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 |
---|---|---|---|---|---|---|---|---|---|
2416 | 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$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6463 | 0.8674 | 0.7451 | [X:[], M:[0.9259, 1.2224, 0.9259, 0.7776, 0.7776, 0.6853, 0.8336], q:[0.7315, 0.3427], qb:[0.3427, 0.4349], phi:[0.5371]] | [X:[], M:[[4], [-12], [4], [12], [12], [-10], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_7q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ M_5M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_7$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_6\phi_1q_2^2$, $ M_7q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_4\phi_1q_2^2$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | 2*t^2.06 + 3*t^2.33 + t^2.5 + 2*t^2.78 + t^3.22 + 2*t^3.67 + t^3.94 + 3*t^4.11 + t^4.22 + 6*t^4.39 + 2*t^4.56 + 6*t^4.67 + 7*t^4.83 + t^5. + 6*t^5.11 + 4*t^5.28 + 5*t^5.56 + 3*t^5.72 + 3*t^6. + 6*t^6.17 + 2*t^6.28 + 10*t^6.44 + 3*t^6.55 + 3*t^6.61 + 12*t^6.72 + 11*t^6.89 + 11*t^7. + 2*t^7.06 + 13*t^7.17 + 10*t^7.33 + 11*t^7.44 + t^7.5 + 10*t^7.61 + 6*t^7.78 + 9*t^7.89 + 4*t^8.06 + t^8.16 + 8*t^8.22 + 2*t^8.33 + t^8.44 + 11*t^8.5 + 3*t^8.61 + 6*t^8.67 + 8*t^8.78 + 6*t^8.89 + 15*t^8.95 - t^4.61/y - t^6.67/y - t^6.94/y + (5*t^7.39)/y + (2*t^7.56)/y + (3*t^7.67)/y + (8*t^7.83)/y + (7*t^8.11)/y + (5*t^8.28)/y + (5*t^8.56)/y + (4*t^8.72)/y - t^4.61*y - t^6.67*y - t^6.94*y + 5*t^7.39*y + 2*t^7.56*y + 3*t^7.67*y + 8*t^7.83*y + 7*t^8.11*y + 5*t^8.28*y + 5*t^8.56*y + 4*t^8.72*y | (2*t^2.06)/g1^10 + 3*g1^12*t^2.33 + t^2.5/g1^18 + 2*g1^4*t^2.78 + t^3.22/g1^4 + (2*t^3.67)/g1^12 + g1^10*t^3.94 + (3*t^4.11)/g1^20 + g1^32*t^4.22 + 6*g1^2*t^4.39 + (2*t^4.56)/g1^28 + 6*g1^24*t^4.67 + (7*t^4.83)/g1^6 + t^5./g1^36 + 6*g1^16*t^5.11 + (4*t^5.28)/g1^14 + 5*g1^8*t^5.56 + (3*t^5.72)/g1^22 + 3*t^6. + (6*t^6.17)/g1^30 + 2*g1^22*t^6.28 + (10*t^6.44)/g1^8 + 3*g1^44*t^6.55 + (3*t^6.61)/g1^38 + 12*g1^14*t^6.72 + (11*t^6.89)/g1^16 + 11*g1^36*t^7. + (2*t^7.06)/g1^46 + 13*g1^6*t^7.17 + (10*t^7.33)/g1^24 + 11*g1^28*t^7.44 + t^7.5/g1^54 + (10*t^7.61)/g1^2 + (6*t^7.78)/g1^32 + 9*g1^20*t^7.89 + (4*t^8.06)/g1^10 + g1^42*t^8.16 + (8*t^8.22)/g1^40 + 2*g1^12*t^8.33 + g1^64*t^8.44 + (11*t^8.5)/g1^18 + 3*g1^34*t^8.61 + (6*t^8.67)/g1^48 + 8*g1^4*t^8.78 + 6*g1^56*t^8.89 + (15*t^8.95)/g1^26 - t^4.61/(g1^2*y) - t^6.67/(g1^12*y) - (g1^10*t^6.94)/y + (5*g1^2*t^7.39)/y + (2*t^7.56)/(g1^28*y) + (3*g1^24*t^7.67)/y + (8*t^7.83)/(g1^6*y) + (7*g1^16*t^8.11)/y + (5*t^8.28)/(g1^14*y) + (5*g1^8*t^8.56)/y + (4*t^8.72)/(g1^22*y) - (t^4.61*y)/g1^2 - (t^6.67*y)/g1^12 - g1^10*t^6.94*y + 5*g1^2*t^7.39*y + (2*t^7.56*y)/g1^28 + 3*g1^24*t^7.67*y + (8*t^7.83*y)/g1^6 + 7*g1^16*t^8.11*y + (5*t^8.28*y)/g1^14 + 5*g1^8*t^8.56*y + (4*t^8.72*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
4458 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6643 | 0.8999 | 0.7382 | [X:[], M:[0.9232, 1.2304, 0.9232, 0.7696, 0.7696, 0.692, 0.8457, 0.7696], q:[0.7308, 0.346], qb:[0.346, 0.4235], phi:[0.5384]] | 2*t^2.08 + 4*t^2.31 + t^2.54 + 2*t^2.77 + t^3.23 + t^3.69 + t^3.92 + 3*t^4.15 + t^4.16 + 8*t^4.38 + 2*t^4.61 + 10*t^4.62 + 8*t^4.85 + t^5.07 + 8*t^5.08 + 4*t^5.31 + 6*t^5.54 + t^5.77 + t^6. - t^4.62/y - t^4.62*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 |
---|---|---|---|---|---|---|---|---|---|
1347 | 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$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6331 | 0.8457 | 0.7486 | [X:[], M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]] | 2*t^2.1 + 3*t^2.28 + 2*t^2.76 + t^3.24 + t^3.41 + 2*t^3.72 + t^3.9 + t^4.07 + 3*t^4.21 + 6*t^4.38 + 6*t^4.55 + 4*t^4.86 + 6*t^5.03 + 2*t^5.35 + 7*t^5.52 + 3*t^5.69 + 2*t^5.83 + 3*t^6. - t^4.62/y - t^4.62*y | detail |