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 |
---|---|---|---|---|---|---|---|---|---|
50843 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ | 0.625 | 0.8101 | 0.7715 | [X:[], M:[1.0193, 0.9615, 1.0, 1.0193, 0.7356, 0.7548], q:[0.5096, 0.5289], qb:[0.7548, 0.2452], phi:[0.4904]] | [X:[], M:[[-4], [8], [0], [-4], [3], [-1]], q:[[-2], [-6]], qb:[[-1], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_6$, $ M_5q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1^2$, $ M_6q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_5$, $ M_2M_6$, $ M_3M_5$, $ M_1M_5$, $ M_4M_5$, $ M_3M_6$, $ M_3q_1\tilde{q}_2$, $ M_1M_6$, $ M_4M_6$, $ M_1q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_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 | g1^3*t^2.21 + (2*t^2.26)/g1 + t^2.32/g1^5 + g1^8*t^2.88 + t^3. + (2*t^3.06)/g1^4 + t^3.79/g1^3 + t^3.85/g1^7 + g1^6*t^4.41 + 2*g1^2*t^4.47 + (5*t^4.53)/g1^2 + (3*t^4.59)/g1^6 + (2*t^4.64)/g1^10 + g1^11*t^5.09 + g1^7*t^5.15 + g1^3*t^5.21 + (4*t^5.26)/g1 + (5*t^5.32)/g1^5 + (2*t^5.38)/g1^9 + g1^16*t^5.77 + g1^8*t^5.88 - 2*t^6. + (3*t^6.06)/g1^4 + (5*t^6.12)/g1^8 + t^6.17/g1^12 + g1^5*t^6.68 + 3*g1*t^6.74 + (6*t^6.79)/g1^3 + (8*t^6.85)/g1^7 + (6*t^6.91)/g1^11 + (2*t^6.97)/g1^15 + g1^14*t^7.3 + g1^10*t^7.36 + 2*g1^6*t^7.41 + g1^2*t^7.47 + (5*t^7.53)/g1^2 + (10*t^7.59)/g1^6 + (7*t^7.64)/g1^10 + (4*t^7.7)/g1^14 + g1^19*t^7.98 + g1^15*t^8.03 + g1^11*t^8.09 + g1^7*t^8.15 - 4*g1^3*t^8.21 - (6*t^8.26)/g1 + (3*t^8.32)/g1^5 + (9*t^8.38)/g1^9 + (6*t^8.44)/g1^13 + (2*t^8.5)/g1^17 + g1^24*t^8.65 + g1^16*t^8.77 + g1^12*t^8.83 - 2*g1^8*t^8.88 + g1^4*t^8.94 - (g1^2*t^4.47)/y - (g1^5*t^6.68)/y - (g1*t^6.74)/y - (g1^10*t^7.36)/y + (g1^6*t^7.41)/y + (2*g1^2*t^7.47)/y + t^7.53/(g1^2*y) + (3*t^7.59)/(g1^6*y) + (g1^11*t^8.09)/y + (2*g1^7*t^8.15)/y + (3*g1^3*t^8.21)/y + (5*t^8.26)/(g1*y) + (5*t^8.32)/(g1^5*y) + (2*t^8.38)/(g1^9*y) + (g1^4*t^8.94)/y - g1^2*t^4.47*y - g1^5*t^6.68*y - g1*t^6.74*y - g1^10*t^7.36*y + g1^6*t^7.41*y + 2*g1^2*t^7.47*y + (t^7.53*y)/g1^2 + (3*t^7.59*y)/g1^6 + g1^11*t^8.09*y + 2*g1^7*t^8.15*y + 3*g1^3*t^8.21*y + (5*t^8.26*y)/g1 + (5*t^8.32*y)/g1^5 + (2*t^8.38*y)/g1^9 + g1^4*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
56150 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_5M_7$ | 0.6055 | 0.7749 | 0.7813 | [X:[], M:[1.0141, 0.9717, 1.0, 1.0141, 0.7394, 0.7535, 1.2606], q:[0.5071, 0.5212], qb:[0.7535, 0.2465], 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 | |
56151 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6447 | 0.8459 | 0.7621 | [X:[], M:[1.0239, 0.9521, 1.0, 1.0239, 0.732, 0.756, 0.732], q:[0.512, 0.5359], qb:[0.756, 0.244], 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 | |
56152 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_1$ | 0.6453 | 0.8481 | 0.761 | [X:[], M:[1.0259, 0.9482, 1.0, 1.0259, 0.7306, 0.7565, 0.7047], q:[0.5129, 0.5388], qb:[0.7565, 0.2435], phi:[0.4871]] | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + t^2.84 + t^3. + 2*t^3.08 + t^3.81 + t^4.23 + t^4.31 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.69 + t^4.96 + t^5.04 + 2*t^5.11 + 3*t^5.19 + 4*t^5.27 + 5*t^5.35 + 2*t^5.42 + t^5.69 + t^5.84 + t^5.92 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
47255 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0213, 0.9574, 1.0, 1.0213, 0.734], q:[0.5106, 0.5319], qb:[0.7553, 0.2447], phi:[0.4894]] | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |