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 |
---|---|---|---|---|---|---|---|---|---|
55310 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6806 | 0.8472 | 0.8033 | [X:[], M:[0.9444, 1.0, 1.1667, 0.8333, 0.8333, 0.7778], q:[0.6111, 0.4444], qb:[0.3889, 0.7778], phi:[0.4444]] | [X:[], M:[[-11], [0], [-3], [3], [3], [10]], q:[[4], [7]], qb:[[-4], [1]], phi:[[-2]]] | 1 | {a: 49/72, c: 61/72, M1: 17/18, M2: 1, M3: 7/6, M4: 5/6, M5: 5/6, M6: 7/9, q1: 11/18, q2: 4/9, qb1: 7/18, qb2: 7/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_2M_5$, $ M_1^2$, $ M_2\phi_1^2$ | $M_6q_2\tilde{q}_2$ | -1 | t^2.33 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + 2*t^4.83 + 5*t^5. + 3*t^5.17 + 3*t^5.33 + 2*t^5.5 + 2*t^5.67 - t^6. + t^6.17 + 3*t^6.33 + 3*t^6.5 + 3*t^6.67 + 3*t^6.83 + 3*t^7. + 2*t^7.17 + 4*t^7.33 + 8*t^7.5 + 7*t^7.67 + 5*t^7.83 + 6*t^8. + 3*t^8.17 - 2*t^8.5 + t^8.67 + 2*t^8.83 - t^4.33/y - t^6.67/y - t^6.83/y - t^7./y - t^7.17/y + t^7.5/y + t^7.67/y + (3*t^7.83)/y + (3*t^8.)/y + (3*t^8.17)/y + (3*t^8.33)/y + (3*t^8.5)/y + t^8.67/y + t^8.83/y - t^4.33*y - t^6.67*y - t^6.83*y - t^7.*y - t^7.17*y + t^7.5*y + t^7.67*y + 3*t^7.83*y + 3*t^8.*y + 3*t^8.17*y + 3*t^8.33*y + 3*t^8.5*y + t^8.67*y + t^8.83*y | g1^10*t^2.33 + 2*g1^3*t^2.5 + t^2.67/g1^4 + t^2.83/g1^11 + t^3. + g1^8*t^3.67 + g1*t^3.83 + g1^12*t^4. + g1^5*t^4.17 + t^4.33/g1^2 + g1^9*t^4.5 + g1^20*t^4.67 + 2*g1^13*t^4.83 + 5*g1^6*t^5. + (3*t^5.17)/g1 + (2*t^5.33)/g1^8 + g1^10*t^5.33 + t^5.5/g1^15 + g1^3*t^5.5 + t^5.67/g1^22 + t^5.67/g1^4 - 2*t^6. + g1^18*t^6. - t^6.17/g1^7 + 2*g1^11*t^6.17 + 2*g1^4*t^6.33 + g1^22*t^6.33 + 3*g1^15*t^6.5 + 3*g1^8*t^6.67 + 2*g1*t^6.83 + g1^19*t^6.83 + 2*g1^12*t^7. + g1^30*t^7. + 2*g1^23*t^7.17 - t^7.33/g1^2 + 5*g1^16*t^7.33 + 8*g1^9*t^7.5 + 5*g1^2*t^7.67 + 2*g1^20*t^7.67 + (3*t^7.83)/g1^5 + 2*g1^13*t^7.83 + (3*t^8.)/g1^12 + 2*g1^6*t^8. + g1^24*t^8. + (2*t^8.17)/g1^19 + g1^17*t^8.17 + t^8.33/g1^26 - 2*g1^10*t^8.33 + g1^28*t^8.33 + t^8.5/g1^33 - 6*g1^3*t^8.5 + 3*g1^21*t^8.5 - (4*t^8.67)/g1^4 + 4*g1^14*t^8.67 + g1^32*t^8.67 - (3*t^8.83)/g1^11 + 2*g1^7*t^8.83 + 3*g1^25*t^8.83 - t^4.33/(g1^2*y) - (g1^8*t^6.67)/y - (g1*t^6.83)/y - t^7./(g1^6*y) - t^7.17/(g1^13*y) + (g1^9*t^7.5)/y + (g1^2*t^7.67)/y + t^7.83/(g1^5*y) + (2*g1^13*t^7.83)/y + t^8./(g1^12*y) + (2*g1^6*t^8.)/y + (3*t^8.17)/(g1*y) + (2*t^8.33)/(g1^8*y) + (g1^10*t^8.33)/y + t^8.5/(g1^15*y) + (2*g1^3*t^8.5)/y + t^8.67/(g1^4*y) + t^8.83/(g1^11*y) - (t^4.33*y)/g1^2 - g1^8*t^6.67*y - g1*t^6.83*y - (t^7.*y)/g1^6 - (t^7.17*y)/g1^13 + g1^9*t^7.5*y + g1^2*t^7.67*y + (t^7.83*y)/g1^5 + 2*g1^13*t^7.83*y + (t^8.*y)/g1^12 + 2*g1^6*t^8.*y + (3*t^8.17*y)/g1 + (2*t^8.33*y)/g1^8 + g1^10*t^8.33*y + (t^8.5*y)/g1^15 + 2*g1^3*t^8.5*y + (t^8.67*y)/g1^4 + (t^8.83*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
56951 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.7006 | 0.8845 | 0.792 | [X:[], M:[0.9429, 1.0, 1.1663, 0.8337, 0.8337, 0.7791, 0.7221], q:[0.6117, 0.4454], qb:[0.3883, 0.7779], phi:[0.4442]] | t^2.17 + t^2.34 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^4. + t^4.17 + 2*t^4.33 + 2*t^4.5 + 3*t^4.67 + t^4.83 + 2*t^4.84 + 6*t^5. + 4*t^5.17 + 2*t^5.33 + t^5.34 + t^5.49 + t^5.5 + t^5.66 + t^5.67 + t^5.84 - 2*t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
47057 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_5$ | 0.6636 | 0.816 | 0.8132 | [X:[], M:[0.9114, 1.0, 1.1577, 0.8423, 0.8423], q:[0.6231, 0.4655], qb:[0.3769, 0.7808], phi:[0.4384]] | 2*t^2.53 + t^2.63 + t^2.73 + t^3. + t^3.58 + t^3.74 + t^3.84 + t^4.11 + t^4.21 + t^4.32 + t^4.58 + 4*t^5.05 + 2*t^5.16 + 2*t^5.26 + t^5.36 + t^5.47 + t^5.53 + t^5.63 - 2*t^6. - t^4.32/y - t^4.32*y | detail |