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 |
---|---|---|---|---|---|---|---|---|---|
47181 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ | 0.6791 | 0.8522 | 0.7969 | [X:[], M:[1.1508, 1.0793, 0.8492, 0.762, 0.6905], q:[0.381, 0.4682], qb:[0.5397, 0.7698], phi:[0.4603]] | [X:[], M:[[-5], [4], [5], [-12], [-3]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_5\phi_1q_1^2$, $ M_2M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4\phi_1q_1^2$ | $M_5\tilde{q}_1\tilde{q}_2$ | 0 | t^2.07 + t^2.29 + t^2.55 + t^2.76 + t^3.02 + t^3.24 + t^3.45 + t^3.67 + t^3.93 + 2*t^4.14 + t^4.19 + t^4.36 + t^4.4 + t^4.57 + 2*t^4.62 + 2*t^4.83 + t^5.05 + 2*t^5.1 + 3*t^5.31 + 2*t^5.52 + t^5.57 + t^5.74 + t^5.79 + t^5.95 + t^6.05 + 3*t^6.21 + t^6.26 + 3*t^6.43 + 2*t^6.48 + t^6.64 + 4*t^6.69 + t^6.74 + t^6.86 + 3*t^6.9 + 2*t^6.95 + 2*t^7.12 + 2*t^7.17 + t^7.21 + 2*t^7.33 + 3*t^7.38 + t^7.43 + 4*t^7.6 + 2*t^7.64 + 3*t^7.81 + 2*t^7.86 + t^8.02 + t^8.07 + 2*t^8.12 + t^8.24 + 2*t^8.29 + 2*t^8.33 + t^8.38 + 3*t^8.5 + 2*t^8.59 + 3*t^8.71 + 3*t^8.76 + 2*t^8.81 + t^8.93 + 4*t^8.98 - t^4.38/y - t^6.45/y - t^6.67/y + t^7.36/y + t^7.62/y + (2*t^7.83)/y + t^8.05/y + (2*t^8.1)/y + (4*t^8.31)/y + t^8.52/y + t^8.57/y + t^8.74/y + (2*t^8.79)/y - t^4.38*y - t^6.45*y - t^6.67*y + t^7.36*y + t^7.62*y + 2*t^7.83*y + t^8.05*y + 2*t^8.1*y + 4*t^8.31*y + t^8.52*y + t^8.57*y + t^8.74*y + 2*t^8.79*y | t^2.07/g1^3 + t^2.29/g1^12 + g1^5*t^2.55 + t^2.76/g1^4 + g1^13*t^3.02 + g1^4*t^3.24 + t^3.45/g1^5 + t^3.67/g1^14 + g1^3*t^3.93 + (2*t^4.14)/g1^6 + g1^20*t^4.19 + t^4.36/g1^15 + g1^11*t^4.4 + t^4.57/g1^24 + 2*g1^2*t^4.62 + (2*t^4.83)/g1^7 + t^5.05/g1^16 + 2*g1^10*t^5.1 + 3*g1*t^5.31 + (2*t^5.52)/g1^8 + g1^18*t^5.57 + t^5.74/g1^17 + g1^9*t^5.79 + t^5.95/g1^26 + g1^26*t^6.05 + (3*t^6.21)/g1^9 + g1^17*t^6.26 + (3*t^6.43)/g1^18 + 2*g1^8*t^6.48 + t^6.64/g1^27 + (4*t^6.69)/g1 + g1^25*t^6.74 + t^6.86/g1^36 + (3*t^6.9)/g1^10 + 2*g1^16*t^6.95 + (2*t^7.12)/g1^19 + 2*g1^7*t^7.17 + g1^33*t^7.21 + (2*t^7.33)/g1^28 + (3*t^7.38)/g1^2 + g1^24*t^7.43 + (4*t^7.6)/g1^11 + 2*g1^15*t^7.64 + (3*t^7.81)/g1^20 + 2*g1^6*t^7.86 + t^8.02/g1^29 + t^8.07/g1^3 + 2*g1^23*t^8.12 + t^8.24/g1^38 + (2*t^8.29)/g1^12 + 2*g1^14*t^8.33 + g1^40*t^8.38 + (3*t^8.5)/g1^21 + 2*g1^31*t^8.59 + (3*t^8.71)/g1^30 + (3*t^8.76)/g1^4 + 2*g1^22*t^8.81 + t^8.93/g1^39 + (4*t^8.98)/g1^13 - t^4.38/(g1^2*y) - t^6.45/(g1^5*y) - t^6.67/(g1^14*y) + t^7.36/(g1^15*y) + (g1^2*t^7.62)/y + (2*t^7.83)/(g1^7*y) + t^8.05/(g1^16*y) + (2*g1^10*t^8.1)/y + (4*g1*t^8.31)/y + t^8.52/(g1^8*y) + (g1^18*t^8.57)/y + t^8.74/(g1^17*y) + (2*g1^9*t^8.79)/y - (t^4.38*y)/g1^2 - (t^6.45*y)/g1^5 - (t^6.67*y)/g1^14 + (t^7.36*y)/g1^15 + g1^2*t^7.62*y + (2*t^7.83*y)/g1^7 + (t^8.05*y)/g1^16 + 2*g1^10*t^8.1*y + 4*g1*t^8.31*y + (t^8.52*y)/g1^8 + g1^18*t^8.57*y + (t^8.74*y)/g1^17 + 2*g1^9*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
55572 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_6$ | 0.6924 | 0.8752 | 0.7911 | [X:[], M:[1.1558, 1.0754, 0.8442, 0.7738, 0.6935, 0.8442], q:[0.3869, 0.4573], qb:[0.5377, 0.7688], phi:[0.4623]] | t^2.08 + t^2.32 + 2*t^2.53 + t^2.77 + t^2.99 + t^3.23 + t^3.71 + t^3.92 + t^4.13 + 2*t^4.16 + t^4.37 + t^4.4 + 3*t^4.61 + t^4.64 + 3*t^4.85 + 4*t^5.07 + t^5.1 + 4*t^5.31 + 2*t^5.52 + t^5.55 + 2*t^5.76 + t^5.97 - t^6. - t^4.39/y - t^4.39*y | detail | |
53796 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4M_6$ | 0.661 | 0.8205 | 0.8057 | [X:[], M:[1.1596, 1.0724, 0.8404, 0.7829, 0.6957, 1.2171], q:[0.3915, 0.449], qb:[0.5362, 0.7681], phi:[0.4638]] | t^2.09 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^3.65 + t^3.74 + t^3.91 + t^4.09 + 2*t^4.17 + t^4.35 + 2*t^4.61 + t^4.87 + 2*t^5.04 + 2*t^5.3 + t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^4.39/y - t^4.39*y | detail | |
55583 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ | 0.679 | 0.8521 | 0.7969 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.6923], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 2*t^5.77 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 459/676, c: 144/169, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 9/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
55498 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^2$ | 0.6719 | 0.8403 | 0.7997 | [X:[], M:[1.1556, 1.0755, 0.8444, 0.7735, 0.6934, 1.0755], q:[0.3868, 0.4576], qb:[0.5377, 0.7689], phi:[0.4623]] | t^2.08 + t^2.32 + t^2.53 + t^2.99 + 2*t^3.23 + t^3.47 + t^3.71 + t^3.92 + t^4.13 + 2*t^4.16 + t^4.37 + t^4.4 + 2*t^4.61 + t^4.64 + t^4.85 + 2*t^5.07 + 3*t^5.31 + t^5.52 + 2*t^5.55 + t^5.76 + t^5.79 + t^5.97 - t^6. - t^4.39/y - t^4.39*y | detail | |
55640 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6997 | 0.8922 | 0.7843 | [X:[], M:[1.1503, 1.0797, 0.8497, 0.7608, 0.6902, 0.6902], q:[0.3804, 0.4693], qb:[0.5399, 0.7699], phi:[0.4601]] | 2*t^2.07 + t^2.28 + t^2.55 + t^2.76 + t^3.03 + t^3.24 + t^3.45 + t^3.66 + 4*t^4.14 + t^4.2 + 2*t^4.35 + t^4.41 + t^4.56 + 3*t^4.62 + 3*t^4.83 + t^5.04 + 3*t^5.1 + 4*t^5.31 + 3*t^5.52 + t^5.58 + 2*t^5.73 + t^5.79 + t^5.94 - 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46725 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6584 | 0.8122 | 0.8107 | [X:[], M:[1.1514, 1.0789, 0.8486, 0.7633], q:[0.3816, 0.467], qb:[0.5395, 0.7697], phi:[0.4605]] | t^2.29 + t^2.55 + t^2.76 + t^3.02 + t^3.24 + t^3.45 + t^3.67 + 2*t^3.93 + t^4.14 + t^4.18 + t^4.4 + t^4.58 + t^4.62 + t^4.84 + t^5.05 + t^5.09 + 2*t^5.31 + t^5.53 + t^5.57 + t^5.78 + t^5.96 - t^6. - t^4.38/y - t^4.38*y | detail |