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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
40	SU2adj1nf2	$M_1q_1q_2$	0.7247	0.8687	0.8342	[X:[], M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]]	[X:[], M:[[-4, -4, 0, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]]	4

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
$M_1$, $\phi_1^2$, $\tilde{q}_1\tilde{q}_2$, $q_1\tilde{q}_1$, $q_2\tilde{q}_1$, $q_1\tilde{q}_2$, $q_2\tilde{q}_2$, $\phi_1\tilde{q}_1^2$, $\phi_1\tilde{q}_1\tilde{q}_2$, $\phi_1\tilde{q}_2^2$, $\phi_1q_1\tilde{q}_1$, $\phi_1q_2\tilde{q}_1$, $\phi_1q_1\tilde{q}_2$, $\phi_1q_2\tilde{q}_2$, $M_1^2$, $\phi_1q_1^2$, $\phi_1q_1q_2$, $\phi_1q_2^2$, $M_1\phi_1^2$, $\phi_1^4$, $M_1\tilde{q}_1\tilde{q}_2$, $\phi_1^2\tilde{q}_1\tilde{q}_2$	$\phi_1^2q_1\tilde{q}_1$, $\phi_1^2q_2\tilde{q}_1$, $\phi_1^2q_1\tilde{q}_2$, $\phi_1^2q_2\tilde{q}_2$	-4	t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - 4*t^6.13 + t^6.7 + 4*t^6.82 + 9*t^6.95 + 3*t^7.01 + 3*t^7.14 + t^7.2 + t^7.32 - t^7.39 + t^7.45 + t^7.57 + 3*t^7.96 + 9*t^8.09 + t^8.15 + 8*t^8.21 + t^8.27 + 5*t^8.34 - 4*t^8.4 - 4*t^8.52 - t^8.65 - t^4.26/y - t^6.66/y - t^6.79/y + t^7.74/y + t^7.86/y + t^7.92/y + t^8.75/y + (5*t^8.87)/y - t^4.26*y - t^6.66*y - t^6.79*y + t^7.74*y + t^7.86*y + t^7.92*y + t^8.75*y + 5*t^8.87*y	t^2.4/(g1^4*g2^4) + t^2.52/(g1^2*g2^2*g3^2*g4^2) + g3^4*g4^4*t^3.35 + g1^4*g3^4*t^3.48 + g2^4*g3^4*t^3.48 + g1^4*g4^4*t^3.48 + g2^4*g4^4*t^3.48 + (g3^7*t^4.61)/(g1*g2*g4) + (g3^3*g4^3*t^4.61)/(g1*g2) + (g4^7*t^4.61)/(g1*g2*g3) + (g1^3*g3^3*t^4.74)/(g2*g4) + (g2^3*g3^3*t^4.74)/(g1*g4) + (g1^3*g4^3*t^4.74)/(g2*g3) + (g2^3*g4^3*t^4.74)/(g1*g3) + t^4.8/(g1^8*g2^8) + (g1^7*t^4.86)/(g2*g3*g4) + (g1^3*g2^3*t^4.86)/(g3*g4) + (g2^7*t^4.86)/(g1*g3*g4) + t^4.92/(g1^6*g2^6*g3^2*g4^2) + t^5.05/(g1^4*g2^4*g3^4*g4^4) + (g3^4*g4^4*t^5.75)/(g1^4*g2^4) + (g3^2*g4^2*t^5.87)/(g1^2*g2^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g3^4*t^6.)/g4^4 + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) - (g4^4*t^6.)/g3^4 - (g1^4*t^6.13)/g3^4 - (g2^4*t^6.13)/g3^4 - (g1^4*t^6.13)/g4^4 - (g2^4*t^6.13)/g4^4 + g3^8*g4^8*t^6.7 + g1^4*g3^8*g4^4*t^6.82 + g2^4*g3^8*g4^4*t^6.82 + g1^4*g3^4*g4^8*t^6.82 + g2^4*g3^4*g4^8*t^6.82 + g1^8*g3^8*t^6.95 + g1^4*g2^4*g3^8*t^6.95 + g2^8*g3^8*t^6.95 + g1^8*g3^4*g4^4*t^6.95 + g1^4*g2^4*g3^4*g4^4*t^6.95 + g2^8*g3^4*g4^4*t^6.95 + g1^8*g4^8*t^6.95 + g1^4*g2^4*g4^8*t^6.95 + g2^8*g4^8*t^6.95 + (g3^7*t^7.01)/(g1^5*g2^5*g4) + (g3^3*g4^3*t^7.01)/(g1^5*g2^5) + (g4^7*t^7.01)/(g1^5*g2^5*g3) + (g3^5*t^7.14)/(g1^3*g2^3*g4^3) + (g3*g4*t^7.14)/(g1^3*g2^3) + (g4^5*t^7.14)/(g1^3*g2^3*g3^3) + t^7.2/(g1^12*g2^12) - (g3^3*t^7.26)/(g1*g2*g4^5) + (g1*g3*t^7.26)/(g2^3*g4^3) + (g2*g3*t^7.26)/(g1^3*g4^3) - (2*t^7.26)/(g1*g2*g3*g4) + (g1*g4*t^7.26)/(g2^3*g3^3) + (g2*g4*t^7.26)/(g1^3*g3^3) - (g4^3*t^7.26)/(g1*g2*g3^5) + t^7.32/(g1^10*g2^10*g3^2*g4^2) - (g1^3*t^7.39)/(g2*g3*g4^5) - (g2^3*t^7.39)/(g1*g3*g4^5) + (g1^5*t^7.39)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.39)/(g3^3*g4^3) + (g2^5*t^7.39)/(g1^3*g3^3*g4^3) - (g1^3*t^7.39)/(g2*g3^5*g4) - (g2^3*t^7.39)/(g1*g3^5*g4) + t^7.45/(g1^8*g2^8*g3^4*g4^4) + t^7.57/(g1^6*g2^6*g3^6*g4^6) + (g3^11*g4^3*t^7.96)/(g1*g2) + (g3^7*g4^7*t^7.96)/(g1*g2) + (g3^3*g4^11*t^7.96)/(g1*g2) + (g1^3*g3^11*t^8.09)/(g2*g4) + (g2^3*g3^11*t^8.09)/(g1*g4) - g1*g2*g3^9*g4*t^8.09 + (2*g1^3*g3^7*g4^3*t^8.09)/g2 + (2*g2^3*g3^7*g4^3*t^8.09)/g1 - g1*g2*g3^5*g4^5*t^8.09 + (2*g1^3*g3^3*g4^7*t^8.09)/g2 + (2*g2^3*g3^3*g4^7*t^8.09)/g1 - g1*g2*g3*g4^9*t^8.09 + (g1^3*g4^11*t^8.09)/(g2*g3) + (g2^3*g4^11*t^8.09)/(g1*g3) + (g3^4*g4^4*t^8.15)/(g1^8*g2^8) + (g1^7*g3^7*t^8.21)/(g2*g4) + (g1^3*g2^3*g3^7*t^8.21)/g4 + (g2^7*g3^7*t^8.21)/(g1*g4) - g1^5*g2*g3^5*g4*t^8.21 - g1*g2^5*g3^5*g4*t^8.21 + (2*g1^7*g3^3*g4^3*t^8.21)/g2 + 2*g1^3*g2^3*g3^3*g4^3*t^8.21 + (2*g2^7*g3^3*g4^3*t^8.21)/g1 - g1^5*g2*g3*g4^5*t^8.21 - g1*g2^5*g3*g4^5*t^8.21 + (g1^7*g4^7*t^8.21)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.21)/g3 + (g2^7*g4^7*t^8.21)/(g1*g3) + (g3^2*g4^2*t^8.27)/(g1^6*g2^6) + (g1^11*g3^3*t^8.34)/(g2*g4) + (g1^7*g2^3*g3^3*t^8.34)/g4 + (g1^3*g2^7*g3^3*t^8.34)/g4 + (g2^11*g3^3*t^8.34)/(g1*g4) - g1^9*g2*g3*g4*t^8.34 - g1^5*g2^5*g3*g4*t^8.34 - g1*g2^9*g3*g4*t^8.34 + (g1^11*g4^3*t^8.34)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.34)/g3 + (g1^3*g2^7*g4^3*t^8.34)/g3 + (g2^11*g4^3*t^8.34)/(g1*g3) - (2*t^8.4)/(g1^4*g2^4) - (g3^4*t^8.4)/(g1^4*g2^4*g4^4) - (g4^4*t^8.4)/(g1^4*g2^4*g3^4) + t^8.52/(g1^4*g3^4) + t^8.52/(g2^4*g3^4) - (g3^2*t^8.52)/(g1^2*g2^2*g4^6) + t^8.52/(g1^4*g4^4) + t^8.52/(g2^4*g4^4) - (g1^2*t^8.52)/(g2^6*g3^2*g4^2) - (4*t^8.52)/(g1^2*g2^2*g3^2*g4^2) - (g2^2*t^8.52)/(g1^6*g3^2*g4^2) - (g4^2*t^8.52)/(g1^2*g2^2*g3^6) + t^8.65/g3^8 + t^8.65/g4^8 - (g1^2*t^8.65)/(g2^2*g3^2*g4^6) - (g2^2*t^8.65)/(g1^2*g3^2*g4^6) + t^8.65/(g3^4*g4^4) - (g1^2*t^8.65)/(g2^2*g3^6*g4^2) - (g2^2*t^8.65)/(g1^2*g3^6*g4^2) - t^4.26/(g1*g2*g3*g4*y) - t^6.66/(g1^5*g2^5*g3*g4*y) - t^6.79/(g1^3*g2^3*g3^3*g4^3*y) + (g1*g2*g3*g4*t^7.74)/y + (g1^3*g2^3*t^7.86)/(g3*g4*y) + t^7.92/(g1^6*g2^6*g3^2*g4^2*y) + (g3^4*g4^4*t^8.75)/(g1^4*g2^4*y) + (g3^4*t^8.87)/(g1^4*y) + (g3^4*t^8.87)/(g2^4*y) + (g3^2*g4^2*t^8.87)/(g1^2*g2^2*y) + (g4^4*t^8.87)/(g1^4*y) + (g4^4*t^8.87)/(g2^4*y) - (t^4.26*y)/(g1*g2*g3*g4) - (t^6.66*y)/(g1^5*g2^5*g3*g4) - (t^6.79*y)/(g1^3*g2^3*g3^3*g4^3) + g1*g2*g3*g4*t^7.74*y + (g1^3*g2^3*t^7.86*y)/(g3*g4) + (t^7.92*y)/(g1^6*g2^6*g3^2*g4^2) + (g3^4*g4^4*t^8.75*y)/(g1^4*g2^4) + (g3^4*t^8.87*y)/g1^4 + (g3^4*t^8.87*y)/g2^4 + (g3^2*g4^2*t^8.87*y)/(g1^2*g2^2) + (g4^4*t^8.87*y)/g1^4 + (g4^4*t^8.87*y)/g2^4

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
53	$M_1q_1q_2$ + $M_2\phi_1^2$	0.7121	0.8517	0.8362	[X:[], M:[0.8278, 1.1256], q:[0.5861, 0.5861], qb:[0.5395, 0.5395], phi:[0.4372]]	t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*y	detail
45838	$M_1q_1q_2$ + $M_2q_1\tilde{q}_1$	0.7406	0.8961	0.8265	[X:[], M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]]	2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y	detail
55	$M_1q_1q_2$ + $M_2\tilde{q}_1\tilde{q}_2$	0.7382	0.8885	0.8308	[X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y	detail
45825	$M_1q_1q_2$ + $\phi_1q_1^2$	0.694	0.8411	0.8251	[X:[], M:[0.6741], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]]	t^2.02 + t^2.43 + 3*t^3.16 + 2*t^3.97 + t^4.04 + 3*t^4.37 + 2*t^4.38 + t^4.39 + t^4.46 + t^4.87 + t^5.18 + 2*t^5.19 + t^5.59 + 2*t^5.6 - 5*t^6. - t^4.22/y - t^4.22*y	detail
54	$M_1q_1q_2$ + $\phi_1\tilde{q}_1\tilde{q}_2$ + $\phi_1^2X_1$	0.5833	0.6667	0.875	[X:[1.3333], M:[1.0], q:[0.5, 0.5], qb:[0.8333, 0.8333], phi:[0.3333]]	t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y	detail	{a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 1/2, q2: 1/2, qb1: 5/6, qb2: 5/6, phi1: 1/3}
52	$M_1q_1q_2$ + $\phi_1^2\tilde{q}_1\tilde{q}_2$	0.7232	0.8641	0.8369	[X:[], M:[0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]]	2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*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
55671	SU2adj1nf3	$\phi_1q_1q_2$ + $q_2q_3$ + $M_1\tilde{q}_1\tilde{q}_2$	0.7247	0.8687	0.8342	[X:[], M:[0.7995], q:[0.5581, 1.0211, 0.9789], qb:[0.6003, 0.6003, 0.5581], phi:[0.4208]]	t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y	detail

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
36	SU2adj1nf2	.	0.7103	0.8462	0.8394	[X:[], M:[], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]]	t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. - t^4.3/y - t^4.3*y	detail