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 |
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3029 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6654 | 0.8297 | 0.8019 | [X:[], M:[1.1705, 1.0814, 0.9631, 0.8295, 0.8295, 0.7558, 1.0369], q:[0.7704, 0.3556], qb:[0.4739, 0.563], phi:[0.4593]] | [X:[], M:[[8], [-4], [10], [-8], [-8], [12], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_6$, $ \phi_1^4$, $ M_4M_7$, $ M_5M_7$, $ M_2M_4$, $ M_2M_5$, $ M_7\phi_1^2$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -2 | t^2.27 + 2*t^2.49 + t^2.76 + t^3.11 + t^3.24 + t^3.38 + t^3.87 + t^4. + t^4.13 + t^4.22 + t^4.49 + t^4.53 + 3*t^4.76 + 3*t^4.98 + t^5.02 + 2*t^5.24 + 2*t^5.51 + 2*t^5.6 + t^5.73 + 3*t^5.87 - 2*t^6. + t^6.13 + t^6.22 + 2*t^6.35 + t^6.4 + 3*t^6.49 + t^6.62 + 2*t^6.71 + t^6.8 + 3*t^6.98 + 2*t^7.02 + 6*t^7.24 + t^7.29 + t^7.33 - t^7.38 + 4*t^7.47 + 3*t^7.51 + t^7.6 - t^7.65 + 2*t^7.73 + 2*t^7.78 + t^7.87 + 2*t^8. + 4*t^8.09 + t^8.13 + t^8.22 - t^8.27 + 5*t^8.35 + t^8.44 - 5*t^8.49 + 3*t^8.62 + t^8.67 + 3*t^8.71 - 2*t^8.76 + 2*t^8.84 + 2*t^8.89 + 6*t^8.98 - t^4.38/y - t^6.65/y - t^6.87/y + (2*t^7.76)/y + t^7.89/y + t^7.98/y + t^8.02/y + t^8.11/y + (2*t^8.24)/y + t^8.38/y + t^8.51/y + (2*t^8.6)/y + t^8.65/y + (2*t^8.73)/y + (3*t^8.87)/y - t^8.91/y - t^4.38*y - t^6.65*y - t^6.87*y + 2*t^7.76*y + t^7.89*y + t^7.98*y + t^8.02*y + t^8.11*y + 2*t^8.24*y + t^8.38*y + t^8.51*y + 2*t^8.6*y + t^8.65*y + 2*t^8.73*y + 3*t^8.87*y - t^8.91*y | g1^12*t^2.27 + (2*t^2.49)/g1^8 + g1^4*t^2.76 + t^3.11/g1^10 + t^3.24/g1^4 + g1^2*t^3.38 + t^3.87/g1^6 + t^4. + g1^6*t^4.13 + t^4.22/g1^20 + t^4.49/g1^8 + g1^24*t^4.53 + 3*g1^4*t^4.76 + (3*t^4.98)/g1^16 + g1^16*t^5.02 + (2*t^5.24)/g1^4 + 2*g1^8*t^5.51 + (2*t^5.6)/g1^18 + t^5.73/g1^12 + (3*t^5.87)/g1^6 - 2*t^6. + g1^6*t^6.13 + t^6.22/g1^20 + (2*t^6.35)/g1^14 + g1^18*t^6.4 + (3*t^6.49)/g1^8 + t^6.62/g1^2 + (2*t^6.71)/g1^28 + g1^36*t^6.8 + (3*t^6.98)/g1^16 + 2*g1^16*t^7.02 + (6*t^7.24)/g1^4 + g1^28*t^7.29 + t^7.33/g1^30 - g1^2*t^7.38 + (4*t^7.47)/g1^24 + 3*g1^8*t^7.51 + t^7.6/g1^18 - g1^14*t^7.65 + (2*t^7.73)/g1^12 + 2*g1^20*t^7.78 + t^7.87/g1^6 + 2*t^8. + (4*t^8.09)/g1^26 + g1^6*t^8.13 + t^8.22/g1^20 - g1^12*t^8.27 + (5*t^8.35)/g1^14 + t^8.44/g1^40 - (5*t^8.49)/g1^8 + (3*t^8.62)/g1^2 + g1^30*t^8.67 + (3*t^8.71)/g1^28 - 2*g1^4*t^8.76 + (2*t^8.84)/g1^22 + 2*g1^10*t^8.89 + (6*t^8.98)/g1^16 - (g1^2*t^4.38)/y - (g1^14*t^6.65)/y - t^6.87/(g1^6*y) + (2*g1^4*t^7.76)/y + (g1^10*t^7.89)/y + t^7.98/(g1^16*y) + (g1^16*t^8.02)/y + t^8.11/(g1^10*y) + (2*t^8.24)/(g1^4*y) + (g1^2*t^8.38)/y + (g1^8*t^8.51)/y + (2*t^8.6)/(g1^18*y) + (g1^14*t^8.65)/y + (2*t^8.73)/(g1^12*y) + (3*t^8.87)/(g1^6*y) - (g1^26*t^8.91)/y - g1^2*t^4.38*y - g1^14*t^6.65*y - (t^6.87*y)/g1^6 + 2*g1^4*t^7.76*y + g1^10*t^7.89*y + (t^7.98*y)/g1^16 + g1^16*t^8.02*y + (t^8.11*y)/g1^10 + (2*t^8.24*y)/g1^4 + g1^2*t^8.38*y + g1^8*t^8.51*y + (2*t^8.6*y)/g1^18 + g1^14*t^8.65*y + (2*t^8.73*y)/g1^12 + (3*t^8.87*y)/g1^6 - g1^26*t^8.91*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1978 | 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_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6701 | 0.8368 | 0.8008 | [X:[], M:[1.148, 1.0927, 0.9349, 0.852, 0.852, 0.7219], q:[0.7732, 0.3472], qb:[0.5049, 0.5602], phi:[0.4537]] | t^2.17 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^3.92 + t^4. + t^4.08 + t^4.33 + t^4.39 + t^4.56 + 3*t^4.72 + t^4.89 + t^4.97 + 3*t^5.11 + 2*t^5.28 + t^5.36 + 2*t^5.44 + t^5.53 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail |