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 |
---|---|---|---|---|---|---|---|---|---|
1169 | 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_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.6683 | 0.8337 | 0.8015 | [X:[], M:[1.1367, 1.0983, 0.9209, 0.8633, 0.8825, 0.7051], q:[0.7746, 0.3429], qb:[0.5204, 0.5588], phi:[0.4508]] | [X:[], M:[[8], [-4], [10], [-8], [-2], [12]], 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_3$, $ M_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_3^2$, $ M_1M_6$, $ M_2M_5$ | . | -1 | t^2.12 + t^2.59 + t^2.65 + t^2.71 + t^2.76 + t^3.29 + t^3.41 + t^3.94 + t^4. + t^4.06 + t^4.23 + t^4.47 + t^4.59 + 2*t^4.71 + t^4.76 + t^4.82 + t^4.88 + t^5.18 + t^5.24 + 2*t^5.29 + t^5.35 + 3*t^5.41 + 2*t^5.53 + t^5.94 - t^6. + 2*t^6.06 + t^6.12 + 2*t^6.17 + t^6.35 + 2*t^6.59 + 2*t^6.71 + t^6.76 + 3*t^6.82 + t^6.88 + t^6.94 + t^6.99 + t^7.06 + t^7.12 + t^7.18 + t^7.24 + t^7.29 + 2*t^7.35 + 3*t^7.41 + 2*t^7.47 + 3*t^7.53 + 2*t^7.64 + t^7.77 + 2*t^7.88 + t^7.94 + 2*t^8. + 2*t^8.06 + t^8.12 + 3*t^8.17 + t^8.23 + 3*t^8.29 + t^8.42 + t^8.46 - t^8.59 - 2*t^8.65 + 2*t^8.71 - 2*t^8.76 + 3*t^8.82 + t^8.88 + 4*t^8.94 + t^8.95 + t^8.99 - t^4.35/y - t^6.47/y - t^7./y - t^7.12/y + t^7.59/y + (2*t^7.71)/y + t^7.76/y + t^7.82/y + t^7.88/y + (2*t^8.24)/y + t^8.29/y + (2*t^8.35)/y + (2*t^8.41)/y + t^8.47/y + t^8.53/y - t^8.58/y + t^8.88/y + t^8.94/y - t^4.35*y - t^6.47*y - t^7.*y - t^7.12*y + t^7.59*y + 2*t^7.71*y + t^7.76*y + t^7.82*y + t^7.88*y + 2*t^8.24*y + t^8.29*y + 2*t^8.35*y + 2*t^8.41*y + t^8.47*y + t^8.53*y - t^8.58*y + t^8.88*y + t^8.94*y | g1^12*t^2.12 + t^2.59/g1^8 + t^2.65/g1^2 + g1^4*t^2.71 + g1^10*t^2.76 + t^3.29/g1^4 + g1^8*t^3.41 + t^3.94/g1^6 + t^4. + g1^6*t^4.06 + g1^24*t^4.23 + t^4.47/g1^20 + t^4.59/g1^8 + 2*g1^4*t^4.71 + g1^10*t^4.76 + g1^16*t^4.82 + g1^22*t^4.88 + t^5.18/g1^16 + t^5.24/g1^10 + (2*t^5.29)/g1^4 + g1^2*t^5.35 + 3*g1^8*t^5.41 + 2*g1^20*t^5.53 + t^5.94/g1^6 - t^6. + 2*g1^6*t^6.06 + g1^12*t^6.12 + 2*g1^18*t^6.17 + g1^36*t^6.35 + (2*t^6.59)/g1^8 + 2*g1^4*t^6.71 + g1^10*t^6.76 + 3*g1^16*t^6.82 + g1^22*t^6.88 + g1^28*t^6.94 + g1^34*t^6.99 + t^7.06/g1^28 + t^7.12/g1^22 + t^7.18/g1^16 + t^7.24/g1^10 + t^7.29/g1^4 + 2*g1^2*t^7.35 + 3*g1^8*t^7.41 + 2*g1^14*t^7.47 + 3*g1^20*t^7.53 + 2*g1^32*t^7.64 + t^7.77/g1^24 + (2*t^7.88)/g1^12 + t^7.94/g1^6 + 2*t^8. + 2*g1^6*t^8.06 + g1^12*t^8.12 + 3*g1^18*t^8.17 + g1^24*t^8.23 + 3*g1^30*t^8.29 + t^8.42/g1^26 + g1^48*t^8.46 - t^8.59/g1^8 - (2*t^8.65)/g1^2 + 2*g1^4*t^8.71 - 2*g1^10*t^8.76 + 3*g1^16*t^8.82 + g1^22*t^8.88 + 4*g1^28*t^8.94 + t^8.95/g1^40 + g1^34*t^8.99 - (g1^2*t^4.35)/y - (g1^14*t^6.47)/y - t^7./y - (g1^12*t^7.12)/y + t^7.59/(g1^8*y) + (2*g1^4*t^7.71)/y + (g1^10*t^7.76)/y + (g1^16*t^7.82)/y + (g1^22*t^7.88)/y + (2*t^8.24)/(g1^10*y) + t^8.29/(g1^4*y) + (2*g1^2*t^8.35)/y + (2*g1^8*t^8.41)/y + (g1^14*t^8.47)/y + (g1^20*t^8.53)/y - (g1^26*t^8.58)/y + t^8.88/(g1^12*y) + t^8.94/(g1^6*y) - g1^2*t^4.35*y - g1^14*t^6.47*y - t^7.*y - g1^12*t^7.12*y + (t^7.59*y)/g1^8 + 2*g1^4*t^7.71*y + g1^10*t^7.76*y + g1^16*t^7.82*y + g1^22*t^7.88*y + (2*t^8.24*y)/g1^10 + (t^8.29*y)/g1^4 + 2*g1^2*t^8.35*y + 2*g1^8*t^8.41*y + g1^14*t^8.47*y + g1^20*t^8.53*y - g1^26*t^8.58*y + (t^8.88*y)/g1^12 + (t^8.94*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
2239 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.681 | 0.8552 | 0.7962 | [X:[], M:[1.1519, 1.0907, 0.9399, 0.8481, 0.8787, 0.7279, 0.8481], q:[0.7727, 0.3486], qb:[0.4994, 0.5607], phi:[0.4546]] | t^2.18 + 2*t^2.54 + t^2.64 + t^2.73 + t^2.82 + t^3.27 + t^3.91 + t^4. + t^4.09 + t^4.36 + t^4.37 + t^4.54 + 3*t^4.73 + t^4.82 + t^4.91 + t^5. + 3*t^5.09 + 2*t^5.18 + 3*t^5.27 + 2*t^5.36 + 3*t^5.46 + t^5.64 + t^5.82 + t^5.91 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
713 | 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_5q_1q_2$ | 0.648 | 0.7954 | 0.8147 | [X:[], M:[1.1448, 1.0943, 0.931, 0.8552, 0.8805], q:[0.7736, 0.346], qb:[0.5093, 0.5598], phi:[0.4529]] | t^2.57 + t^2.64 + t^2.72 + t^2.79 + t^3.28 + t^3.43 + t^3.85 + t^3.92 + t^4. + t^4.08 + t^4.41 + t^4.57 + t^4.72 + t^5.13 + t^5.21 + 2*t^5.28 + t^5.36 + 2*t^5.43 + t^5.59 + t^5.92 - t^6. - t^4.36/y - t^4.36*y | detail |