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 |
---|---|---|---|---|---|---|---|---|---|
3492 | 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$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6271 | 0.8173 | 0.7673 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 61041/97336, c: 19889/24334, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_6$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_5q_1\tilde{q}_2$ | 2 | t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 5*t^4.7 + 6*t^4.96 + 7*t^5.22 + 4*t^5.48 + 3*t^5.74 + 2*t^6. + 5*t^6.26 + 7*t^6.52 + 9*t^6.78 + 10*t^7.04 + 11*t^7.3 + 13*t^7.57 + 12*t^7.83 + 9*t^8.09 + 4*t^8.35 + 5*t^8.61 + 7*t^8.87 - t^4.57/y - t^6.91/y - t^7.17/y + t^7.43/y + (4*t^7.7)/y + (7*t^7.96)/y + (6*t^8.22)/y + (5*t^8.48)/y + (4*t^8.74)/y - t^4.57*y - t^6.91*y - t^7.17*y + t^7.43*y + 4*t^7.7*y + 7*t^7.96*y + 6*t^8.22*y + 5*t^8.48*y + 4*t^8.74*y | t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 5*t^4.7 + 6*t^4.96 + 7*t^5.22 + 4*t^5.48 + 3*t^5.74 + 2*t^6. + 5*t^6.26 + 7*t^6.52 + 9*t^6.78 + 10*t^7.04 + 11*t^7.3 + 13*t^7.57 + 12*t^7.83 + 9*t^8.09 + 4*t^8.35 + 5*t^8.61 + 7*t^8.87 - t^4.57/y - t^6.91/y - t^7.17/y + t^7.43/y + (4*t^7.7)/y + (7*t^7.96)/y + (6*t^8.22)/y + (5*t^8.48)/y + (4*t^8.74)/y - t^4.57*y - t^6.91*y - t^7.17*y + t^7.43*y + 4*t^7.7*y + 7*t^7.96*y + 6*t^8.22*y + 5*t^8.48*y + 4*t^8.74*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 |
---|---|---|---|---|---|---|---|---|
5160 | $M_1q_1q_2$ + $ 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$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1q_2^2$ | 0.6387 | 0.8371 | 0.763 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 0.7826, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 2*t^2.35 + 3*t^2.61 + 2*t^2.87 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 6*t^4.7 + 8*t^4.96 + 10*t^5.22 + 5*t^5.48 + t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 124341/194672, c: 81479/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 20/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
5162 | $M_1q_1q_2$ + $ 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$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6446 | 0.8484 | 0.7598 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 0.7826, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 3*t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + 2*t^3.91 + 2*t^4.17 + 4*t^4.43 + 8*t^4.7 + 8*t^4.96 + 9*t^5.22 + 4*t^5.48 + 3*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 125487/194672, c: 82581/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 20/23, M7: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2904 | 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$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6303 | 0.8194 | 0.7692 | [X:[], M:[0.9745, 1.0764, 0.9745, 0.9236, 0.7691, 0.82], q:[0.7436, 0.2818], qb:[0.4363, 0.4873], phi:[0.5127]] | t^2.15 + 2*t^2.31 + t^2.46 + t^2.77 + 2*t^2.92 + t^3.23 + t^3.69 + t^3.85 + t^4.16 + 2*t^4.31 + 3*t^4.46 + 4*t^4.61 + 2*t^4.77 + t^4.92 + t^4.93 + 4*t^5.08 + 5*t^5.23 + 2*t^5.38 + 2*t^5.54 + 3*t^5.69 + 2*t^5.85 - t^4.54/y - t^4.54*y | detail |