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 |
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3560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6757 | 0.8596 | 0.7861 | [X:[1.4897], M:[0.7842, 0.9419, 1.2158, 0.5103, 0.7842, 0.7842, 0.7054], q:[0.4315, 0.7842], qb:[0.3527, 0.7054], phi:[0.4315]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1], [1], [6]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.116 + 3*t^2.353 + t^2.589 + t^2.826 + 3*t^3.411 + t^4.233 + 5*t^4.469 + 8*t^4.705 + 3*t^4.942 + 3*t^5.178 + t^5.415 + 4*t^5.527 + t^5.651 + 8*t^5.764 - t^6. - t^6.236 + t^6.349 - t^6.473 + 5*t^6.585 + 16*t^6.822 + 11*t^7.058 + 3*t^7.295 + 6*t^7.531 + 4*t^7.643 + 4*t^7.767 + 14*t^7.88 + 3*t^8.004 + 12*t^8.116 + t^8.24 - 11*t^8.353 + t^8.465 + t^8.477 - 6*t^8.589 + 5*t^8.702 - 5*t^8.826 + 19*t^8.938 - t^4.295/y - t^6.411/y - (2*t^6.647)/y - t^6.884/y - t^7.12/y + (4*t^7.469)/y + (5*t^7.705)/y + (6*t^7.942)/y + (4*t^8.178)/y + t^8.415/y + (2*t^8.527)/y + (7*t^8.764)/y - t^4.295*y - t^6.411*y - 2*t^6.647*y - t^6.884*y - t^7.12*y + 4*t^7.469*y + 5*t^7.705*y + 6*t^7.942*y + 4*t^8.178*y + t^8.415*y + 2*t^8.527*y + 7*t^8.764*y | g1^6*t^2.116 + 3*g1*t^2.353 + t^2.589/g1^4 + t^2.826/g1^9 + 3*g1^4*t^3.411 + g1^12*t^4.233 + 5*g1^7*t^4.469 + 8*g1^2*t^4.705 + (3*t^4.942)/g1^3 + (3*t^5.178)/g1^8 + t^5.415/g1^13 + 4*g1^10*t^5.527 + t^5.651/g1^18 + 8*g1^5*t^5.764 - t^6. - t^6.236/g1^5 + g1^18*t^6.349 - t^6.473/g1^10 + 5*g1^13*t^6.585 + 16*g1^8*t^6.822 + 11*g1^3*t^7.058 + (3*t^7.295)/g1^2 + (6*t^7.531)/g1^7 + 4*g1^16*t^7.643 + (4*t^7.767)/g1^12 + 14*g1^11*t^7.88 + (3*t^8.004)/g1^17 + 12*g1^6*t^8.116 + t^8.24/g1^22 - 11*g1*t^8.353 + g1^24*t^8.465 + t^8.477/g1^27 - (6*t^8.589)/g1^4 + 5*g1^19*t^8.702 - (5*t^8.826)/g1^9 + 19*g1^14*t^8.938 - t^4.295/(g1^2*y) - (g1^4*t^6.411)/y - (2*t^6.647)/(g1*y) - t^6.884/(g1^6*y) - t^7.12/(g1^11*y) + (4*g1^7*t^7.469)/y + (5*g1^2*t^7.705)/y + (6*t^7.942)/(g1^3*y) + (4*t^8.178)/(g1^8*y) + t^8.415/(g1^13*y) + (2*g1^10*t^8.527)/y + (7*g1^5*t^8.764)/y - (t^4.295*y)/g1^2 - g1^4*t^6.411*y - (2*t^6.647*y)/g1 - (t^6.884*y)/g1^6 - (t^7.12*y)/g1^11 + 4*g1^7*t^7.469*y + 5*g1^2*t^7.705*y + (6*t^7.942*y)/g1^3 + (4*t^8.178*y)/g1^8 + (t^8.415*y)/g1^13 + 2*g1^10*t^8.527*y + 7*g1^5*t^8.764*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 |
---|---|---|---|---|---|---|---|---|
5233 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.5182 | 0.6224 | 0.8326 | [X:[1.8333, 1.5, 1.3333], M:[0.8333, 0.5, 1.1667, 0.1667, 0.8333, 0.8333, 1.0], q:[0.3333, 0.8333], qb:[0.5, 1.0], phi:[0.3333]] | 3*t^2.5 + t^3. + 3*t^4. + 6*t^5. + t^5.5 - 2*t^6. - t^4./y - t^4.*y | detail | {a: 199/384, c: 239/384, X1: 11/6, X2: 3/2, X3: 4/3, M1: 5/6, M2: 1/2, M3: 7/6, M4: 1/6, M5: 5/6, M6: 5/6, M7: 1, q1: 1/3, q2: 5/6, qb1: 1/2, qb2: 1, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
2964 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6554 | 0.8206 | 0.7987 | [X:[1.4999], M:[0.7857, 0.9287, 1.2143, 0.5001, 0.7857, 0.7857], q:[0.4286, 0.7857], qb:[0.3571, 0.7142], phi:[0.4286]] | 3*t^2.357 + t^2.572 + t^2.786 + 3*t^3.428 + t^3.857 + 2*t^4.5 + 7*t^4.714 + 2*t^4.929 + 3*t^5.143 + t^5.358 + t^5.571 + t^5.572 + 8*t^5.785 - t^6. - t^4.286/y - t^4.286*y | detail |