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 |
|---|---|---|---|---|---|---|---|---|---|
| 1352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6352 | 0.8516 | 0.7459 | [X:[], M:[0.9231, 1.2307, 0.9231, 0.7693, 0.6922, 0.6922], q:[0.7308, 0.3461], qb:[0.3461, 0.4232], phi:[0.5384]] | [X:[], M:[[4], [-12], [4], [12], [-10], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_6$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_2M_4$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$ | 1 | 3*t^2.08 + 2*t^2.31 + 2*t^2.77 + t^3.23 + t^3.46 + 3*t^3.69 + 7*t^4.15 + 6*t^4.38 + 3*t^4.62 + 6*t^4.85 + 4*t^5.08 + 3*t^5.31 + 7*t^5.54 + 9*t^5.77 + t^6. + 12*t^6.23 + 16*t^6.46 + 7*t^6.69 + 18*t^6.92 + 9*t^7.15 + 9*t^7.38 + 5*t^7.39 + 11*t^7.62 + 22*t^7.85 + 2*t^8.08 + 20*t^8.31 + 26*t^8.54 + 9*t^8.77 - t^4.62/y - (2*t^6.69)/y + (3*t^7.15)/y + (5*t^7.38)/y + t^7.62/y + (7*t^7.85)/y + (4*t^8.08)/y + (3*t^8.31)/y + (8*t^8.54)/y + (8*t^8.77)/y - t^4.62*y - 2*t^6.69*y + 3*t^7.15*y + 5*t^7.38*y + t^7.62*y + 7*t^7.85*y + 4*t^8.08*y + 3*t^8.31*y + 8*t^8.54*y + 8*t^8.77*y | (3*t^2.08)/g1^10 + 2*g1^12*t^2.31 + 2*g1^4*t^2.77 + t^3.23/g1^4 + g1^18*t^3.46 + (3*t^3.69)/g1^12 + (6*t^4.15)/g1^20 + g1^32*t^4.15 + 6*g1^2*t^4.38 + 3*g1^24*t^4.62 + (6*t^4.85)/g1^6 + 4*g1^16*t^5.08 + (3*t^5.31)/g1^14 + 7*g1^8*t^5.54 + (7*t^5.77)/g1^22 + 2*g1^30*t^5.77 + t^6. + (10*t^6.23)/g1^30 + 2*g1^22*t^6.23 + (14*t^6.46)/g1^8 + 2*g1^44*t^6.46 + 7*g1^14*t^6.69 + (12*t^6.92)/g1^16 + 6*g1^36*t^6.92 + 9*g1^6*t^7.15 + (9*t^7.38)/g1^24 + 5*g1^28*t^7.39 + (10*t^7.62)/g1^2 + g1^50*t^7.62 + (12*t^7.85)/g1^32 + 10*g1^20*t^7.85 - t^8.08/g1^10 + 3*g1^42*t^8.08 + (15*t^8.31)/g1^40 + 4*g1^12*t^8.31 + g1^64*t^8.31 + (22*t^8.54)/g1^18 + 4*g1^34*t^8.54 + 6*g1^4*t^8.77 + 3*g1^56*t^8.77 - t^4.62/(g1^2*y) - (2*t^6.69)/(g1^12*y) + (3*t^7.15)/(g1^20*y) + (5*g1^2*t^7.38)/y + (g1^24*t^7.62)/y + (7*t^7.85)/(g1^6*y) + (4*g1^16*t^8.08)/y + (3*t^8.31)/(g1^14*y) + (8*g1^8*t^8.54)/y + (6*t^8.77)/(g1^22*y) + (2*g1^30*t^8.77)/y - (t^4.62*y)/g1^2 - (2*t^6.69*y)/g1^12 + (3*t^7.15*y)/g1^20 + 5*g1^2*t^7.38*y + g1^24*t^7.62*y + (7*t^7.85*y)/g1^6 + 4*g1^16*t^8.08*y + (3*t^8.31*y)/g1^14 + 8*g1^8*t^8.54*y + (6*t^8.77*y)/g1^22 + 2*g1^30*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 2413 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_7$ | 0.6536 | 0.8848 | 0.7387 | [X:[], M:[0.9204, 1.2389, 0.9204, 0.7611, 0.6991, 0.6991, 0.7611], q:[0.7301, 0.3495], qb:[0.3495, 0.4116], phi:[0.5398]] | 3*t^2.1 + 3*t^2.28 + 2*t^2.76 + t^3.24 + t^3.42 + 2*t^3.72 + t^4.09 + 6*t^4.19 + 9*t^4.38 + 6*t^4.57 + 6*t^4.86 + 6*t^5.04 + 3*t^5.34 + 8*t^5.52 + 3*t^5.71 + 4*t^5.81 + t^6. - t^4.62/y - t^4.62*y | detail | |
| 2414 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6424 | 0.8636 | 0.7438 | [X:[], M:[0.9213, 1.236, 0.9213, 0.764, 0.6967, 0.6967, 0.9213], q:[0.7303, 0.3483], qb:[0.3483, 0.4157], phi:[0.5393]] | 3*t^2.09 + 2*t^2.29 + 3*t^2.76 + t^3.44 + 3*t^3.71 + t^4.11 + 6*t^4.18 + 6*t^4.38 + 3*t^4.58 + 9*t^4.85 + 6*t^5.06 + 8*t^5.53 + 2*t^5.73 + 7*t^5.8 - t^6. - t^4.62/y - t^4.62*y | detail | |
| 2412 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6496 | 0.8775 | 0.7403 | [X:[], M:[0.9292, 1.2124, 0.9292, 0.7876, 0.677, 0.677, 0.8186], q:[0.7323, 0.3385], qb:[0.3385, 0.4491], phi:[0.5354]] | 3*t^2.03 + 2*t^2.36 + t^2.46 + 2*t^2.79 + t^3.21 + 3*t^3.64 + 6*t^4.06 + t^4.3 + 6*t^4.39 + 3*t^4.49 + 3*t^4.73 + 8*t^4.82 + t^4.91 + 4*t^5.15 + 5*t^5.24 + 4*t^5.58 + 8*t^5.67 + t^6. - t^4.61/y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 858 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6146 | 0.8118 | 0.7571 | [X:[], M:[0.9224, 1.2329, 0.9224, 0.7671, 0.6941], q:[0.7306, 0.347], qb:[0.347, 0.4201], phi:[0.5388]] | 2*t^2.08 + 2*t^2.3 + 2*t^2.77 + t^3.23 + t^3.45 + 3*t^3.7 + t^3.92 + t^4.14 + 3*t^4.16 + 4*t^4.38 + 3*t^4.6 + 4*t^4.85 + 4*t^5.07 + 2*t^5.32 + 6*t^5.53 + 2*t^5.75 + 4*t^5.78 + 3*t^6. - t^4.62/y - t^4.62*y | detail |