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 |
---|---|---|---|---|---|---|---|---|---|
47098 | 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_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1q_1^2$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]] | [X:[], M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [5, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_4M_6$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_2^2$, $ M_1M_6$, $ M_4M_5$, $ M_2M_6$, $ M_4^2$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_5$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_2M_5$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^6.07 + t^6.16 + t^6.22 + t^6.32 + t^6.39 + t^6.62 + t^6.69 + 2*t^6.77 + t^6.79 + t^6.84 + t^6.86 + 3*t^6.92 + t^6.93 + t^6.99 + t^7.01 + t^7.06 + t^7.07 + 2*t^7.09 + t^7.14 + t^7.16 + t^7.17 + t^7.22 + t^7.23 + 2*t^7.24 + 3*t^7.31 + 3*t^7.39 + t^7.41 + t^7.46 + 2*t^7.47 + t^7.48 + 2*t^7.53 + t^7.54 + t^7.56 + 3*t^7.61 + 2*t^7.63 + 2*t^7.7 + t^7.71 + t^7.76 + 3*t^7.77 + t^7.78 + 2*t^7.84 + t^7.86 + t^7.87 + 2*t^7.91 + t^7.94 + t^7.99 - t^8. + 2*t^8.01 + t^8.06 - 4*t^8.07 + t^8.08 + t^8.09 - 2*t^8.14 + t^8.16 + t^8.17 - t^8.21 + 2*t^8.23 + t^8.24 + t^8.29 + 2*t^8.31 + t^8.33 + t^8.39 + t^8.46 - 2*t^8.47 - 3*t^8.54 - t^8.61 + t^8.63 + t^8.69 + t^8.76 - 2*t^8.77 + t^8.79 - t^8.84 + 2*t^8.85 + t^8.92 - 3*t^8.93 + 3*t^8.99 - t^4.39/y - t^6.46/y - t^6.86/y - t^6.93/y - t^7.16/y + t^7.54/y + (2*t^7.61)/y + (2*t^7.84)/y + t^7.91/y + t^8./y + t^8.01/y + t^8.07/y + t^8.14/y + t^8.24/y + (2*t^8.31)/y + t^8.4/y + t^8.46/y + (2*t^8.47)/y - t^8.53/y + (2*t^8.54)/y + t^8.61/y + t^8.7/y + t^8.77/y + t^8.84/y + t^8.86/y + t^8.93/y - t^4.39*y - t^6.46*y - t^6.86*y - t^6.93*y - t^7.16*y + t^7.54*y + 2*t^7.61*y + 2*t^7.84*y + t^7.91*y + t^8.*y + t^8.01*y + t^8.07*y + t^8.14*y + t^8.24*y + 2*t^8.31*y + t^8.4*y + t^8.46*y + 2*t^8.47*y - t^8.53*y + 2*t^8.54*y + t^8.61*y + t^8.7*y + t^8.77*y + t^8.84*y + t^8.86*y + t^8.93*y | g1^5*t^2.07 + (g2*t^2.47)/g1^6 + t^2.54/g1^4 + t^2.77/g1^2 + (g2*t^2.93)/g1^2 + t^3. + (g1^2*t^3.07)/g2 + g1^2*g2*t^3.39 + g1^10*t^4.14 + (g2*t^4.31)/g1^3 + t^4.39/g1 + (g1*t^4.46)/g2 + (g2*t^4.54)/g1 + g1*t^4.61 + (g2^2*t^4.7)/g1 + g1*g2*t^4.77 + 3*g1^3*t^4.84 + (g1^5*t^4.91)/g2 + (g2^2*t^4.94)/g1^12 + (g1^7*t^4.99)/g2^2 + g1^3*g2*t^5. + (g2*t^5.01)/g1^10 + g1^5*t^5.07 + t^5.08/g1^8 + (g1^7*t^5.14)/g2 + (g2*t^5.24)/g1^8 + t^5.31/g1^6 + (g2^2*t^5.4)/g1^8 + g1^7*g2*t^5.46 + (g2*t^5.47)/g1^6 + (2*t^5.54)/g1^4 + (g2*t^5.7)/g1^4 + t^5.77/g1^2 + t^5.84/g2 + (g2^2*t^5.86)/g1^4 - 2*t^6. - (g1^2*t^6.07)/g2 + g2*t^6.16 + g1^15*t^6.22 + g2^2*t^6.32 + g1^2*g2*t^6.39 + g1^4*g2*t^6.62 + g1^6*t^6.69 + 2*g1^4*g2^2*t^6.77 + (g2^2*t^6.79)/g1^9 + g1^6*g2*t^6.84 + (g2*t^6.86)/g1^7 + 3*g1^8*t^6.92 + t^6.93/g1^5 + (g1^10*t^6.99)/g2 + (g2^2*t^7.01)/g1^7 + (g1^12*t^7.06)/g2^2 + g1^8*g2*t^7.07 + (2*g2*t^7.09)/g1^5 + g1^10*t^7.14 + t^7.16/g1^3 + (g2^3*t^7.17)/g1^7 + (g1^12*t^7.22)/g2 + t^7.23/(g1*g2) + (2*g2^2*t^7.24)/g1^5 + (3*g2*t^7.31)/g1^3 + (3*t^7.39)/g1 + (g2^3*t^7.41)/g1^18 + (g1*t^7.46)/g2 + (2*g2^2*t^7.47)/g1^3 + (g2^2*t^7.48)/g1^16 + (g1^3*t^7.53)/g2^2 + g1^12*g2*t^7.53 + (g2*t^7.54)/g1 + (g2*t^7.56)/g1^14 + 3*g1*t^7.61 + t^7.63/g1^12 + (g2^3*t^7.63)/g1^3 + (2*g2^2*t^7.7)/g1 + (g2^2*t^7.71)/g1^14 + (g1^5*t^7.76)/g2^2 + 3*g1*g2*t^7.77 + (g2*t^7.78)/g1^12 + 2*g1^3*t^7.84 + t^7.86/g1^10 + (g2^3*t^7.87)/g1^14 + (2*g1^5*t^7.91)/g2 + (g2^2*t^7.94)/g1^12 + (g1^7*t^7.99)/g2^2 - g1^3*g2*t^8. + (2*g2*t^8.01)/g1^10 + (g1^9*t^8.06)/g2^3 - 4*g1^5*t^8.07 + t^8.08/g1^8 + g1*g2^3*t^8.09 - (2*g1^7*t^8.14)/g2 + g1^3*g2^2*t^8.16 + (g2^2*t^8.17)/g1^10 - (g1^9*t^8.21)/g2^2 + 2*g1^5*g2*t^8.23 + (g2*t^8.24)/g1^8 + g1^20*t^8.29 + (2*t^8.31)/g1^6 + (g2^3*t^8.33)/g1^10 + g1^5*g2^2*t^8.39 + g1^7*g2*t^8.46 - (2*g2*t^8.47)/g1^6 - (3*t^8.54)/g1^4 - t^8.61/(g1^2*g2) + (g2^2*t^8.63)/g1^6 + g1^9*g2*t^8.69 + g1^11*t^8.76 - (2*t^8.77)/g1^2 + (g2^3*t^8.79)/g1^6 - t^8.84/g2 + 2*g1^9*g2^2*t^8.85 + g1^11*g2*t^8.92 - (3*g2*t^8.93)/g1^2 + 3*g1^13*t^8.99 - t^4.39/(g1*y) - (g1^4*t^6.46)/y - (g2*t^6.86)/(g1^7*y) - t^6.93/(g1^5*y) - t^7.16/(g1^3*y) + (g2*t^7.54)/(g1*y) + (2*g1*t^7.61)/y + (2*g1^3*t^7.84)/y + (g1^5*t^7.91)/(g2*y) + (g1^3*g2*t^8.)/y + (g2*t^8.01)/(g1^10*y) + (g1^5*t^8.07)/y + (g1^7*t^8.14)/(g2*y) + (g2*t^8.24)/(g1^8*y) + (2*t^8.31)/(g1^6*y) + (g2^2*t^8.4)/(g1^8*y) + (g1^7*g2*t^8.46)/y + (2*g2*t^8.47)/(g1^6*y) - (g1^9*t^8.53)/y + (2*t^8.54)/(g1^4*y) + t^8.61/(g1^2*g2*y) + (g2*t^8.7)/(g1^4*y) + t^8.77/(g1^2*y) + t^8.84/(g2*y) + (g2^2*t^8.86)/(g1^4*y) + (g2*t^8.93)/(g1^2*y) - (t^4.39*y)/g1 - g1^4*t^6.46*y - (g2*t^6.86*y)/g1^7 - (t^6.93*y)/g1^5 - (t^7.16*y)/g1^3 + (g2*t^7.54*y)/g1 + 2*g1*t^7.61*y + 2*g1^3*t^7.84*y + (g1^5*t^7.91*y)/g2 + g1^3*g2*t^8.*y + (g2*t^8.01*y)/g1^10 + g1^5*t^8.07*y + (g1^7*t^8.14*y)/g2 + (g2*t^8.24*y)/g1^8 + (2*t^8.31*y)/g1^6 + (g2^2*t^8.4*y)/g1^8 + g1^7*g2*t^8.46*y + (2*g2*t^8.47*y)/g1^6 - g1^9*t^8.53*y + (2*t^8.54*y)/g1^4 + (t^8.61*y)/(g1^2*g2) + (g2*t^8.7*y)/g1^4 + (t^8.77*y)/g1^2 + (t^8.84*y)/g2 + (g2^2*t^8.86*y)/g1^4 + (g2*t^8.93*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
50850 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1q_1^2$ + $ M_1M_6$ | 0.6844 | 0.8552 | 0.8003 | [X:[], M:[1.1117, 1.0, 0.8883, 0.6894, 0.8011, 0.8883], q:[0.3447, 0.5436], qb:[0.6553, 0.767], phi:[0.4223]] | t^2.07 + t^2.4 + t^2.53 + 2*t^2.66 + t^3. + t^3.34 + t^3.93 + t^4.14 + 2*t^4.27 + t^4.47 + t^4.53 + 2*t^4.6 + t^4.73 + t^4.81 + t^4.86 + t^4.94 + 3*t^5.07 + 4*t^5.2 + 2*t^5.33 + t^5.4 + 2*t^5.53 + t^5.74 + 2*t^5.87 - t^6. - t^4.27/y - t^4.27*y | detail | |
55694 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1q_1^2$ + $ M_1M_7$ | 0.7401 | 0.9227 | 0.802 | [X:[], M:[1.0065, 1.0, 0.9935, 0.845, 0.8515, 0.6938, 0.9935], q:[0.4225, 0.571], qb:[0.5775, 0.584], phi:[0.4612]] | t^2.08 + t^2.53 + t^2.55 + t^2.77 + 2*t^2.98 + t^3. + t^3.48 + t^4.16 + t^4.36 + t^4.38 + t^4.4 + t^4.62 + t^4.64 + t^4.81 + t^4.83 + 3*t^4.85 + t^4.87 + t^4.89 + 2*t^5.06 + t^5.07 + t^5.08 + t^5.09 + t^5.11 + t^5.3 + t^5.32 + t^5.52 + 3*t^5.53 + t^5.57 + 2*t^5.75 + t^5.77 + 2*t^5.96 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
54581 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1q_1^2$ + $ M_3M_6$ + $ M_5X_1$ | 0.6692 | 0.8294 | 0.8069 | [X:[1.4271], M:[0.8647, 1.0, 1.1353, 0.7083, 0.5729, 0.8647], q:[0.3541, 0.7812], qb:[0.6459, 0.5105], phi:[0.4271]] | t^2.12 + t^2.56 + 2*t^2.59 + t^3. + t^3.41 + t^3.47 + t^3.88 + t^4.25 + 2*t^4.28 + t^4.34 + 2*t^4.69 + t^4.72 + t^4.75 + t^5.12 + 4*t^5.16 + 2*t^5.19 + 2*t^5.56 + t^5.59 + 2*t^5.97 - t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
46450 | 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_5q_2\tilde{q}_1$ + $ M_2^2$ | 0.7203 | 0.8855 | 0.8134 | [X:[], M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]] | t^2.45 + t^2.52 + t^2.76 + t^2.93 + t^3. + t^3.07 + t^3.41 + t^3.9 + t^4.31 + t^4.38 + t^4.45 + t^4.72 + t^4.79 + 2*t^4.86 + t^4.9 + t^4.93 + t^4.97 + t^5. + t^5.04 + t^5.21 + t^5.28 + t^5.38 + t^5.45 + 2*t^5.52 + t^5.69 + t^5.76 + t^5.83 + t^5.86 - 2*t^6. - t^4.38/y - t^4.38*y | detail |