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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
85	SU2adj1nf2	$\phi_1q_1^2$ + $\phi_1q_2^2$ + $M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1\tilde{q}_1^2$	0.6485	0.7964	0.8143	[X:[], M:[0.7044, 0.6901], q:[0.8239, 0.8239], qb:[0.4788, 0.4646], phi:[0.3522]]	[X:[], M:[[-4, -4], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	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
$M_2$, $M_1$, $\phi_1^2$, $\tilde{q}_1\tilde{q}_2$, $\phi_1\tilde{q}_2^2$, $q_1\tilde{q}_2$, $q_2\tilde{q}_2$, $q_1\tilde{q}_1$, $q_2\tilde{q}_1$, $M_2^2$, $M_1M_2$, $M_2\phi_1^2$, $M_1^2$, $M_1\phi_1^2$, $\phi_1^4$, $M_2\tilde{q}_1\tilde{q}_2$, $q_1q_2$, $M_1\tilde{q}_1\tilde{q}_2$, $\phi_1^2\tilde{q}_1\tilde{q}_2$, $\tilde{q}_1^2\tilde{q}_2^2$, $M_2\phi_1\tilde{q}_2^2$, $M_2q_1\tilde{q}_2$, $M_2q_2\tilde{q}_2$, $\phi_1^3\tilde{q}_2^2$, $M_2q_1\tilde{q}_1$, $M_2q_2\tilde{q}_1$, $M_1q_1\tilde{q}_2$, $M_1q_2\tilde{q}_2$	.	-3	t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. + 2*t^6.02 - t^6.04 + t^6.21 + 2*t^6.25 + 3*t^6.3 + 4*t^6.34 + t^6.67 + 2*t^6.7 + 2*t^6.74 + t^6.97 + 2*t^7.01 - 2*t^7.04 + 3*t^7.06 - 2*t^7.08 - t^7.1 + t^7.69 + 2*t^7.71 + 3*t^7.73 + 4*t^7.77 - 2*t^7.8 + 2*t^7.82 + t^7.98 + 2*t^8.01 + t^8.03 + 4*t^8.05 - 2*t^8.07 + 4*t^8.09 - 6*t^8.11 + 2*t^8.13 - 2*t^8.16 + t^8.28 + 2*t^8.32 + 3*t^8.37 + 4*t^8.41 + 5*t^8.45 + t^8.49 + t^8.74 + 2*t^8.77 + t^8.79 + 4*t^8.81 - 5*t^8.83 + 2*t^8.85 - 2*t^8.87 - t^4.06/y - t^6.13/y - (2*t^6.17)/y + (2*t^7.18)/y + t^7.23/y + t^7.9/y + (4*t^7.94)/y + t^7.99/y - t^8.2/y - (2*t^8.24)/y - (3*t^8.28)/y + t^8.91/y + (2*t^8.94)/y + (2*t^8.96)/y + (6*t^8.98)/y - t^4.06*y - t^6.13*y - 2*t^6.17*y + 2*t^7.18*y + t^7.23*y + t^7.9*y + 4*t^7.94*y + t^7.99*y - t^8.2*y - 2*t^8.24*y - 3*t^8.28*y + t^8.91*y + 2*t^8.94*y + 2*t^8.96*y + 6*t^8.98*y	(g2^2*t^2.07)/g1^10 + (2*t^2.11)/(g1^4*g2^4) + g1^6*g2^6*t^2.83 + (g2^10*t^3.84)/g1^2 + 2*g1*g2^7*t^3.87 + 2*g1^7*g2*t^3.91 + (g2^4*t^4.14)/g1^20 + (2*t^4.18)/(g1^14*g2^2) + (3*t^4.23)/(g1^8*g2^8) + (g2^8*t^4.9)/g1^4 + 3*g1^2*g2^2*t^4.94 + g1^12*g2^12*t^5.66 + (g2^12*t^5.91)/g1^12 + (2*g2^9*t^5.94)/g1^9 + (g2^6*t^5.96)/g1^6 + (4*g2^3*t^5.98)/g1^3 - 3*t^6. + (2*g1^3*t^6.02)/g2^3 - (g1^6*t^6.04)/g2^6 + (g2^6*t^6.21)/g1^30 + (2*t^6.25)/g1^24 + (3*t^6.3)/(g1^18*g2^6) + (4*t^6.34)/(g1^12*g2^12) + g1^4*g2^16*t^6.67 + 2*g1^7*g2^13*t^6.7 + 2*g1^13*g2^7*t^6.74 + (g2^10*t^6.97)/g1^14 + (2*g2^4*t^7.01)/g1^8 - (2*g2*t^7.04)/g1^5 + (3*t^7.06)/(g1^2*g2^2) - (2*g1*t^7.08)/g2^5 - (g1^4*t^7.1)/g2^8 + (g2^20*t^7.69)/g1^4 + (2*g2^17*t^7.71)/g1 + 3*g1^2*g2^14*t^7.73 + 4*g1^8*g2^8*t^7.77 - 2*g1^11*g2^5*t^7.8 + 2*g1^14*g2^2*t^7.82 + (g2^14*t^7.98)/g1^22 + (2*g2^11*t^8.01)/g1^19 + (g2^8*t^8.03)/g1^16 + (4*g2^5*t^8.05)/g1^13 - (2*g2^2*t^8.07)/g1^10 + (4*t^8.09)/(g1^7*g2) - (6*t^8.11)/(g1^4*g2^4) + (2*t^8.13)/(g1*g2^7) - (2*g1^2*t^8.16)/g2^10 + (g2^8*t^8.28)/g1^40 + (2*g2^2*t^8.32)/g1^34 + (3*t^8.37)/(g1^28*g2^4) + (4*t^8.41)/(g1^22*g2^10) + (5*t^8.45)/(g1^16*g2^16) + g1^18*g2^18*t^8.49 + (g2^18*t^8.74)/g1^6 + (2*g2^15*t^8.77)/g1^3 + g2^12*t^8.79 + 4*g1^3*g2^9*t^8.81 - 5*g1^6*g2^6*t^8.83 + 2*g1^9*g2^3*t^8.85 - 2*g1^12*t^8.87 - t^4.06/(g1^2*g2^2*y) - t^6.13/(g1^12*y) - (2*t^6.17)/(g1^6*g2^6*y) + (2*t^7.18)/(g1^14*g2^2*y) + t^7.23/(g1^8*g2^8*y) + (g2^8*t^7.9)/(g1^4*y) + (4*g1^2*g2^2*t^7.94)/y + (g1^8*t^7.99)/(g2^4*y) - (g2^2*t^8.2)/(g1^22*y) - (2*t^8.24)/(g1^16*g2^4*y) - (3*t^8.28)/(g1^10*g2^10*y) + (g2^12*t^8.91)/(g1^12*y) + (2*g2^9*t^8.94)/(g1^9*y) + (2*g2^6*t^8.96)/(g1^6*y) + (6*g2^3*t^8.98)/(g1^3*y) - (t^4.06*y)/(g1^2*g2^2) - (t^6.13*y)/g1^12 - (2*t^6.17*y)/(g1^6*g2^6) + (2*t^7.18*y)/(g1^14*g2^2) + (t^7.23*y)/(g1^8*g2^8) + (g2^8*t^7.9*y)/g1^4 + 4*g1^2*g2^2*t^7.94*y + (g1^8*t^7.99*y)/g2^4 - (g2^2*t^8.2*y)/g1^22 - (2*t^8.24*y)/(g1^16*g2^4) - (3*t^8.28*y)/(g1^10*g2^10) + (g2^12*t^8.91*y)/g1^12 + (2*g2^9*t^8.94*y)/g1^9 + (2*g2^6*t^8.96*y)/g1^6 + (6*g2^3*t^8.98*y)/g1^3

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
139	$\phi_1q_1^2$ + $\phi_1q_2^2$ + $M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1\tilde{q}_1^2$ + $M_2\phi_1\tilde{q}_2^2$	0.6484	0.7953	0.8152	[X:[], M:[0.7026, 0.7026], q:[0.8244, 0.8244], qb:[0.4731, 0.4731], phi:[0.3513]]	3*t^2.11 + t^2.84 + 5*t^3.89 + 6*t^4.22 + 4*t^4.95 + t^5.68 + 6*t^6. - t^4.05/y - t^4.05*y	detail
140	$\phi_1q_1^2$ + $\phi_1q_2^2$ + $M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1\tilde{q}_1^2$ + $M_2^2$	0.5957	0.7299	0.8162	[X:[], M:[0.7645, 1.0], q:[0.8089, 0.8089], qb:[0.3089, 0.5443], phi:[0.3823]]	2*t^2.29 + t^2.56 + t^3. + 2*t^3.35 + 2*t^4.06 + t^4.41 + 3*t^4.59 + 3*t^4.85 + t^5.12 + t^5.29 + t^5.56 + 2*t^5.65 + 2*t^5.91 - 2*t^6. - t^4.15/y - t^4.15*y	detail
141	$\phi_1q_1^2$ + $\phi_1q_2^2$ + $M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $M_2\phi_1\tilde{q}_1^2$ + $M_3\phi_1\tilde{q}_2^2$	0.6689	0.8346	0.8015	[X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]]	4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*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
57	SU2adj1nf2	$\phi_1q_1^2$ + $\phi_1q_2^2$ + $M_1\phi_1\tilde{q}_1\tilde{q}_2$	0.6279	0.7568	0.8297	[X:[], M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]]	2*t^2.12 + t^2.81 + 6*t^3.88 + 3*t^4.25 + 3*t^4.94 + t^5.63 + 3*t^6. - t^4.06/y - t^4.06*y	detail