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 |
---|---|---|---|---|---|---|---|---|---|
3756 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6477 | 0.8571 | 0.7557 | [X:[], M:[0.9554, 1.1339, 0.9554, 0.8661, 0.7009, 0.8661, 0.7835], q:[0.7388, 0.3058], qb:[0.4777, 0.3884], phi:[0.5223]] | [X:[], M:[[4], [-12], [4], [12], [-18], [12], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_5$, $ M_7$, $ q_2\tilde{q}_1$, $ M_4$, $ M_6$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_7q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_7$, $ M_6M_7$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_7q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | $M_7\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.08 + t^2.1 + 2*t^2.35 + 2*t^2.6 + 2*t^2.87 + t^3.38 + t^3.65 + t^3.92 + 2*t^4.17 + t^4.19 + t^4.21 + 3*t^4.43 + 2*t^4.45 + 2*t^4.68 + 5*t^4.7 + 6*t^4.95 + 2*t^4.97 + 3*t^5.2 + 4*t^5.22 + 5*t^5.46 + 4*t^5.73 + 2*t^5.98 - t^6. + t^6.02 + 4*t^6.25 + t^6.27 + t^6.29 + t^6.31 + 5*t^6.52 + 3*t^6.54 + 2*t^6.56 + 4*t^6.76 + 5*t^6.78 + 5*t^6.8 + 9*t^7.03 + 7*t^7.05 + 2*t^7.07 + 3*t^7.28 + 11*t^7.3 + 3*t^7.32 + 11*t^7.55 + 6*t^7.57 + 4*t^7.79 + 10*t^7.81 + 8*t^8.06 + 3*t^8.08 - 3*t^8.1 + t^8.12 + 10*t^8.33 - 5*t^8.35 + t^8.37 + t^8.39 + t^8.41 + 3*t^8.58 + 2*t^8.6 + 3*t^8.64 + 2*t^8.66 + 7*t^8.85 - 2*t^8.87 + 5*t^8.89 + 5*t^8.91 - t^4.57/y - t^6.67/y - t^6.92/y - t^7.17/y + t^7.19/y + t^7.43/y + (2*t^7.45)/y + (2*t^7.68)/y + (4*t^7.7)/y + (6*t^7.95)/y + (3*t^7.97)/y + t^8.2/y + (5*t^8.22)/y + (6*t^8.46)/y + t^8.48/y + (4*t^8.73)/y + t^8.75/y - t^8.77/y + (2*t^8.98)/y - t^4.57*y - t^6.67*y - t^6.92*y - t^7.17*y + t^7.19*y + t^7.43*y + 2*t^7.45*y + 2*t^7.68*y + 4*t^7.7*y + 6*t^7.95*y + 3*t^7.97*y + t^8.2*y + 5*t^8.22*y + 6*t^8.46*y + t^8.48*y + 4*t^8.73*y + t^8.75*y - t^8.77*y + 2*t^8.98*y | g1^5*t^2.08 + t^2.1/g1^18 + (2*t^2.35)/g1^3 + 2*g1^12*t^2.6 + 2*g1^4*t^2.87 + g1^11*t^3.38 + g1^3*t^3.65 + t^3.92/g1^5 + 2*g1^10*t^4.17 + t^4.19/g1^13 + t^4.21/g1^36 + 3*g1^2*t^4.43 + (2*t^4.45)/g1^21 + 2*g1^17*t^4.68 + (5*t^4.7)/g1^6 + 6*g1^9*t^4.95 + (2*t^4.97)/g1^14 + 3*g1^24*t^5.2 + 4*g1*t^5.22 + 5*g1^16*t^5.46 + 4*g1^8*t^5.73 + 2*g1^23*t^5.98 - t^6. + t^6.02/g1^23 + 4*g1^15*t^6.25 + t^6.27/g1^8 + t^6.29/g1^31 + t^6.31/g1^54 + 5*g1^7*t^6.52 + (3*t^6.54)/g1^16 + (2*t^6.56)/g1^39 + 4*g1^22*t^6.76 + (5*t^6.78)/g1 + (5*t^6.8)/g1^24 + 9*g1^14*t^7.03 + (7*t^7.05)/g1^9 + (2*t^7.07)/g1^32 + 3*g1^29*t^7.28 + 11*g1^6*t^7.3 + (3*t^7.32)/g1^17 + 11*g1^21*t^7.55 + (6*t^7.57)/g1^2 + 4*g1^36*t^7.79 + 10*g1^13*t^7.81 + 8*g1^28*t^8.06 + 3*g1^5*t^8.08 - (3*t^8.1)/g1^18 + t^8.12/g1^41 + 10*g1^20*t^8.33 - (5*t^8.35)/g1^3 + t^8.37/g1^26 + t^8.39/g1^49 + t^8.41/g1^72 + 3*g1^35*t^8.58 + 2*g1^12*t^8.6 + (3*t^8.64)/g1^34 + (2*t^8.66)/g1^57 + 7*g1^27*t^8.85 - 2*g1^4*t^8.87 + (5*t^8.89)/g1^19 + (5*t^8.91)/g1^42 - t^4.57/(g1^2*y) - t^6.67/(g1^20*y) - t^6.92/(g1^5*y) - (g1^10*t^7.17)/y + t^7.19/(g1^13*y) + (g1^2*t^7.43)/y + (2*t^7.45)/(g1^21*y) + (2*g1^17*t^7.68)/y + (4*t^7.7)/(g1^6*y) + (6*g1^9*t^7.95)/y + (3*t^7.97)/(g1^14*y) + (g1^24*t^8.2)/y + (5*g1*t^8.22)/y + (6*g1^16*t^8.46)/y + t^8.48/(g1^7*y) + (4*g1^8*t^8.73)/y + t^8.75/(g1^15*y) - t^8.77/(g1^38*y) + (2*g1^23*t^8.98)/y - (t^4.57*y)/g1^2 - (t^6.67*y)/g1^20 - (t^6.92*y)/g1^5 - g1^10*t^7.17*y + (t^7.19*y)/g1^13 + g1^2*t^7.43*y + (2*t^7.45*y)/g1^21 + 2*g1^17*t^7.68*y + (4*t^7.7*y)/g1^6 + 6*g1^9*t^7.95*y + (3*t^7.97*y)/g1^14 + g1^24*t^8.2*y + 5*g1*t^8.22*y + 6*g1^16*t^8.46*y + (t^8.48*y)/g1^7 + 4*g1^8*t^8.73*y + (t^8.75*y)/g1^15 - (t^8.77*y)/g1^38 + 2*g1^23*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
5353 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_1M_8$ | 0.6437 | 0.8501 | 0.7572 | [X:[], M:[0.9584, 1.1248, 0.9584, 0.8752, 0.6872, 0.8752, 0.7812, 1.0416], q:[0.7396, 0.302], qb:[0.4792, 0.396], phi:[0.5208]] | t^2.06 + t^2.09 + 2*t^2.34 + 2*t^2.63 + t^2.88 + t^3.12 + t^3.41 + t^3.66 + t^3.91 + t^4.12 + t^4.16 + 2*t^4.19 + 2*t^4.41 + 3*t^4.44 + 5*t^4.69 + 2*t^4.72 + t^4.94 + 5*t^4.97 + t^5.19 + 3*t^5.22 + 3*t^5.25 + 2*t^5.47 + 3*t^5.5 + 4*t^5.75 + t^5.97 - t^4.56/y - t^4.56*y | detail | |
5354 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6598 | 0.8774 | 0.752 | [X:[], M:[0.9622, 1.1134, 0.9622, 0.8866, 0.6701, 0.8866, 0.7784, 0.854], q:[0.7405, 0.2973], qb:[0.4811, 0.4055], phi:[0.5189]] | t^2.01 + t^2.11 + 2*t^2.34 + t^2.56 + 2*t^2.66 + 2*t^2.89 + t^3.66 + t^3.89 + t^4.02 + t^4.12 + 2*t^4.22 + 2*t^4.35 + 3*t^4.44 + t^4.57 + 6*t^4.67 + 2*t^4.77 + 4*t^4.9 + 6*t^4.99 + t^5.12 + 6*t^5.22 + 3*t^5.32 + t^5.45 + 4*t^5.55 + 2*t^5.77 + t^5.9 - t^6. - t^4.56/y - t^4.56*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 |
---|---|---|---|---|---|---|---|---|---|
3315 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.6303 | 0.8264 | 0.7627 | [X:[], M:[0.954, 1.138, 0.954, 0.862, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]] | t^2.08 + t^2.12 + t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.37 + 2*t^3.65 + t^3.92 + 2*t^4.16 + t^4.2 + t^4.24 + 2*t^4.43 + t^4.47 + 2*t^4.66 + 3*t^4.71 + 4*t^4.94 + 2*t^4.98 + 3*t^5.17 + 2*t^5.22 + 5*t^5.45 + 4*t^5.72 + t^5.77 + 2*t^5.96 - t^6. - t^4.57/y - t^4.57*y | detail |