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 |
---|---|---|---|---|---|---|---|---|---|
2236 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_7$ | 0.6312 | 0.7667 | 0.8233 | [X:[], M:[1.1127, 0.7236, 0.8873, 0.8873, 0.8328, 1.2218, 1.1127], q:[0.8055, 0.5255], qb:[0.3618, 0.7509], phi:[0.3891]] | [X:[], M:[[16], [14], [-16], [-16], [-6], [-4], [16]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ M_3$, $ M_1$, $ M_7$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_1M_2$, $ M_2M_7$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_2M_6$, $ M_5M_7$ | $M_3M_7$ | -1 | t^2.17 + t^2.5 + t^2.66 + 2*t^3.34 + t^3.67 + t^3.83 + t^3.99 + t^4.32 + t^4.34 + t^4.51 + 2*t^4.67 + 2*t^5. + t^5.16 + t^5.51 + t^5.67 + 2*t^5.84 - t^6. + t^6.16 + t^6.33 + t^6.49 + t^6.51 + t^6.66 + 2*t^6.68 + t^6.82 + t^6.84 + t^6.98 + t^7. + 2*t^7.17 + t^7.33 + 2*t^7.49 + 3*t^7.66 + t^7.68 + 2*t^7.84 + t^7.99 + 2*t^8.01 + t^8.15 - 2*t^8.17 + t^8.31 + 3*t^8.33 - 2*t^8.5 + t^8.64 - t^8.66 + t^8.68 + t^8.83 + t^8.85 + t^8.99 - t^4.17/y - t^6.34/y - t^6.67/y + (2*t^7.67)/y + t^7.83/y + t^8./y + t^8.16/y + t^8.51/y + (2*t^8.84)/y - t^4.17*y - t^6.34*y - t^6.67*y + 2*t^7.67*y + t^7.83*y + t^8.*y + t^8.16*y + t^8.51*y + 2*t^8.84*y | g1^14*t^2.17 + t^2.5/g1^6 + t^2.66/g1^16 + 2*g1^16*t^3.34 + t^3.67/g1^4 + t^3.83/g1^14 + t^3.99/g1^24 + t^4.32/g1^44 + g1^28*t^4.34 + g1^18*t^4.51 + 2*g1^8*t^4.67 + (2*t^5.)/g1^12 + t^5.16/g1^22 + g1^30*t^5.51 + g1^20*t^5.67 + 2*g1^10*t^5.84 - t^6. + t^6.16/g1^10 + t^6.33/g1^20 + t^6.49/g1^30 + g1^42*t^6.51 + t^6.66/g1^40 + 2*g1^32*t^6.68 + t^6.82/g1^50 + g1^22*t^6.84 + t^6.98/g1^60 + g1^12*t^7. + 2*g1^2*t^7.17 + t^7.33/g1^8 + (2*t^7.49)/g1^18 + (3*t^7.66)/g1^28 + g1^44*t^7.68 + 2*g1^34*t^7.84 + t^7.99/g1^48 + 2*g1^24*t^8.01 + t^8.15/g1^58 - 2*g1^14*t^8.17 + t^8.31/g1^68 + 3*g1^4*t^8.33 - (2*t^8.5)/g1^6 + t^8.64/g1^88 - t^8.66/g1^16 + g1^56*t^8.68 + t^8.83/g1^26 + g1^46*t^8.85 + t^8.99/g1^36 - (g1^2*t^4.17)/y - (g1^16*t^6.34)/y - t^6.67/(g1^4*y) + (2*g1^8*t^7.67)/y + t^7.83/(g1^2*y) + t^8./(g1^12*y) + t^8.16/(g1^22*y) + (g1^30*t^8.51)/y + (2*g1^10*t^8.84)/y - g1^2*t^4.17*y - g1^16*t^6.34*y - (t^6.67*y)/g1^4 + 2*g1^8*t^7.67*y + (t^7.83*y)/g1^2 + (t^8.*y)/g1^12 + (t^8.16*y)/g1^22 + g1^30*t^8.51*y + 2*g1^10*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
4234 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_4M_7$ + $ M_8q_1q_2$ | 0.6521 | 0.8082 | 0.8068 | [X:[], M:[1.1123, 0.7233, 0.8877, 0.8877, 0.8329, 1.2219, 1.1123, 0.6685], q:[0.8055, 0.526], qb:[0.3616, 0.7507], phi:[0.389]] | t^2.01 + t^2.17 + t^2.5 + t^2.66 + 2*t^3.34 + t^3.67 + t^3.83 + t^4.01 + t^4.18 + t^4.32 + t^4.34 + 2*t^4.5 + 3*t^4.67 + 2*t^5. + t^5.16 + 2*t^5.34 + t^5.51 + 2*t^5.67 + 3*t^5.84 - t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
1189 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6421 | 0.7861 | 0.8168 | [X:[], M:[1.1304, 0.7391, 0.8696, 0.8696, 0.8261, 1.2174], q:[0.8044, 0.5001], qb:[0.3695, 0.7608], phi:[0.3913]] | t^2.22 + t^2.48 + 2*t^2.61 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.17 + t^4.43 + t^4.57 + 2*t^4.7 + t^4.83 + 2*t^4.96 + 2*t^5.09 + 2*t^5.22 + t^5.74 + t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail |