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 |
---|---|---|---|---|---|---|---|---|---|
53707 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.6702 | 0.8321 | 0.8054 | [X:[], M:[1.1592, 1.0445, 0.8408, 0.7728, 0.7728, 1.0913], q:[0.3864, 0.4543], qb:[0.5691, 0.7728], phi:[0.4543]] | [X:[], M:[[3], [-18], [-3], [2], [2], [8]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_4M_6$, $ M_5M_6$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_1M_5$, $ M_3M_6$ | . | -2 | 2*t^2.32 + t^2.52 + t^3.07 + t^3.13 + t^3.27 + t^3.48 + t^3.89 + t^4.03 + t^4.09 + t^4.23 + t^4.43 + 3*t^4.64 + t^4.78 + 2*t^4.84 + t^5.04 + 2*t^5.39 + t^5.45 + 3*t^5.59 + 2*t^5.8 - 2*t^6. + t^6.14 + t^6.2 + t^6.27 + 2*t^6.34 + 3*t^6.41 + 3*t^6.55 + t^6.61 + 2*t^6.75 - t^6.82 + 4*t^6.96 + 3*t^7.1 + 3*t^7.16 + t^7.22 + 2*t^7.3 + t^7.36 + 2*t^7.5 + t^7.57 + 2*t^7.71 + t^7.77 + t^7.85 + 5*t^7.91 + t^8.05 + 3*t^8.11 + t^8.18 + t^8.26 - 4*t^8.32 + 2*t^8.46 - t^8.52 + 2*t^8.59 + 4*t^8.66 + 2*t^8.73 + t^8.8 + 5*t^8.87 + t^8.93 - t^4.36/y - (2*t^6.68)/y + t^7.23/y - t^7.5/y + t^7.64/y + (2*t^7.84)/y + (2*t^8.04)/y + (2*t^8.39)/y + (2*t^8.45)/y + (3*t^8.59)/y + t^8.66/y + (3*t^8.8)/y - t^4.36*y - 2*t^6.68*y + t^7.23*y - t^7.5*y + t^7.64*y + 2*t^7.84*y + 2*t^8.04*y + 2*t^8.39*y + 2*t^8.45*y + 3*t^8.59*y + t^8.66*y + 3*t^8.8*y | 2*g1^2*t^2.32 + t^2.52/g1^3 + g1^13*t^3.07 + t^3.13/g1^18 + g1^8*t^3.27 + g1^3*t^3.48 + t^3.89/g1^7 + g1^19*t^4.03 + t^4.09/g1^12 + g1^14*t^4.23 + g1^9*t^4.43 + 3*g1^4*t^4.64 + g1^30*t^4.78 + (2*t^4.84)/g1 + t^5.04/g1^6 + 2*g1^15*t^5.39 + t^5.45/g1^16 + 3*g1^10*t^5.59 + 2*g1^5*t^5.8 - 2*t^6. + g1^26*t^6.14 + t^6.2/g1^5 + t^6.27/g1^36 + 2*g1^21*t^6.34 + (3*t^6.41)/g1^10 + 3*g1^16*t^6.55 + t^6.61/g1^15 + 2*g1^11*t^6.75 - t^6.82/g1^20 + 4*g1^6*t^6.96 + 3*g1^32*t^7.1 + 3*g1*t^7.16 + t^7.22/g1^30 + 2*g1^27*t^7.3 + t^7.36/g1^4 + 2*g1^22*t^7.5 + t^7.57/g1^9 + 2*g1^17*t^7.71 + t^7.77/g1^14 + g1^43*t^7.85 + 5*g1^12*t^7.91 + g1^38*t^8.05 + 3*g1^7*t^8.11 + t^8.18/g1^24 + g1^33*t^8.26 - 4*g1^2*t^8.32 + 2*g1^28*t^8.46 - t^8.52/g1^3 + (2*t^8.59)/g1^34 + 4*g1^23*t^8.66 + (2*t^8.73)/g1^8 + g1^49*t^8.8 + 5*g1^18*t^8.87 + t^8.93/g1^13 - t^4.36/(g1^4*y) - (2*t^6.68)/(g1^2*y) + (g1^14*t^7.23)/y - t^7.5/(g1^22*y) + (g1^4*t^7.64)/y + (2*t^7.84)/(g1*y) + (2*t^8.04)/(g1^6*y) + (2*g1^15*t^8.39)/y + (2*t^8.45)/(g1^16*y) + (3*g1^10*t^8.59)/y + t^8.66/(g1^21*y) + (3*g1^5*t^8.8)/y - (t^4.36*y)/g1^4 - (2*t^6.68*y)/g1^2 + g1^14*t^7.23*y - (t^7.5*y)/g1^22 + g1^4*t^7.64*y + (2*t^7.84*y)/g1 + (2*t^8.04*y)/g1^6 + 2*g1^15*t^8.39*y + (2*t^8.45*y)/g1^16 + 3*g1^10*t^8.59*y + (t^8.66*y)/g1^21 + 3*g1^5*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
56477 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.684 | 0.8556 | 0.7995 | [X:[], M:[1.1606, 1.0362, 0.8394, 0.7738, 0.7738, 1.095, 0.8394], q:[0.3869, 0.4525], qb:[0.5769, 0.7738], phi:[0.4525]] | 2*t^2.32 + 2*t^2.52 + t^3.09 + t^3.11 + t^3.29 + t^3.88 + t^4.05 + t^4.07 + t^4.25 + t^4.45 + 3*t^4.64 + t^4.82 + 4*t^4.84 + 3*t^5.04 + 2*t^5.41 + t^5.43 + 4*t^5.61 + t^5.63 + t^5.8 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
56476 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.674 | 0.8371 | 0.8051 | [X:[], M:[1.167, 0.9981, 0.833, 0.778, 0.778, 1.112, 0.9431], q:[0.389, 0.444], qb:[0.6129, 0.778], phi:[0.444]] | 2*t^2.33 + t^2.5 + t^2.83 + t^2.99 + t^3.34 + t^3.5 + t^3.83 + t^4. + t^4.17 + t^4.34 + t^4.5 + 3*t^4.67 + 2*t^4.83 + t^5. + t^5.01 + 2*t^5.16 + 2*t^5.33 + t^5.66 + 2*t^5.67 + t^5.82 + 2*t^5.83 + t^5.99 - 2*t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
48306 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ | 0.6791 | 0.8461 | 0.8026 | [X:[], M:[1.1636, 1.0181, 0.8364, 0.7758, 0.7758], q:[0.3879, 0.4485], qb:[0.594, 0.7758], phi:[0.4485]] | 2*t^2.33 + t^2.51 + t^2.69 + t^3.05 + t^3.13 + t^3.49 + t^3.85 + t^4.04 + t^4.11 + t^4.29 + t^4.47 + 3*t^4.65 + 2*t^4.84 + t^4.91 + 3*t^5.02 + t^5.2 + 2*t^5.38 + 2*t^5.45 + t^5.64 + t^5.75 + 2*t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail |