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 |
|---|---|---|---|---|---|---|---|---|---|
| 54967 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ | 0.6534 | 0.8644 | 0.7559 | [X:[], M:[0.9507, 0.8207, 0.852, 0.722, 0.852, 1.0493], q:[0.7377, 0.3117], qb:[0.4417, 0.4103], phi:[0.5247]] | [X:[], M:[[-4], [26], [-12], [18], [-12], [4]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_6$, $ \phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_4$, $ M_2q_2\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_3M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -3 | 2*t^2.17 + t^2.26 + t^2.46 + 3*t^2.56 + 2*t^3.15 + t^3.74 + t^4.04 + t^4.13 + t^4.22 + 3*t^4.33 + 2*t^4.43 + t^4.52 + 2*t^4.63 + 7*t^4.72 + 3*t^4.82 + t^4.92 + 3*t^5.02 + 6*t^5.11 + 4*t^5.31 + 2*t^5.41 + t^5.61 + 4*t^5.7 + t^5.91 - 3*t^6. - t^6.09 + 3*t^6.2 + 5*t^6.3 + t^6.39 + t^6.48 + 5*t^6.5 + 5*t^6.59 + 4*t^6.69 + 4*t^6.78 + 3*t^6.79 + 10*t^6.89 + 4*t^6.98 + 2*t^7.08 + 2*t^7.09 + 7*t^7.18 + 13*t^7.28 + 7*t^7.37 + t^7.39 + 8*t^7.48 + 5*t^7.57 + 9*t^7.67 + 3*t^7.78 + 7*t^7.87 + 2*t^7.96 + 3*t^8.07 - 5*t^8.17 + 2*t^8.26 + 4*t^8.37 + t^8.45 + 3*t^8.46 - 9*t^8.56 - 2*t^8.65 + 8*t^8.66 + t^8.74 + 9*t^8.76 + 7*t^8.85 + 4*t^8.95 + 5*t^8.96 - t^4.57/y - t^6.74/y - t^7.04/y - (2*t^7.13)/y + t^7.33/y + (3*t^7.43)/y + (2*t^7.63)/y + (6*t^7.72)/y + (3*t^7.82)/y + (5*t^8.02)/y + (4*t^8.11)/y + (4*t^8.31)/y + (3*t^8.41)/y + (2*t^8.61)/y + (6*t^8.7)/y + t^8.91/y - t^4.57*y - t^6.74*y - t^7.04*y - 2*t^7.13*y + t^7.33*y + 3*t^7.43*y + 2*t^7.63*y + 6*t^7.72*y + 3*t^7.82*y + 5*t^8.02*y + 4*t^8.11*y + 4*t^8.31*y + 3*t^8.41*y + 2*t^8.61*y + 6*t^8.7*y + t^8.91*y | 2*g1^18*t^2.17 + t^2.26/g1^20 + g1^26*t^2.46 + (3*t^2.56)/g1^12 + 2*g1^4*t^3.15 + g1^20*t^3.74 + g1^28*t^4.04 + t^4.13/g1^10 + t^4.22/g1^48 + 3*g1^36*t^4.33 + (2*t^4.43)/g1^2 + t^4.52/g1^40 + 2*g1^44*t^4.63 + 7*g1^6*t^4.72 + (3*t^4.82)/g1^32 + g1^52*t^4.92 + 3*g1^14*t^5.02 + (6*t^5.11)/g1^24 + 4*g1^22*t^5.31 + (2*t^5.41)/g1^16 + g1^30*t^5.61 + (4*t^5.7)/g1^8 + g1^38*t^5.91 - 3*t^6. - t^6.09/g1^38 + 3*g1^46*t^6.2 + 5*g1^8*t^6.3 + t^6.39/g1^30 + t^6.48/g1^68 + 5*g1^54*t^6.5 + 5*g1^16*t^6.59 + (4*t^6.69)/g1^22 + (4*t^6.78)/g1^60 + 3*g1^62*t^6.79 + 10*g1^24*t^6.89 + (4*t^6.98)/g1^14 + (2*t^7.08)/g1^52 + 2*g1^70*t^7.09 + 7*g1^32*t^7.18 + (13*t^7.28)/g1^6 + (7*t^7.37)/g1^44 + g1^78*t^7.39 + 8*g1^40*t^7.48 + 5*g1^2*t^7.57 + (9*t^7.67)/g1^36 + 3*g1^48*t^7.78 + 7*g1^10*t^7.87 + (2*t^7.96)/g1^28 + 3*g1^56*t^8.07 - 5*g1^18*t^8.17 + (2*t^8.26)/g1^20 + 4*g1^64*t^8.37 + t^8.45/g1^96 + 3*g1^26*t^8.46 - (9*t^8.56)/g1^12 - (2*t^8.65)/g1^50 + 8*g1^72*t^8.66 + t^8.74/g1^88 + 9*g1^34*t^8.76 + (7*t^8.85)/g1^4 + (4*t^8.95)/g1^42 + 5*g1^80*t^8.96 - (g1^2*t^4.57)/y - (g1^20*t^6.74)/y - (g1^28*t^7.04)/y - (2*t^7.13)/(g1^10*y) + (g1^36*t^7.33)/y + (3*t^7.43)/(g1^2*y) + (2*g1^44*t^7.63)/y + (6*g1^6*t^7.72)/y + (3*t^7.82)/(g1^32*y) + (5*g1^14*t^8.02)/y + (4*t^8.11)/(g1^24*y) + (4*g1^22*t^8.31)/y + (3*t^8.41)/(g1^16*y) + (2*g1^30*t^8.61)/y + (6*t^8.7)/(g1^8*y) + (g1^38*t^8.91)/y - g1^2*t^4.57*y - g1^20*t^6.74*y - g1^28*t^7.04*y - (2*t^7.13*y)/g1^10 + g1^36*t^7.33*y + (3*t^7.43*y)/g1^2 + 2*g1^44*t^7.63*y + 6*g1^6*t^7.72*y + (3*t^7.82*y)/g1^32 + 5*g1^14*t^8.02*y + (4*t^8.11*y)/g1^24 + 4*g1^22*t^8.31*y + (3*t^8.41*y)/g1^16 + 2*g1^30*t^8.61*y + (6*t^8.7*y)/g1^8 + g1^38*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 56739 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6527 | 0.8632 | 0.7561 | [X:[], M:[0.9474, 0.8421, 0.8421, 0.7368, 0.8421, 1.0526], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + 4*t^2.53 + 2*t^3.16 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 12*t^4.74 + 10*t^5.05 + 6*t^5.37 + 5*t^5.68 - 3*t^6. - t^4.58/y - t^4.58*y | detail | {a: 17907/27436, c: 23683/27436, M1: 18/19, M2: 16/19, M3: 16/19, M4: 14/19, M5: 16/19, M6: 20/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46949 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.658 | 0.872 | 0.7545 | [X:[], M:[0.9499, 0.8254, 0.8498, 0.7253, 0.8498], q:[0.7375, 0.3126], qb:[0.4371, 0.4127], phi:[0.525]] | 2*t^2.18 + t^2.25 + t^2.48 + 3*t^2.55 + t^2.85 + t^3.15 + t^3.75 + t^4.05 + t^4.12 + t^4.2 + 3*t^4.35 + 2*t^4.42 + t^4.5 + 2*t^4.65 + 7*t^4.73 + 3*t^4.8 + t^4.95 + 5*t^5.03 + 7*t^5.1 + 3*t^5.33 + 4*t^5.4 + 2*t^5.7 + t^5.93 - 2*t^6. - t^4.58/y - t^4.58*y | detail |