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 |
---|---|---|---|---|---|---|---|---|---|
2892 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.625 | 0.8101 | 0.7715 | [X:[], M:[1.0, 1.0193, 0.9615, 1.0193, 0.7548, 0.7356], q:[0.7548, 0.2452], qb:[0.5096, 0.5289], phi:[0.4904]] | [X:[], M:[[0], [4], [-8], [4], [1], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_5$, $ M_2M_6$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_3$ | . | -2 | t^2.21 + 2*t^2.26 + t^2.32 + t^2.88 + t^3. + 2*t^3.06 + t^3.79 + t^3.85 + t^4.41 + 2*t^4.47 + 5*t^4.53 + 3*t^4.59 + 2*t^4.64 + t^5.09 + t^5.15 + t^5.21 + 4*t^5.26 + 5*t^5.32 + 2*t^5.38 + t^5.77 + t^5.88 - 2*t^6. + 3*t^6.06 + 5*t^6.12 + t^6.17 + t^6.68 + 3*t^6.74 + 6*t^6.79 + 8*t^6.85 + 6*t^6.91 + 2*t^6.97 + t^7.3 + t^7.36 + 2*t^7.41 + t^7.47 + 5*t^7.53 + 10*t^7.59 + 7*t^7.64 + 4*t^7.7 + t^7.98 + t^8.03 + t^8.09 + t^8.15 - 4*t^8.21 - 6*t^8.26 + 3*t^8.32 + 9*t^8.38 + 6*t^8.44 + 2*t^8.5 + t^8.65 + t^8.77 + t^8.83 - 2*t^8.88 + t^8.94 - t^4.47/y - t^6.68/y - t^6.74/y - t^7.36/y + t^7.41/y + (2*t^7.47)/y + t^7.53/y + (3*t^7.59)/y + t^8.09/y + (2*t^8.15)/y + (3*t^8.21)/y + (5*t^8.26)/y + (5*t^8.32)/y + (2*t^8.38)/y + t^8.94/y - t^4.47*y - t^6.68*y - t^6.74*y - t^7.36*y + t^7.41*y + 2*t^7.47*y + t^7.53*y + 3*t^7.59*y + t^8.09*y + 2*t^8.15*y + 3*t^8.21*y + 5*t^8.26*y + 5*t^8.32*y + 2*t^8.38*y + t^8.94*y | t^2.21/g1^3 + 2*g1*t^2.26 + g1^5*t^2.32 + t^2.88/g1^8 + t^3. + 2*g1^4*t^3.06 + g1^3*t^3.79 + g1^7*t^3.85 + t^4.41/g1^6 + (2*t^4.47)/g1^2 + 5*g1^2*t^4.53 + 3*g1^6*t^4.59 + 2*g1^10*t^4.64 + t^5.09/g1^11 + t^5.15/g1^7 + t^5.21/g1^3 + 4*g1*t^5.26 + 5*g1^5*t^5.32 + 2*g1^9*t^5.38 + t^5.77/g1^16 + t^5.88/g1^8 - 2*t^6. + 3*g1^4*t^6.06 + 5*g1^8*t^6.12 + g1^12*t^6.17 + t^6.68/g1^5 + (3*t^6.74)/g1 + 6*g1^3*t^6.79 + 8*g1^7*t^6.85 + 6*g1^11*t^6.91 + 2*g1^15*t^6.97 + t^7.3/g1^14 + t^7.36/g1^10 + (2*t^7.41)/g1^6 + t^7.47/g1^2 + 5*g1^2*t^7.53 + 10*g1^6*t^7.59 + 7*g1^10*t^7.64 + 4*g1^14*t^7.7 + t^7.98/g1^19 + t^8.03/g1^15 + t^8.09/g1^11 + t^8.15/g1^7 - (4*t^8.21)/g1^3 - 6*g1*t^8.26 + 3*g1^5*t^8.32 + 9*g1^9*t^8.38 + 6*g1^13*t^8.44 + 2*g1^17*t^8.5 + t^8.65/g1^24 + t^8.77/g1^16 + t^8.83/g1^12 - (2*t^8.88)/g1^8 + t^8.94/g1^4 - t^4.47/(g1^2*y) - t^6.68/(g1^5*y) - t^6.74/(g1*y) - t^7.36/(g1^10*y) + t^7.41/(g1^6*y) + (2*t^7.47)/(g1^2*y) + (g1^2*t^7.53)/y + (3*g1^6*t^7.59)/y + t^8.09/(g1^11*y) + (2*t^8.15)/(g1^7*y) + (3*t^8.21)/(g1^3*y) + (5*g1*t^8.26)/y + (5*g1^5*t^8.32)/y + (2*g1^9*t^8.38)/y + t^8.94/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.68*y)/g1^5 - (t^6.74*y)/g1 - (t^7.36*y)/g1^10 + (t^7.41*y)/g1^6 + (2*t^7.47*y)/g1^2 + g1^2*t^7.53*y + 3*g1^6*t^7.59*y + (t^8.09*y)/g1^11 + (2*t^8.15*y)/g1^7 + (3*t^8.21*y)/g1^3 + 5*g1*t^8.26*y + 5*g1^5*t^8.32*y + 2*g1^9*t^8.38*y + (t^8.94*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3464 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6M_7$ | 0.6055 | 0.7749 | 0.7813 | [X:[], M:[1.0, 1.0141, 0.9717, 1.0141, 0.7535, 0.7394, 1.2606], q:[0.7535, 0.2465], qb:[0.5071, 0.5212], phi:[0.4929]] | 2*t^2.26 + t^2.3 + t^2.92 + t^3. + 2*t^3.04 + 2*t^3.78 + t^3.82 + 4*t^4.52 + 3*t^4.56 + 2*t^4.61 + t^5.18 + 2*t^5.26 + 5*t^5.3 + 2*t^5.35 + t^5.83 + t^5.92 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
3465 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6447 | 0.8459 | 0.7621 | [X:[], M:[1.0, 1.0239, 0.9521, 1.0239, 0.756, 0.732, 0.732], q:[0.756, 0.244], qb:[0.512, 0.5359], phi:[0.488]] | 2*t^2.2 + 2*t^2.27 + t^2.34 + t^2.86 + t^3. + 2*t^3.07 + t^3.88 + 3*t^4.39 + 4*t^4.46 + 6*t^4.54 + 3*t^4.61 + 2*t^4.68 + 2*t^5.05 + t^5.12 + 2*t^5.2 + 6*t^5.27 + 5*t^5.34 + 2*t^5.41 + t^5.71 + t^5.86 - 3*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
1878 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6266 | 0.8144 | 0.7694 | [X:[], M:[1.0, 1.0266, 0.9468, 1.0266, 0.7278, 0.7012], q:[0.7567, 0.2433], qb:[0.5421, 0.5111], phi:[0.4867]] | t^2.1 + t^2.18 + t^2.26 + t^2.36 + t^2.84 + t^3. + 2*t^3.08 + t^3.72 + t^3.8 + t^4.21 + t^4.29 + 2*t^4.37 + t^4.45 + t^4.46 + 2*t^4.53 + t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.1 + 3*t^5.18 + 3*t^5.26 + 2*t^5.34 + t^5.36 + 2*t^5.44 + t^5.68 + t^5.83 + t^5.84 + t^5.91 + t^5.92 + 2*t^5.99 - 3*t^6. - t^4.46/y - t^4.46*y | detail |