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 |
|---|---|---|---|---|---|---|---|---|---|
| 3537 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ | 0.6899 | 0.8808 | 0.7832 | [X:[], M:[0.8138, 1.0621, 1.1862, 0.6897, 0.8138, 1.0345, 0.6897], q:[0.4207, 0.7655], qb:[0.3931, 0.5448], phi:[0.469]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-30], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_6M_7$, $ M_2M_4$, $ M_2M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | -2 | 2*t^2.07 + 2*t^2.44 + t^2.81 + t^3.1 + t^3.19 + t^3.48 + t^3.77 + t^3.85 + 3*t^4.14 + t^4.22 + t^4.3 + 4*t^4.51 + t^4.68 + 5*t^4.88 + 2*t^5.17 + 4*t^5.26 + 3*t^5.54 + 2*t^5.63 + 2*t^5.83 + 4*t^5.92 - 2*t^6. - t^6.08 + 7*t^6.21 + 5*t^6.29 - t^6.46 + 8*t^6.58 + 2*t^6.66 + 2*t^6.74 + t^6.87 + 10*t^6.95 - t^7.03 + 4*t^7.24 + 11*t^7.32 - 2*t^7.41 + t^7.53 + 6*t^7.61 + 7*t^7.7 - t^7.78 - 2*t^7.86 + 3*t^7.9 + 9*t^7.99 - t^8.07 - 3*t^8.15 - t^8.23 + 11*t^8.28 + 11*t^8.36 - 4*t^8.44 - 4*t^8.52 + 16*t^8.65 + 8*t^8.73 - 4*t^8.81 - 2*t^8.9 + 2*t^8.94 + t^8.98 - t^4.41/y - (2*t^6.48)/y - t^6.85/y + t^7.14/y + t^7.3/y + (3*t^7.51)/y + (3*t^7.88)/y + t^7.97/y + (2*t^8.17)/y + (4*t^8.26)/y + (2*t^8.34)/y + t^8.54/y + (2*t^8.63)/y + (2*t^8.83)/y + (3*t^8.92)/y - t^4.41*y - 2*t^6.48*y - t^6.85*y + t^7.14*y + t^7.3*y + 3*t^7.51*y + 3*t^7.88*y + t^7.97*y + 2*t^8.17*y + 4*t^8.26*y + 2*t^8.34*y + t^8.54*y + 2*t^8.63*y + 2*t^8.83*y + 3*t^8.92*y | (2*t^2.07)/g1^20 + (2*t^2.44)/g1^12 + t^2.81/g1^4 + t^3.1/g1^30 + g1^4*t^3.19 + t^3.48/g1^22 + t^3.77/g1^48 + t^3.85/g1^14 + (3*t^4.14)/g1^40 + t^4.22/g1^6 + g1^28*t^4.3 + (4*t^4.51)/g1^32 + g1^36*t^4.68 + (5*t^4.88)/g1^24 + (2*t^5.17)/g1^50 + (4*t^5.26)/g1^16 + (3*t^5.54)/g1^42 + (2*t^5.63)/g1^8 + (2*t^5.83)/g1^68 + (4*t^5.92)/g1^34 - 2*t^6. - g1^34*t^6.08 + (7*t^6.21)/g1^60 + (5*t^6.29)/g1^26 - g1^42*t^6.46 + (8*t^6.58)/g1^52 + (2*t^6.66)/g1^18 + 2*g1^16*t^6.74 + t^6.87/g1^78 + (10*t^6.95)/g1^44 - t^7.03/g1^10 + (4*t^7.24)/g1^70 + (11*t^7.32)/g1^36 - (2*t^7.41)/g1^2 + t^7.53/g1^96 + (6*t^7.61)/g1^62 + (7*t^7.7)/g1^28 - g1^6*t^7.78 - 2*g1^40*t^7.86 + (3*t^7.9)/g1^88 + (9*t^7.99)/g1^54 - t^8.07/g1^20 - 3*g1^14*t^8.15 - g1^48*t^8.23 + (11*t^8.28)/g1^80 + (11*t^8.36)/g1^46 - (4*t^8.44)/g1^12 - 4*g1^22*t^8.52 + (16*t^8.65)/g1^72 + (8*t^8.73)/g1^38 - (4*t^8.81)/g1^4 - 2*g1^30*t^8.9 + (2*t^8.94)/g1^98 + g1^64*t^8.98 - t^4.41/(g1^2*y) - (2*t^6.48)/(g1^22*y) - t^6.85/(g1^14*y) + t^7.14/(g1^40*y) + (g1^28*t^7.3)/y + (3*t^7.51)/(g1^32*y) + (3*t^7.88)/(g1^24*y) + (g1^10*t^7.97)/y + (2*t^8.17)/(g1^50*y) + (4*t^8.26)/(g1^16*y) + (2*g1^18*t^8.34)/y + t^8.54/(g1^42*y) + (2*t^8.63)/(g1^8*y) + (2*t^8.83)/(g1^68*y) + (3*t^8.92)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.48*y)/g1^22 - (t^6.85*y)/g1^14 + (t^7.14*y)/g1^40 + g1^28*t^7.3*y + (3*t^7.51*y)/g1^32 + (3*t^7.88*y)/g1^24 + g1^10*t^7.97*y + (2*t^8.17*y)/g1^50 + (4*t^8.26*y)/g1^16 + 2*g1^18*t^8.34*y + (t^8.54*y)/g1^42 + (2*t^8.63*y)/g1^8 + (2*t^8.83*y)/g1^68 + (3*t^8.92*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5211 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7097 | 0.9158 | 0.7749 | [X:[], M:[0.8205, 1.0598, 1.1795, 0.7009, 0.8205, 1.0514, 0.7009, 0.7178], q:[0.4145, 0.765], qb:[0.406, 0.5341], phi:[0.4701]] | 2*t^2.1 + t^2.15 + 2*t^2.46 + t^2.82 + t^3.15 + t^3.18 + t^3.51 + t^3.87 + 3*t^4.21 + t^4.23 + 3*t^4.26 + t^4.31 + 4*t^4.56 + 3*t^4.62 + 5*t^4.92 + t^4.97 + 2*t^5.26 + 4*t^5.28 + t^5.31 + t^5.33 + 3*t^5.62 + 2*t^5.64 + t^5.67 + 4*t^5.97 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 27929449/39356652, c: 9011135/9839163, M1: 1486/1811, M2: 5758/5433, M3: 2136/1811, M4: 3808/5433, M5: 1486/1811, M6: 1904/1811, M7: 3808/5433, M8: 1300/1811, q1: 2252/5433, q2: 4156/5433, qb1: 2206/5433, qb2: 2902/5433, phi1: 2554/5433} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2952 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6692 | 0.8404 | 0.7963 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | t^2.08 + 2*t^2.45 + t^2.82 + t^3.11 + t^3.18 + t^3.48 + t^3.78 + t^3.85 + t^3.92 + t^4.15 + t^4.22 + t^4.29 + 2*t^4.52 + t^4.66 + 4*t^4.89 + t^5.19 + 3*t^5.26 + 2*t^5.56 + 2*t^5.63 + t^5.86 + 3*t^5.93 - t^6. - t^4.41/y - t^4.41*y | detail |