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 |
|---|---|---|---|---|---|---|---|---|---|
| 3063 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6268 | 0.8143 | 0.7698 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [3]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_5M_7$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6M_7$, $ M_7^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_2M_5$, $ M_3M_7$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_7\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_1M_7$, $ \phi_1q_1^3\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -1 | t^2.09 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.84 + t^4.18 + t^4.32 + t^4.39 + 3*t^4.46 + t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^4.95 + t^5.02 + t^5.09 + 3*t^5.16 + 2*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.45 + t^5.72 + t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. + 2*t^6.07 + t^6.14 + t^6.21 + t^6.27 + t^6.41 + t^6.48 + 2*t^6.55 + t^6.63 + 4*t^6.7 + 2*t^6.77 + 5*t^6.84 + 2*t^6.91 + 3*t^6.98 + t^7.04 + 2*t^7.05 + t^7.11 + 2*t^7.12 + t^7.18 + 3*t^7.25 + 2*t^7.32 + 4*t^7.39 + 3*t^7.46 + 4*t^7.54 + 4*t^7.61 + 5*t^7.68 + 2*t^7.75 + t^7.81 + t^7.82 + t^7.88 + 2*t^7.95 + 3*t^8.02 + 3*t^8.16 + t^8.23 + t^8.36 - t^8.37 + t^8.45 + t^8.5 + t^8.52 + 2*t^8.57 + 2*t^8.59 + 3*t^8.64 + 3*t^8.72 + 5*t^8.79 - t^8.86 + 3*t^8.93 - t^4.46/y - t^6.55/y - t^6.77/y + t^7.39/y + t^7.46/y + t^7.54/y + (2*t^7.61)/y + t^7.68/y + t^7.95/y + t^8.02/y + (2*t^8.09)/y + (4*t^8.16)/y + (3*t^8.23)/y + (3*t^8.3)/y + (3*t^8.37)/y + t^8.45/y - t^8.64/y + t^8.79/y + t^8.86/y + (3*t^8.93)/y - t^4.46*y - t^6.55*y - t^6.77*y + t^7.39*y + t^7.46*y + t^7.54*y + 2*t^7.61*y + t^7.68*y + t^7.95*y + t^8.02*y + 2*t^8.09*y + 4*t^8.16*y + 3*t^8.23*y + 3*t^8.3*y + 3*t^8.37*y + t^8.45*y - t^8.64*y + t^8.79*y + t^8.86*y + 3*t^8.93*y | t^2.09/g1^9 + t^2.23/g1 + g1^3*t^2.3 + g1^7*t^2.37 + t^2.86/g1^8 + t^2.93/g1^4 + t^3. + g1^4*t^3.07 + g1*t^3.77 + g1^5*t^3.84 + t^4.18/g1^18 + t^4.32/g1^10 + t^4.39/g1^6 + (3*t^4.46)/g1^2 + g1^2*t^4.54 + 3*g1^6*t^4.61 + g1^10*t^4.68 + 2*g1^14*t^4.75 + t^4.95/g1^17 + t^5.02/g1^13 + t^5.09/g1^9 + (3*t^5.16)/g1^5 + (2*t^5.23)/g1 + 3*g1^3*t^5.3 + 2*g1^7*t^5.37 + g1^11*t^5.45 + t^5.72/g1^16 + t^5.79/g1^12 + (2*t^5.86)/g1^8 + (2*t^5.93)/g1^4 - t^6. + 2*g1^4*t^6.07 + g1^8*t^6.14 + g1^12*t^6.21 + t^6.27/g1^27 + t^6.41/g1^19 + t^6.48/g1^15 + (2*t^6.55)/g1^11 + t^6.63/g1^7 + (4*t^6.7)/g1^3 + 2*g1*t^6.77 + 5*g1^5*t^6.84 + 2*g1^9*t^6.91 + 3*g1^13*t^6.98 + t^7.04/g1^26 + 2*g1^17*t^7.05 + t^7.11/g1^22 + 2*g1^21*t^7.12 + t^7.18/g1^18 + (3*t^7.25)/g1^14 + (2*t^7.32)/g1^10 + (4*t^7.39)/g1^6 + (3*t^7.46)/g1^2 + 4*g1^2*t^7.54 + 4*g1^6*t^7.61 + 5*g1^10*t^7.68 + 2*g1^14*t^7.75 + t^7.81/g1^25 + g1^18*t^7.82 + t^7.88/g1^21 + (2*t^7.95)/g1^17 + (3*t^8.02)/g1^13 + (3*t^8.16)/g1^5 + t^8.23/g1 + t^8.36/g1^36 - g1^7*t^8.37 + g1^11*t^8.45 + t^8.5/g1^28 + g1^15*t^8.52 + (2*t^8.57)/g1^24 + 2*g1^19*t^8.59 + (3*t^8.64)/g1^20 + (3*t^8.72)/g1^16 + (5*t^8.79)/g1^12 - t^8.86/g1^8 + (3*t^8.93)/g1^4 - t^4.46/(g1^2*y) - t^6.55/(g1^11*y) - (g1*t^6.77)/y + t^7.39/(g1^6*y) + t^7.46/(g1^2*y) + (g1^2*t^7.54)/y + (2*g1^6*t^7.61)/y + (g1^10*t^7.68)/y + t^7.95/(g1^17*y) + t^8.02/(g1^13*y) + (2*t^8.09)/(g1^9*y) + (4*t^8.16)/(g1^5*y) + (3*t^8.23)/(g1*y) + (3*g1^3*t^8.3)/y + (3*g1^7*t^8.37)/y + (g1^11*t^8.45)/y - t^8.64/(g1^20*y) + t^8.79/(g1^12*y) + t^8.86/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.55*y)/g1^11 - g1*t^6.77*y + (t^7.39*y)/g1^6 + (t^7.46*y)/g1^2 + g1^2*t^7.54*y + 2*g1^6*t^7.61*y + g1^10*t^7.68*y + (t^7.95*y)/g1^17 + (t^8.02*y)/g1^13 + (2*t^8.09*y)/g1^9 + (4*t^8.16*y)/g1^5 + (3*t^8.23*y)/g1 + 3*g1^3*t^8.3*y + 3*g1^7*t^8.37*y + g1^11*t^8.45*y - (t^8.64*y)/g1^20 + (t^8.79*y)/g1^12 + (t^8.86*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4968 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_2M_8$ | 0.6295 | 0.819 | 0.7686 | [X:[], M:[1.0, 1.0329, 0.9342, 1.2582, 0.676, 0.7418, 0.7747, 0.9671], q:[0.2418, 0.7582], qb:[0.5, 0.5658], phi:[0.4835]] | t^2.03 + t^2.23 + t^2.32 + t^2.42 + t^2.8 + 2*t^2.9 + t^3. + t^3.77 + t^3.87 + t^4.06 + t^4.25 + t^4.35 + 3*t^4.45 + t^4.55 + 3*t^4.65 + t^4.75 + t^4.83 + 2*t^4.85 + 2*t^4.93 + t^5.03 + 3*t^5.13 + 3*t^5.23 + 3*t^5.32 + t^5.42 + t^5.61 + 2*t^5.7 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4966 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_5X_1$ | 0.5877 | 0.7468 | 0.787 | [X:[1.4545], M:[1.0, 1.0909, 0.8182, 1.2727, 0.5455, 0.7273, 0.8182], q:[0.2273, 0.7727], qb:[0.5, 0.6818], phi:[0.4545]] | t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 6*t^4.91 + 4*t^5.18 + 6*t^5.45 + 3*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 3129/5324, c: 994/1331, X1: 16/11, M1: 1, M2: 12/11, M3: 9/11, M4: 14/11, M5: 6/11, M6: 8/11, M7: 9/11, q1: 5/22, q2: 17/22, qb1: 1/2, qb2: 15/22, phi1: 5/11} |
| 4963 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ + $ M_3X_2$ | 0.4782 | 0.597 | 0.8011 | [X:[1.7, 1.4], M:[1.0, 1.2, 0.6, 1.3, 0.3, 0.7, 0.9], q:[0.2, 0.8], qb:[0.5, 0.9], phi:[0.4]] | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + t^4.8 + t^5.1 + 3*t^5.4 + 2*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15303/32000, c: 19103/32000, X1: 17/10, X2: 7/5, M1: 1, M2: 6/5, M3: 3/5, M4: 13/10, M5: 3/10, M6: 7/10, M7: 9/10, q1: 1/5, q2: 4/5, qb1: 1/2, qb2: 9/10, phi1: 2/5} |
| 4969 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.647 | 0.8522 | 0.7592 | [X:[], M:[1.0, 1.0269, 0.9462, 1.2567, 0.6895, 0.7433, 0.7702, 0.7164], q:[0.2433, 0.7567], qb:[0.5, 0.5538], phi:[0.4865]] | t^2.07 + t^2.15 + t^2.23 + t^2.31 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.77 + t^4.14 + t^4.22 + 2*t^4.3 + 2*t^4.38 + 4*t^4.46 + 2*t^4.54 + 3*t^4.62 + t^4.7 + 2*t^4.78 + t^4.91 + 2*t^4.99 + 2*t^5.07 + 4*t^5.15 + 3*t^5.23 + 3*t^5.31 + 2*t^5.39 + t^5.47 + t^5.68 + t^5.76 + 2*t^5.84 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 4967 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ + $ M_8\phi_1q_1^2$ | 0.6251 | 0.8117 | 0.7701 | [X:[], M:[1.0, 1.0144, 0.9712, 1.2536, 0.7176, 0.7464, 0.7608, 1.0144], q:[0.2464, 0.7536], qb:[0.5, 0.5288], phi:[0.4928]] | t^2.15 + t^2.24 + t^2.28 + t^2.33 + t^2.91 + t^3. + 2*t^3.04 + t^3.76 + t^3.8 + t^4.31 + t^4.39 + t^4.44 + 3*t^4.48 + t^4.52 + 3*t^4.56 + t^4.61 + 2*t^4.65 + t^5.07 + t^5.15 + 3*t^5.2 + t^5.24 + 3*t^5.28 + 3*t^5.33 + 2*t^5.37 + t^5.83 + t^5.91 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |