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 |
|---|---|---|---|---|---|---|---|---|---|
| 2953 | 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_6\phi_1q_1^2$ | 0.6948 | 0.885 | 0.785 | [X:[], M:[0.8282, 1.0573, 1.1718, 0.7136, 0.8282, 0.7136], q:[0.4075, 0.7643], qb:[0.4207, 0.5221], phi:[0.4714]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [-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_6$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_6$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$ | . | -2 | 2*t^2.14 + 2*t^2.48 + t^2.79 + t^2.83 + t^3.17 + t^3.55 + t^3.9 + t^3.94 + t^4.2 + t^4.24 + 3*t^4.28 + t^4.55 + 4*t^4.63 + 2*t^4.93 + 5*t^4.97 + 2*t^5.27 + 4*t^5.31 + t^5.58 + t^5.62 + 2*t^5.66 + t^5.7 - 2*t^6. + 3*t^6.04 + 2*t^6.08 - t^6.3 + t^6.34 + 4*t^6.38 + 6*t^6.42 + 3*t^6.69 + 3*t^6.73 + 7*t^6.77 + t^6.99 + t^7.03 + 2*t^7.07 + 9*t^7.11 + t^7.34 + t^7.41 + 10*t^7.45 + t^7.49 + 3*t^7.76 + 7*t^7.8 + 2*t^7.84 + t^7.88 + t^8.06 + t^8.1 - t^8.14 + 4*t^8.18 + 3*t^8.22 + t^8.37 + t^8.41 - 2*t^8.45 - 3*t^8.48 + 7*t^8.52 + 9*t^8.56 + t^8.75 - 4*t^8.79 - t^8.83 + 8*t^8.87 + 13*t^8.91 - t^4.41/y - (2*t^6.55)/y - t^6.9/y + t^7.28/y + (4*t^7.63)/y + (3*t^7.93)/y + (3*t^7.97)/y + (4*t^8.27)/y + (4*t^8.31)/y + t^8.62/y + (2*t^8.66)/y - t^8.7/y + t^8.96/y - t^4.41*y - 2*t^6.55*y - t^6.9*y + t^7.28*y + 4*t^7.63*y + 3*t^7.93*y + 3*t^7.97*y + 4*t^8.27*y + 4*t^8.31*y + t^8.62*y + 2*t^8.66*y - t^8.7*y + t^8.96*y | (2*t^2.14)/g1^20 + (2*t^2.48)/g1^12 + g1^30*t^2.79 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.55/g1^22 + t^3.9/g1^14 + t^3.94/g1^48 + g1^28*t^4.2 + t^4.24/g1^6 + (3*t^4.28)/g1^40 + g1^36*t^4.55 + (4*t^4.63)/g1^32 + 2*g1^10*t^4.93 + (5*t^4.97)/g1^24 + 2*g1^18*t^5.27 + (4*t^5.31)/g1^16 + g1^60*t^5.58 + g1^26*t^5.62 + (2*t^5.66)/g1^8 + t^5.7/g1^42 - 2*t^6. + (3*t^6.04)/g1^34 + (2*t^6.08)/g1^68 - g1^42*t^6.3 + g1^8*t^6.34 + (4*t^6.38)/g1^26 + (6*t^6.42)/g1^60 + 3*g1^16*t^6.69 + (3*t^6.73)/g1^18 + (7*t^6.77)/g1^52 + g1^58*t^6.99 + g1^24*t^7.03 + (2*t^7.07)/g1^10 + (9*t^7.11)/g1^44 + g1^66*t^7.34 + t^7.41/g1^2 + (10*t^7.45)/g1^36 + t^7.49/g1^70 + 3*g1^6*t^7.76 + (7*t^7.8)/g1^28 + (2*t^7.84)/g1^62 + t^7.88/g1^96 + g1^48*t^8.06 + g1^14*t^8.1 - t^8.14/g1^20 + (4*t^8.18)/g1^54 + (3*t^8.22)/g1^88 + g1^90*t^8.37 + g1^56*t^8.41 - 2*g1^22*t^8.45 - (3*t^8.48)/g1^12 + (7*t^8.52)/g1^46 + (9*t^8.56)/g1^80 + g1^64*t^8.75 - 4*g1^30*t^8.79 - t^8.83/g1^4 + (8*t^8.87)/g1^38 + (13*t^8.91)/g1^72 - t^4.41/(g1^2*y) - (2*t^6.55)/(g1^22*y) - t^6.9/(g1^14*y) + t^7.28/(g1^40*y) + (4*t^7.63)/(g1^32*y) + (3*g1^10*t^7.93)/y + (3*t^7.97)/(g1^24*y) + (4*g1^18*t^8.27)/y + (4*t^8.31)/(g1^16*y) + (g1^26*t^8.62)/y + (2*t^8.66)/(g1^8*y) - t^8.7/(g1^42*y) + (g1^34*t^8.96)/y - (t^4.41*y)/g1^2 - (2*t^6.55*y)/g1^22 - (t^6.9*y)/g1^14 + (t^7.28*y)/g1^40 + (4*t^7.63*y)/g1^32 + 3*g1^10*t^7.93*y + (3*t^7.97*y)/g1^24 + 4*g1^18*t^8.27*y + (4*t^8.31*y)/g1^16 + g1^26*t^8.62*y + (2*t^8.66*y)/g1^8 - (t^8.7*y)/g1^42 + g1^34*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 3539 | $M_1q_1q_2$ + $ 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_6\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6882 | 0.8727 | 0.7886 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.29 + 3*t^2.57 + t^2.86 + t^3.14 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 6*t^4.86 + 8*t^5.14 + 5*t^5.43 + 2*t^5.71 - 2*t^6. - t^4.43/y - t^4.43*y | detail | {a: 5665/8232, c: 898/1029, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3538 | $M_1q_1q_2$ + $ 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_6\phi_1q_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.7153 | 0.9241 | 0.774 | [X:[], M:[0.8294, 1.0569, 1.1706, 0.7157, 0.8294, 0.7157, 0.699], q:[0.4063, 0.7642], qb:[0.4231, 0.52], phi:[0.4716]] | t^2.1 + 2*t^2.15 + 2*t^2.49 + t^2.78 + t^2.83 + t^3.17 + t^3.56 + t^3.95 + 2*t^4.19 + 3*t^4.24 + 3*t^4.29 + t^4.54 + 2*t^4.59 + 4*t^4.64 + t^4.88 + 3*t^4.93 + 5*t^4.98 + 3*t^5.27 + 4*t^5.32 + t^5.56 + t^5.61 + 3*t^5.66 + t^5.71 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 3540 | $M_1q_1q_2$ + $ 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_6\phi_1q_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7155 | 0.9254 | 0.7732 | [X:[], M:[0.83, 1.0567, 1.17, 0.7167, 0.83, 0.7167, 0.6799], q:[0.4058, 0.7642], qb:[0.4242, 0.5191], phi:[0.4717]] | t^2.04 + 2*t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.91 + t^4.08 + 3*t^4.19 + t^4.25 + 3*t^4.3 + 3*t^4.53 + 4*t^4.64 + t^4.81 + t^4.87 + 2*t^4.92 + 5*t^4.98 + t^5.21 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 2*t^5.6 + 2*t^5.66 + t^5.72 + t^5.94 - 2*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | 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$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. - t^4.42/y - t^4.42*y | detail |