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 |
---|---|---|---|---|---|---|---|---|---|
5049 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.589 | 0.7542 | 0.781 | [M:[0.7857, 0.9286, 1.0, 0.7143, 1.2857, 0.7143, 1.0714], q:[0.75, 0.4643], qb:[0.25, 0.8214], phi:[0.4286]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 51717/87808, c: 66221/87808, M1: 11/14, M2: 13/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 15/14, q1: 3/4, q2: 13/28, qb1: 1/4, qb2: 23/28, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 4*t^5.571 + 2*t^5.786 + 2*t^6.214 + 5*t^6.429 + 2*t^6.643 + 5*t^6.857 + 6*t^7.071 + 7*t^7.286 + 6*t^7.5 + 8*t^7.714 + 5*t^7.929 + 2*t^8.143 + 2*t^8.357 + 5*t^8.571 + t^8.786 - t^4.286/y - t^6.429/y - t^6.643/y - t^6.857/y + t^7.286/y + (2*t^7.5)/y + (3*t^7.714)/y + (4*t^7.929)/y + (4*t^8.143)/y + (4*t^8.357)/y + (3*t^8.571)/y + (2*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.643*y - t^6.857*y + t^7.286*y + 2*t^7.5*y + 3*t^7.714*y + 4*t^7.929*y + 4*t^8.143*y + 4*t^8.357*y + 3*t^8.571*y + 2*t^8.786*y | 2*t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + 3*t^4.929 + 4*t^5.143 + 3*t^5.357 + 4*t^5.571 + 2*t^5.786 + 2*t^6.214 + 5*t^6.429 + 2*t^6.643 + 5*t^6.857 + 6*t^7.071 + 7*t^7.286 + 6*t^7.5 + 8*t^7.714 + 5*t^7.929 + 2*t^8.143 + 2*t^8.357 + 5*t^8.571 + t^8.786 - t^4.286/y - t^6.429/y - t^6.643/y - t^6.857/y + t^7.286/y + (2*t^7.5)/y + (3*t^7.714)/y + (4*t^7.929)/y + (4*t^8.143)/y + (4*t^8.357)/y + (3*t^8.571)/y + (2*t^8.786)/y - t^4.286*y - t^6.429*y - t^6.643*y - t^6.857*y + t^7.286*y + 2*t^7.5*y + 3*t^7.714*y + 4*t^7.929*y + 4*t^8.143*y + 4*t^8.357*y + 3*t^8.571*y + 2*t^8.786*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 |
---|---|---|---|---|---|---|---|---|
6610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{2}M_{8}$ | 0.5824 | 0.7431 | 0.7837 | [M:[0.7857, 0.9286, 1.0, 0.7143, 1.2857, 0.7143, 1.0714, 1.0714], q:[0.75, 0.4643], qb:[0.25, 0.8214], phi:[0.4286]] | 2*t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 4*t^5.357 + 4*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 25569/43904, c: 32625/43904, M1: 11/14, M2: 13/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 15/14, M8: 15/14, q1: 3/4, q2: 13/28, qb1: 1/4, qb2: 23/28, phi1: 3/7} |
6615 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{7}M_{8}$ | 0.5956 | 0.7652 | 0.7783 | [M:[0.7857, 0.9286, 1.0, 0.7143, 1.2857, 0.7143, 1.0714, 0.9286], q:[0.75, 0.4643], qb:[0.25, 0.8214], phi:[0.4286]] | 2*t^2.143 + t^2.357 + t^2.571 + 2*t^2.786 + t^3. + t^3.429 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 4*t^4.714 + 5*t^4.929 + 5*t^5.143 + 2*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 6537/10976, c: 8399/10976, M1: 11/14, M2: 13/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 15/14, M8: 13/14, q1: 3/4, q2: 13/28, qb1: 1/4, qb2: 23/28, phi1: 3/7} |
6618 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6016 | 0.7757 | 0.7755 | [M:[0.7857, 0.9286, 1.0, 0.7143, 1.2857, 0.7143, 1.0714, 0.8571], q:[0.75, 0.4643], qb:[0.25, 0.8214], phi:[0.4286]] | 2*t^2.143 + t^2.357 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^4.071 + 3*t^4.286 + 2*t^4.5 + 6*t^4.714 + 4*t^4.929 + 6*t^5.143 + 4*t^5.357 + 3*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 52821/87808, c: 68109/87808, M1: 11/14, M2: 13/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 15/14, M8: 6/7, q1: 3/4, q2: 13/28, qb1: 1/4, qb2: 23/28, phi1: 3/7} |
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
3172 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6177 | 0.7934 | 0.7785 | [M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.7143, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | 2*t^2.143 + t^2.277 + t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.429 + t^3.563 + 3*t^4.286 + 2*t^4.42 + t^4.555 + 3*t^4.714 + 3*t^4.849 + t^4.984 + 2*t^5.008 + 4*t^5.143 + 2*t^5.277 + t^5.412 + t^5.437 + 3*t^5.571 + 3*t^5.706 + t^5.731 + t^5.841 - t^6. - t^4.286/y - t^4.286*y | detail |