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 |
|---|---|---|---|---|---|---|---|---|---|
| 1935 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6818 | 0.8558 | 0.7967 | [X:[], M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | [X:[], M:[[0], [-8], [8], [-16], [-8]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_4\phi_1q_1\tilde{q}_1$ | . | -2 | t^2.03 + 2*t^2.51 + t^2.76 + t^2.84 + t^3. + t^3.65 + t^3.73 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.38 + 2*t^4.54 + t^4.7 + t^4.79 + t^4.86 + 4*t^5.03 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + t^5.59 + t^5.67 + 2*t^5.76 + t^5.92 - 2*t^6. + 2*t^6.09 + t^6.16 + 2*t^6.24 - t^6.32 + 3*t^6.41 + t^6.56 + 4*t^6.57 + t^6.65 + 3*t^6.73 + 2*t^6.82 + 3*t^6.89 - t^6.97 + t^7.05 + 4*t^7.06 - t^7.14 + 2*t^7.21 + 2*t^7.3 + t^7.38 + t^7.46 + t^7.53 + 5*t^7.54 + t^7.62 + t^7.71 + 6*t^7.79 + t^7.86 + 2*t^7.95 + t^8.03 + 2*t^8.11 + 3*t^8.12 + t^8.18 - t^8.19 + 4*t^8.27 - t^8.35 + 2*t^8.43 + 3*t^8.44 - 4*t^8.51 + t^8.59 + 4*t^8.6 + 2*t^8.68 + 3*t^8.76 - 3*t^8.84 + t^8.91 + 5*t^8.92 - t^4.38/y - t^6.41/y - t^6.89/y - t^7.14/y + (2*t^7.54)/y + t^7.62/y + t^7.79/y + (2*t^7.86)/y + (2*t^8.03)/y + (2*t^8.27)/y + (3*t^8.35)/y - t^8.44/y + (2*t^8.51)/y + t^8.59/y + t^8.68/y + (2*t^8.76)/y + t^8.84/y - t^4.38*y - t^6.41*y - t^6.89*y - t^7.14*y + 2*t^7.54*y + t^7.62*y + t^7.79*y + 2*t^7.86*y + 2*t^8.03*y + 2*t^8.27*y + 3*t^8.35*y - t^8.44*y + 2*t^8.51*y + t^8.59*y + t^8.68*y + 2*t^8.76*y + t^8.84*y | t^2.03/g1^16 + (2*t^2.51)/g1^8 + t^2.76/g1^4 + g1^22*t^2.84 + t^3. + t^3.65/g1^14 + g1^12*t^3.73 + t^3.89/g1^10 + (2*t^4.06)/g1^32 + g1^20*t^4.21 + t^4.38/g1^2 + (2*t^4.54)/g1^24 + g1^28*t^4.7 + t^4.79/g1^20 + g1^6*t^4.86 + (4*t^5.03)/g1^16 + (2*t^5.27)/g1^12 + 2*g1^14*t^5.35 + (2*t^5.51)/g1^8 + g1^18*t^5.59 + g1^44*t^5.67 + (2*t^5.76)/g1^4 + t^5.92/g1^26 - 2*t^6. + (2*t^6.09)/g1^48 + t^6.16/g1^22 + 2*g1^4*t^6.24 - g1^30*t^6.32 + (3*t^6.41)/g1^18 + g1^34*t^6.56 + (4*t^6.57)/g1^40 + t^6.65/g1^14 + 3*g1^12*t^6.73 + (2*t^6.82)/g1^36 + (3*t^6.89)/g1^10 - g1^16*t^6.97 + g1^42*t^7.05 + (4*t^7.06)/g1^32 - t^7.14/g1^6 + 2*g1^20*t^7.21 + (2*t^7.3)/g1^28 + t^7.38/g1^2 + g1^24*t^7.46 + g1^50*t^7.53 + (5*t^7.54)/g1^24 + g1^2*t^7.62 + t^7.71/g1^46 + (6*t^7.79)/g1^20 + g1^6*t^7.86 + (2*t^7.95)/g1^42 + t^8.03/g1^16 + 2*g1^10*t^8.11 + (3*t^8.12)/g1^64 + g1^36*t^8.18 - t^8.19/g1^38 + (4*t^8.27)/g1^12 - g1^14*t^8.35 + 2*g1^40*t^8.43 + (3*t^8.44)/g1^34 - (5*t^8.51)/g1^8 + g1^66*t^8.51 + g1^18*t^8.59 + (4*t^8.6)/g1^56 + (2*t^8.68)/g1^30 + (3*t^8.76)/g1^4 + (2*t^8.84)/g1^52 - 5*g1^22*t^8.84 + g1^48*t^8.91 + (5*t^8.92)/g1^26 - t^4.38/(g1^2*y) - t^6.41/(g1^18*y) - t^6.89/(g1^10*y) - t^7.14/(g1^6*y) + (2*t^7.54)/(g1^24*y) + (g1^2*t^7.62)/y + t^7.79/(g1^20*y) + (2*g1^6*t^7.86)/y + (2*t^8.03)/(g1^16*y) + (2*t^8.27)/(g1^12*y) + (3*g1^14*t^8.35)/y - t^8.44/(g1^34*y) + (2*t^8.51)/(g1^8*y) + (g1^18*t^8.59)/y + t^8.68/(g1^30*y) + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.84)/y - (t^4.38*y)/g1^2 - (t^6.41*y)/g1^18 - (t^6.89*y)/g1^10 - (t^7.14*y)/g1^6 + (2*t^7.54*y)/g1^24 + g1^2*t^7.62*y + (t^7.79*y)/g1^20 + 2*g1^6*t^7.86*y + (2*t^8.03*y)/g1^16 + (2*t^8.27*y)/g1^12 + 3*g1^14*t^8.35*y - (t^8.44*y)/g1^34 + (2*t^8.51*y)/g1^8 + g1^18*t^8.59*y + (t^8.68*y)/g1^30 + (2*t^8.76*y)/g1^4 + g1^22*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 2972 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.6813 | 0.8544 | 0.7974 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | t^2.08 + 2*t^2.54 + 2*t^2.77 + t^3. + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 4*t^5.08 + 4*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 23949/35152, c: 30033/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 2973 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.7023 | 0.8948 | 0.7849 | [X:[], M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | t^2.04 + t^2.1 + 2*t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.66 + t^3.72 + 2*t^4.07 + t^4.14 + 2*t^4.2 + t^4.38 + 2*t^4.56 + 2*t^4.62 + t^4.68 + t^4.8 + 2*t^4.86 + t^4.93 + 4*t^5.04 + t^5.1 + 2*t^5.28 + 2*t^5.34 + 2*t^5.52 + t^5.58 + t^5.65 + 3*t^5.76 + t^5.82 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2971 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7007 | 0.8906 | 0.7868 | [X:[], M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | t^2.01 + t^2.25 + 2*t^2.5 + t^2.75 + t^2.87 + t^3. + t^3.63 + t^3.88 + 2*t^4.01 + t^4.24 + t^4.26 + t^4.38 + 3*t^4.51 + t^4.74 + 3*t^4.76 + t^4.87 + 5*t^5.01 + t^5.12 + 3*t^5.25 + 2*t^5.37 + 2*t^5.5 + t^5.62 + t^5.73 + t^5.75 + 2*t^5.88 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 574 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ | 0.7096 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail |