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Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(4): 1 rank-2 symm + 1 rank-2 anti-symm + conj. SU(5): 2 rank-2 symm + conj. SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + conj. SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + conj. (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(6): 2 rank-2 symm + conj. SU(6): 2 rank-2 symm + 1 fund + conj. SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + conj. SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + conj. (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + conj. (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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

#	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
422	SU2adj1nf2	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$ + $M_2M_5$	0.6786	0.8339	0.8138	[X:[], M:[0.9772, 1.1268, 0.9523, 0.7692, 0.8732], q:[0.7817, 0.4242], qb:[0.5987, 0.4491], phi:[0.4366]]	[X:[], M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [-4, 0]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
$M_4$, $M_5$, $\phi_1^2$, $M_3$, $M_1$, $q_1q_2$, $\phi_1q_2^2$, $\phi_1q_2\tilde{q}_2$, $\phi_1\tilde{q}_2^2$, $q_1\tilde{q}_1$, $\phi_1q_2\tilde{q}_1$, $\phi_1\tilde{q}_1\tilde{q}_2$, $M_4^2$, $\phi_1\tilde{q}_1^2$, $M_4M_5$, $M_4\phi_1^2$, $M_3M_4$, $M_1M_4$, $M_5^2$, $M_5\phi_1^2$, $\phi_1^4$, $M_3M_5$, $M_3\phi_1^2$, $M_1M_5$, $M_1\phi_1^2$, $M_3^2$, $M_1M_3$, $M_1^2$	.	-3	t^2.31 + 2*t^2.62 + t^2.86 + t^2.93 + t^3.62 + t^3.85 + t^3.93 + t^4. + t^4.14 + t^4.38 + t^4.45 + t^4.62 + t^4.9 + 2*t^4.93 + t^5.16 + 4*t^5.24 + t^5.48 + t^5.55 + t^5.71 + t^5.79 + t^5.86 - 3*t^6. - t^6.07 + t^6.16 + 2*t^6.24 + 3*t^6.47 - t^6.52 + 2*t^6.55 + 2*t^6.62 + t^6.69 + t^6.71 + t^6.76 + t^6.79 + t^6.86 + t^6.92 + t^6.94 + t^7. + t^7.07 + t^7.21 + 2*t^7.24 - t^7.31 - t^7.38 + 2*t^7.47 + t^7.52 + 4*t^7.55 + t^7.71 + 2*t^7.78 - t^7.83 + 6*t^7.86 + t^7.93 + t^8. + t^8.01 + t^8.02 + 2*t^8.1 + 2*t^8.17 + t^8.23 - 3*t^8.31 + t^8.33 - t^8.38 + t^8.41 + t^8.46 + t^8.47 + t^8.48 + t^8.52 + t^8.57 - 6*t^8.62 + t^8.65 - 2*t^8.69 + t^8.72 + t^8.76 + 2*t^8.78 + t^8.79 - t^8.83 + t^8.91 - 3*t^8.93 + t^8.99 - t^4.31/y - t^6.62/y - t^6.93/y - t^7.17/y - t^7.24/y + t^7.38/y + t^7.45/y + t^7.69/y + (2*t^7.93)/y + t^8./y + t^8.16/y + (2*t^8.24)/y + (2*t^8.48)/y + (2*t^8.55)/y + t^8.79/y - t^4.31*y - t^6.62*y - t^6.93*y - t^7.17*y - t^7.24*y + t^7.38*y + t^7.45*y + t^7.69*y + 2*t^7.93*y + t^8.*y + t^8.16*y + 2*t^8.24*y + 2*t^8.48*y + 2*t^8.55*y + t^8.79*y	t^2.31/(g1*g2) + (2*t^2.62)/g1^4 + t^2.86/(g1^11*g2) + (g2*t^2.93)/g1^7 + t^3.62/(g1^3*g2) + t^3.85/(g1^10*g2^2) + t^3.93/g1^6 + (g2^2*t^4.)/g1^2 + g1^12*t^4.14 + (g1^5*t^4.38)/g2 + g1^9*g2*t^4.45 + t^4.62/(g1^2*g2^2) + g1^20*t^4.9 + (2*t^4.93)/(g1^5*g2) + t^5.16/(g1^12*g2^2) + (4*t^5.24)/g1^8 + t^5.48/(g1^15*g2) + (g2*t^5.55)/g1^11 + t^5.71/(g1^22*g2^2) + t^5.79/g1^18 + (g2^2*t^5.86)/g1^14 - 3*t^6. - g1^4*g2^2*t^6.07 + t^6.16/(g1^11*g2^3) + (2*t^6.24)/(g1^7*g2) + (3*t^6.47)/(g1^14*g2^2) - g1^15*g2*t^6.52 + (2*t^6.55)/g1^10 + (2*g2^2*t^6.62)/g1^6 + (g1^4*t^6.69)/g2^2 + t^6.71/(g1^21*g2^3) + g1^8*t^6.76 + t^6.79/(g1^17*g2) + (g2*t^6.86)/g1^13 + t^6.92/(g1^3*g2^3) + (g2^3*t^6.94)/g1^9 + (g1*t^7.)/g2 + g1^5*g2*t^7.07 + (g1^19*t^7.21)/g2 + (2*t^7.24)/(g1^6*g2^2) - t^7.31/g1^2 - g1^2*g2^2*t^7.38 + (2*t^7.47)/(g1^13*g2^3) + g1^16*t^7.52 + (4*t^7.55)/(g1^9*g2) + t^7.71/(g1^20*g2^4) + (2*t^7.78)/(g1^16*g2^2) - g1^13*g2*t^7.83 + (6*t^7.86)/g1^12 + (g2^2*t^7.93)/g1^8 + (g1^2*t^8.)/g2^2 + (g2^4*t^8.01)/g1^4 + t^8.02/(g1^23*g2^3) + (2*t^8.1)/(g1^19*g2) + (2*g2*t^8.17)/g1^15 + t^8.23/(g1^5*g2^3) - (3*t^8.31)/(g1*g2) + t^8.33/(g1^26*g2^2) - g1^3*g2*t^8.38 + t^8.41/g1^22 + g1^7*g2^3*t^8.46 + t^8.47/(g1^12*g2^4) + (g2^2*t^8.48)/g1^18 + (g1^17*t^8.52)/g2 + t^8.57/(g1^33*g2^3) - (6*t^8.62)/g1^4 + t^8.65/(g1^29*g2) - 2*g2^2*t^8.69 + (g2*t^8.72)/g1^25 + (g1^10*t^8.76)/g2^2 + (2*t^8.78)/(g1^15*g2^3) + (g2^3*t^8.79)/g1^21 - g1^14*t^8.83 + g1^18*g2^2*t^8.91 - (3*g2*t^8.93)/g1^7 + (g1^3*t^8.99)/g2^3 - t^4.31/(g1^2*y) - t^6.62/(g1^3*g2*y) - t^6.93/(g1^6*y) - t^7.17/(g1^13*g2*y) - (g2*t^7.24)/(g1^9*y) + (g1^5*t^7.38)/(g2*y) + (g1^9*g2*t^7.45)/y + (g1^2*t^7.69)/y + (2*t^7.93)/(g1^5*g2*y) + (g2*t^8.)/(g1*y) + t^8.16/(g1^12*g2^2*y) + (2*t^8.24)/(g1^8*y) + (2*t^8.48)/(g1^15*g2*y) + (2*g2*t^8.55)/(g1^11*y) + t^8.79/(g1^18*y) - (t^4.31*y)/g1^2 - (t^6.62*y)/(g1^3*g2) - (t^6.93*y)/g1^6 - (t^7.17*y)/(g1^13*g2) - (g2*t^7.24*y)/g1^9 + (g1^5*t^7.38*y)/g2 + g1^9*g2*t^7.45*y + g1^2*t^7.69*y + (2*t^7.93*y)/(g1^5*g2) + (g2*t^8.*y)/g1 + (t^8.16*y)/(g1^12*g2^2) + (2*t^8.24*y)/g1^8 + (2*t^8.48*y)/(g1^15*g2) + (2*g2*t^8.55*y)/g1^11 + (t^8.79*y)/g1^18

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
699	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$ + $M_2M_5$ + $M_1\phi_1^2$	0.6682	0.8218	0.813	[X:[], M:[1.0917, 1.0917, 0.9959, 0.725, 0.9083], q:[0.7729, 0.4063], qb:[0.502, 0.502], phi:[0.4542]]	t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. - t^4.36/y - t^4.36*y	detail
701	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$ + $M_2M_5$ + $M_3^2$	0.6768	0.8295	0.8159	[X:[], M:[0.9891, 1.1135, 1.0, 0.7838, 0.8865], q:[0.7784, 0.4487], qb:[0.5622, 0.4378], phi:[0.4432]]	t^2.35 + 2*t^2.66 + t^2.97 + t^3. + t^3.68 + t^3.96 + t^3.99 + 2*t^4.02 + t^4.33 + t^4.36 + 2*t^4.7 + 2*t^5.01 + 4*t^5.32 + t^5.35 + t^5.63 + t^5.66 + t^5.93 - 2*t^6. - t^4.33/y - t^4.33*y	detail
705	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$ + $M_2M_5$ + $M_6\phi_1q_2^2$	0.699	0.8725	0.8011	[X:[], M:[0.974, 1.1248, 0.9642, 0.7763, 0.8752, 0.697], q:[0.7812, 0.4327], qb:[0.5933, 0.4424], phi:[0.4376]]	t^2.09 + t^2.33 + 2*t^2.63 + t^2.89 + t^2.92 + t^3.64 + t^3.94 + t^3.97 + t^4.12 + t^4.18 + t^4.39 + 2*t^4.42 + t^4.66 + 2*t^4.72 + t^4.87 + 2*t^4.95 + t^4.98 + t^5.01 + t^5.22 + 4*t^5.25 + t^5.52 + t^5.55 + t^5.73 + t^5.79 + t^5.81 + t^5.84 - 3*t^6. - t^4.31/y - t^4.31*y	detail
706	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$ + $M_2M_5$ + $M_6q_1q_2$	0.6958	0.8638	0.8055	[X:[], M:[0.9672, 1.1257, 0.9672, 0.7814, 0.8743, 0.7814], q:[0.7814, 0.4372], qb:[0.5957, 0.4372], phi:[0.4372]]	2*t^2.34 + 2*t^2.62 + 2*t^2.9 + 3*t^3.93 + t^4.13 + 2*t^4.41 + 3*t^4.69 + t^4.89 + 4*t^4.97 + 7*t^5.25 + 2*t^5.52 + 3*t^5.8 - 5*t^6. - t^4.31/y - t^4.31*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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
265	SU2adj1nf2	$\phi_1q_1^2$ + $M_1q_2\tilde{q}_1$ + $M_2q_2\tilde{q}_2$ + $M_3\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1^2$ + $M_4q_1\tilde{q}_2$	0.6675	0.8146	0.8195	[X:[], M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], phi:[0.4398]]	t^2.3 + t^2.64 + t^2.9 + t^2.98 + t^3.36 + t^3.62 + t^3.88 + t^3.96 + t^4.03 + t^4.08 + t^4.34 + t^4.42 + t^4.61 + t^4.81 + t^4.94 + t^5.2 + 2*t^5.28 + t^5.66 + t^5.8 + t^5.88 + t^5.95 - 2*t^6. - t^4.32/y - t^4.32*y	detail