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 |
|---|---|---|---|---|---|---|---|---|---|
| 55019 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.6261 | 0.8118 | 0.7712 | [X:[], M:[1.0287, 0.9427, 1.0, 1.0287, 0.7428, 0.7142], q:[0.5287, 0.5287], qb:[0.7572, 0.2428], phi:[0.4857]] | [X:[], M:[[-4], [8], [0], [-4], [1], [5]], q:[[-4], [-4]], qb:[[-1], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ M_6q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_6$, $ M_2M_5$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_4M_6$, $ M_1M_5$, $ M_4M_5$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_2M_4$, $ M_6\phi_1q_2\tilde{q}_2$ | $M_5\phi_1q_2\tilde{q}_2$ | -3 | t^2.14 + t^2.23 + 2*t^2.31 + t^2.83 + t^3. + 2*t^3.09 + t^3.77 + t^3.86 + t^4.29 + t^4.37 + 3*t^4.46 + 2*t^4.54 + 6*t^4.63 + t^4.97 + t^5.06 + t^5.14 + 3*t^5.23 + 4*t^5.31 + 4*t^5.4 + t^5.66 + t^5.83 + 2*t^5.91 - 3*t^6. + 4*t^6.09 + 4*t^6.17 + t^6.43 + t^6.51 + 2*t^6.6 + 2*t^6.69 + 5*t^6.77 + 5*t^6.86 + 10*t^6.94 + t^7.11 + t^7.2 + 2*t^7.29 + 3*t^7.37 + 3*t^7.46 + 4*t^7.54 + 7*t^7.63 + 10*t^7.71 + t^7.8 + t^7.88 + t^7.97 + 3*t^8.06 - 2*t^8.14 - 2*t^8.23 - 4*t^8.31 + 8*t^8.4 + t^8.48 + 8*t^8.49 + t^8.57 + 2*t^8.66 + 3*t^8.74 - t^8.83 + 5*t^8.91 - t^4.46/y - t^6.6/y - t^6.69/y - t^7.29/y + (2*t^7.37)/y + (2*t^7.46)/y + t^7.54/y + (2*t^7.63)/y + t^7.97/y + t^8.06/y + (3*t^8.14)/y + (4*t^8.23)/y + (5*t^8.31)/y + (4*t^8.4)/y - t^8.74/y + (2*t^8.91)/y - t^4.46*y - t^6.6*y - t^6.69*y - t^7.29*y + 2*t^7.37*y + 2*t^7.46*y + t^7.54*y + 2*t^7.63*y + t^7.97*y + t^8.06*y + 3*t^8.14*y + 4*t^8.23*y + 5*t^8.31*y + 4*t^8.4*y - t^8.74*y + 2*t^8.91*y | g1^5*t^2.14 + g1*t^2.23 + (2*t^2.31)/g1^3 + g1^8*t^2.83 + t^3. + (2*t^3.09)/g1^4 + t^3.77/g1 + t^3.86/g1^5 + g1^10*t^4.29 + g1^6*t^4.37 + 3*g1^2*t^4.46 + (2*t^4.54)/g1^2 + (6*t^4.63)/g1^6 + g1^13*t^4.97 + g1^9*t^5.06 + g1^5*t^5.14 + 3*g1*t^5.23 + (4*t^5.31)/g1^3 + (4*t^5.4)/g1^7 + g1^16*t^5.66 + g1^8*t^5.83 + 2*g1^4*t^5.91 - 3*t^6. + (4*t^6.09)/g1^4 + (4*t^6.17)/g1^8 + g1^15*t^6.43 + g1^11*t^6.51 + 2*g1^7*t^6.6 + 2*g1^3*t^6.69 + (5*t^6.77)/g1 + (5*t^6.86)/g1^5 + (10*t^6.94)/g1^9 + g1^18*t^7.11 + g1^14*t^7.2 + 2*g1^10*t^7.29 + 3*g1^6*t^7.37 + 3*g1^2*t^7.46 + (4*t^7.54)/g1^2 + (7*t^7.63)/g1^6 + (10*t^7.71)/g1^10 + g1^21*t^7.8 + g1^17*t^7.88 + g1^13*t^7.97 + 3*g1^9*t^8.06 - 2*g1^5*t^8.14 - 2*g1*t^8.23 - (4*t^8.31)/g1^3 + (8*t^8.4)/g1^7 + g1^24*t^8.48 + (8*t^8.49)/g1^11 + g1^20*t^8.57 + 2*g1^16*t^8.66 + 3*g1^12*t^8.74 - g1^8*t^8.83 + 5*g1^4*t^8.91 - (g1^2*t^4.46)/y - (g1^7*t^6.6)/y - (g1^3*t^6.69)/y - (g1^10*t^7.29)/y + (2*g1^6*t^7.37)/y + (2*g1^2*t^7.46)/y + t^7.54/(g1^2*y) + (2*t^7.63)/(g1^6*y) + (g1^13*t^7.97)/y + (g1^9*t^8.06)/y + (3*g1^5*t^8.14)/y + (4*g1*t^8.23)/y + (5*t^8.31)/(g1^3*y) + (4*t^8.4)/(g1^7*y) - (g1^12*t^8.74)/y + (2*g1^4*t^8.91)/y - g1^2*t^4.46*y - g1^7*t^6.6*y - g1^3*t^6.69*y - g1^10*t^7.29*y + 2*g1^6*t^7.37*y + 2*g1^2*t^7.46*y + (t^7.54*y)/g1^2 + (2*t^7.63*y)/g1^6 + g1^13*t^7.97*y + g1^9*t^8.06*y + 3*g1^5*t^8.14*y + 4*g1*t^8.23*y + (5*t^8.31*y)/g1^3 + (4*t^8.4*y)/g1^7 - g1^12*t^8.74*y + 2*g1^4*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 |
|---|---|---|---|---|---|---|---|---|
| 56701 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_2M_6$ | 0.599 | 0.7913 | 0.757 | [X:[], M:[0.9231, 1.1538, 1.0, 0.9231, 0.7692, 0.8462], q:[0.4231, 0.4231], qb:[0.7308, 0.2692], phi:[0.5385]] | 2*t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + 2*t^3.46 + t^3.69 + 6*t^4.15 + 2*t^4.38 + 3*t^4.62 + 5*t^4.85 + 5*t^5.08 + 3*t^5.31 + 5*t^5.54 + 5*t^5.77 - 2*t^6. - t^4.62/y - t^4.62*y | detail | {a: 21057/35152, c: 27817/35152, M1: 12/13, M2: 15/13, M3: 1, M4: 12/13, M5: 10/13, M6: 11/13, q1: 11/26, q2: 11/26, qb1: 19/26, qb2: 7/26, phi1: 7/13} |
| 56708 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_5M_7$ | 0.6068 | 0.7766 | 0.7814 | [X:[], M:[1.0268, 0.9464, 1.0, 1.0268, 0.7433, 0.7165, 1.2567], q:[0.5268, 0.5268], qb:[0.7567, 0.2433], phi:[0.4866]] | t^2.15 + 2*t^2.31 + t^2.84 + t^3. + 2*t^3.08 + 2*t^3.77 + t^3.85 + t^4.3 + 2*t^4.46 + 6*t^4.62 + t^4.99 + t^5.15 + 2*t^5.23 + 2*t^5.31 + 4*t^5.39 + t^5.68 + t^5.84 + 3*t^5.92 - 4*t^6. - t^4.46/y - t^4.46*y | detail | |
| 56707 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_6M_7$ | 0.606 | 0.7748 | 0.7821 | [X:[], M:[1.0215, 0.957, 1.0, 1.0215, 0.7446, 0.7231, 1.2769], q:[0.5215, 0.5215], qb:[0.7554, 0.2446], phi:[0.4892]] | t^2.23 + 2*t^2.3 + t^2.87 + t^3. + 2*t^3.06 + t^3.77 + 2*t^3.83 + t^4.47 + 2*t^4.53 + 6*t^4.6 + t^5.1 + t^5.23 + 4*t^5.3 + 4*t^5.36 + t^5.74 + t^5.87 + t^5.94 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 56709 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6454 | 0.8471 | 0.7619 | [X:[], M:[1.0305, 0.939, 1.0, 1.0305, 0.7424, 0.7119, 0.7424], q:[0.5305, 0.5305], qb:[0.7576, 0.2424], phi:[0.4847]] | t^2.14 + 2*t^2.23 + 2*t^2.32 + t^2.82 + t^3. + 2*t^3.09 + t^3.86 + t^4.27 + 2*t^4.36 + 5*t^4.45 + 4*t^4.55 + 6*t^4.64 + t^4.95 + 2*t^5.04 + t^5.14 + 4*t^5.23 + 6*t^5.32 + 4*t^5.41 + t^5.63 + t^5.82 + t^5.91 - 4*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56710 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ | 0.6464 | 0.8501 | 0.7604 | [X:[], M:[1.0339, 0.9322, 1.0, 1.0339, 0.7415, 0.7076, 0.7076], q:[0.5339, 0.5339], qb:[0.7585, 0.2415], phi:[0.483]] | 2*t^2.12 + t^2.22 + 2*t^2.33 + t^2.8 + t^3. + 2*t^3.1 + t^3.78 + 3*t^4.25 + 2*t^4.35 + 5*t^4.45 + 2*t^4.55 + 6*t^4.65 + 2*t^4.92 + t^5.02 + 2*t^5.12 + 5*t^5.22 + 4*t^5.33 + 4*t^5.43 + t^5.59 + t^5.8 + 3*t^5.9 - 4*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47014 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6266 | 0.8144 | 0.7694 | [X:[], M:[1.0266, 0.9468, 1.0, 1.0266, 0.7278, 0.7012], q:[0.5421, 0.5111], qb:[0.7567, 0.2433], phi:[0.4867]] | t^2.1 + t^2.18 + t^2.26 + t^2.36 + t^2.84 + t^3. + 2*t^3.08 + t^3.72 + t^3.8 + t^4.21 + t^4.29 + 2*t^4.37 + t^4.45 + t^4.46 + 2*t^4.53 + t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.1 + 3*t^5.18 + 3*t^5.26 + 2*t^5.34 + t^5.36 + 2*t^5.44 + t^5.68 + t^5.83 + t^5.84 + t^5.91 + t^5.92 + 2*t^5.99 - 3*t^6. - t^4.46/y - t^4.46*y | detail |