t^7.37 + t^7.38 + t^7.47 + t^7.48 + 4*t^7.57 + 2*t^7.67 + 3*t^7.77 + 2*t^7.87 + 3*t^7.96 + t^7.97 + t^8.16 + 2*t^8.26 + 5*t^8.36 - t^8.46 + 3*t^8.56 + t^8.65 - 2*t^8.66 + 2*t^8.75 + 2*t^8.76 + 2*t^8.85 - t^4.28/y - t^6.34/y - t^6.74/y - t^6.94/y + t^7.23/y + t^7.52/y + (2*t^7.62)/y + t^7.72/y + (2*t^7.82)/y + t^8.01/y + (3*t^8.11)/y + (2*t^8.21)/y + (3*t^8.51)/y + (3*t^8.61)/y + t^8.71/y - t^8.8/y + (3*t^8.9)/y - t^4.28*y - t^6.34*y - t^6.74*y - t^6.94*y + t^7.23*y + t^7.52*y + 2*t^7.62*y + t^7.72*y + 2*t^7.82*y + t^8.01*y + 3*t^8.11*y + 2*t^8.21*y + 3*t^8.51*y + 3*t^8.61*y + t^8.71*y - t^8.8*y + 3*t^8.9*y | g1^22*t^2.06 + t^2.16/g1^6 + g1^32*t^2.46 + t^2.66/g1^24 + g1^14*t^2.95 + t^3.05/g1^14 + (2*t^3.44)/g1^4 + g1^6*t^3.84 + g1^44*t^4.13 + g1^16*t^4.23 + t^4.33/g1^12 + g1^54*t^4.52 + g1^26*t^4.62 + (2*t^4.72)/g1^2 + t^4.82/g1^30 + g1^64*t^4.92 + g1^36*t^5.01 + 3*g1^8*t^5.11 + t^5.21/g1^20 + t^5.31/g1^48 + g1^46*t^5.41 + 2*g1^18*t^5.51 + (2*t^5.61)/g1^10 + t^5.71/g1^38 + 3*g1^28*t^5.9 - t^6. + (2*t^6.1)/g1^28 + g1^66*t^6.19 + 2*g1^38*t^6.29 + g1^10*t^6.39 + (2*t^6.49)/g1^18 + g1^76*t^6.59 + g1^48*t^6.69 + 2*g1^20*t^6.79 + (2*t^6.89)/g1^8 + g1^86*t^6.98 + 2*g1^58*t^7.08 + 3*g1^30*t^7.18 + 2*g1^2*t^7.28 + g1^96*t^7.37 + t^7.38/g1^26 + g1^68*t^7.47 + t^7.48/g1^54 + 4*g1^40*t^7.57 + 2*g1^12*t^7.67 + (3*t^7.77)/g1^16 + t^7.87/g1^44 + g1^78*t^7.87 + 3*g1^50*t^7.96 + t^7.97/g1^72 + t^8.16/g1^6 + t^8.26/g1^34 + g1^88*t^8.26 + t^8.36/g1^62 + 4*g1^60*t^8.36 - g1^32*t^8.46 + 3*g1^4*t^8.56 + g1^98*t^8.65 - (2*t^8.66)/g1^24 + 2*g1^70*t^8.75 + (2*t^8.76)/g1^52 + 2*g1^42*t^8.85 - (g1^2*t^4.28)/y - (g1^24*t^6.34)/y - (g1^34*t^6.74)/y - t^6.94/(g1^22*y) + (g1^16*t^7.23)/y + (g1^54*t^7.52)/y + (2*g1^26*t^7.62)/y + t^7.72/(g1^2*y) + (2*t^7.82)/(g1^30*y) + (g1^36*t^8.01)/y + (3*g1^8*t^8.11)/y + (2*t^8.21)/(g1^20*y) + (3*g1^18*t^8.51)/y + (3*t^8.61)/(g1^10*y) + t^8.71/(g1^38*y) - (g1^56*t^8.8)/y + (3*g1^28*t^8.9)/y - g1^2*t^4.28*y - g1^24*t^6.34*y - g1^34*t^6.74*y - (t^6.94*y)/g1^22 + g1^16*t^7.23*y + g1^54*t^7.52*y + 2*g1^26*t^7.62*y + (t^7.72*y)/g1^2 + (2*t^7.82*y)/g1^30 + g1^36*t^8.01*y + 3*g1^8*t^8.11*y + (2*t^8.21*y)/g1^20 + 3*g1^18*t^8.51*y + (3*t^8.61*y)/g1^10 + (t^8.71*y)/g1^38 - g1^56*t^8.8*y + 3*g1^28*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 6539 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.5723 | 0.7286 | 0.7855 | [X:[], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.75, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + t^2.25 + t^2.44 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.94 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.69 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 37509/65536, c: 47749/65536, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3080 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5829 | 0.7351 | 0.7929 | [X:[], M:[0.7246, 1.141, 0.9934, 0.7115, 1.0066, 1.2885, 0.8459], q:[0.9262, 0.3492], qb:[0.3623, 0.6443], phi:[0.4295]] | t^2.13 + t^2.17 + t^2.54 + t^2.98 + t^3.02 + t^3.38 + 2*t^3.42 + t^3.87 + t^4.27 + t^4.31 + t^4.35 + t^4.67 + 2*t^4.71 + t^5.08 + t^5.11 + 2*t^5.15 + t^5.19 + 2*t^5.52 + 3*t^5.56 + t^5.6 + t^5.92 + 2*t^5.96 - t^6. - t^4.29/y - t^4.29*y | detail |