Landscape

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(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) 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(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) 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(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) 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(9): 2 rank-2 symm + 1 fund (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 Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) 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
60685	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$	1.4205	1.6501	0.8609	[X:[], M:[0.8982, 1.1018], q:[0.3843, 0.5079], qb:[0.5539, 0.3502], phi:[0.3673]]	[X:[], M:[[-3, 3], [3, -3]], q:[[2, -8], [-14, 8]], qb:[[6, 0], [0, 6]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-3	2*t^2.2 + t^2.57 + t^2.81 + t^3.19 + 2*t^3.31 + t^3.68 + t^3.92 + t^4.29 + 4*t^4.41 + 3*t^4.78 + t^4.86 + t^4.93 + 3*t^5.02 + t^5.15 + t^5.3 + 3*t^5.39 + t^5.48 + 4*t^5.51 + t^5.76 + 4*t^5.88 + t^5.97 - 3*t^6. + t^6.03 + 4*t^6.12 + t^6.25 + t^6.4 + t^6.46 + 5*t^6.49 + t^6.58 + 8*t^6.61 + t^6.76 + 2*t^6.86 + 8*t^6.98 - t^7.02 + 3*t^7.07 - 2*t^7.1 + 3*t^7.14 - t^7.19 + 8*t^7.22 + 4*t^7.35 + t^7.44 - t^7.47 + 4*t^7.51 - t^7.56 + 9*t^7.59 - t^7.63 + 3*t^7.68 + 6*t^7.71 + t^7.72 + t^7.83 + 2*t^7.88 + 5*t^7.96 + t^8.05 + 9*t^8.08 + 4*t^8.17 - 7*t^8.2 + 4*t^8.24 + 10*t^8.32 + t^8.33 - t^8.36 + 5*t^8.45 + 2*t^8.54 - 4*t^8.57 + 5*t^8.61 + 13*t^8.69 - 3*t^8.73 + 4*t^8.78 + 8*t^8.81 + t^8.83 + t^8.85 - t^8.9 + t^8.93 + 2*t^8.97 + 2*t^8.98 - t^4.1/y - t^5.2/y - (2*t^6.31)/y - t^6.68/y - t^6.92/y - t^7.29/y - (2*t^7.41)/y + t^7.78/y + t^7.9/y + t^8.02/y + (2*t^8.39)/y - t^8.51/y + t^8.76/y + t^8.88/y - t^4.1*y - t^5.2*y - 2*t^6.31*y - t^6.68*y - t^6.92*y - t^7.29*y - 2*t^7.41*y + t^7.78*y + t^7.9*y + t^8.02*y + 2*t^8.39*y - t^8.51*y + t^8.76*y + t^8.88*y	(2*g1^2*t^2.2)/g2^2 + (g2^14*t^2.57)/g1^14 + (g1^8*t^2.81)/g2^8 + (g2^8*t^3.19)/g1^8 + (2*g1^3*t^3.31)/g2^3 + (g2^13*t^3.68)/g1^13 + (g1^9*t^3.92)/g2^9 + (g2^7*t^4.29)/g1^7 + (4*g1^4*t^4.41)/g2^4 + (3*g2^12*t^4.78)/g1^12 + g1^7*g2^11*t^4.86 + t^4.93/(g1^9*g2^9) + (3*g1^10*t^5.02)/g2^10 + (g2^28*t^5.15)/g1^28 + (g2^7*t^5.3)/g1^25 + (3*g2^6*t^5.39)/g1^6 + g1^13*g2^5*t^5.48 + (4*g1^5*t^5.51)/g2^5 + (g2^22*t^5.76)/g1^22 + (4*g2^11*t^5.88)/g1^11 + g1^8*g2^10*t^5.97 - 3*t^6. + t^6.03/(g1^8*g2^10) + (4*g1^11*t^6.12)/g2^11 + (g2^27*t^6.25)/g1^27 + (g2^6*t^6.4)/g1^24 + g1^3*g2^15*t^6.46 + (5*g2^5*t^6.49)/g1^5 + g1^14*g2^4*t^6.58 + (8*g1^6*t^6.61)/g2^6 + (g1^9*t^6.76)/g2^27 + (2*g2^21*t^6.86)/g1^21 + (8*g2^10*t^6.98)/g1^10 - t^7.02/g1^18 + 3*g1^9*g2^9*t^7.07 - (2*g1*t^7.1)/g2 + (3*t^7.14)/(g1^7*g2^11) - (g1^20*t^7.19)/g2^2 + (8*g1^12*t^7.22)/g2^12 + (4*g2^26*t^7.35)/g1^26 + (g2^25*t^7.44)/g1^7 - (g2^15*t^7.47)/g1^15 + (4*g2^5*t^7.51)/g1^23 - g1^4*g2^14*t^7.56 + (9*g2^4*t^7.59)/g1^4 - t^7.63/(g1^12*g2^6) + 3*g1^15*g2^3*t^7.68 + (6*g1^7*t^7.71)/g2^7 + (g2^42*t^7.72)/g1^42 + (g1^18*t^7.83)/g2^18 + (2*g2^21*t^7.88)/g1^39 + (5*g2^20*t^7.96)/g1^20 + (g2^19*t^8.05)/g1 + (9*g2^9*t^8.08)/g1^9 + 4*g1^10*g2^8*t^8.17 - (7*g1^2*t^8.2)/g2^2 + (4*t^8.24)/(g1^6*g2^12) + (10*g1^13*t^8.32)/g2^13 + (g2^36*t^8.33)/g1^36 - (g1^5*t^8.36)/g2^23 + (5*g2^25*t^8.45)/g1^25 + (2*g2^24*t^8.54)/g1^6 - (4*g2^14*t^8.57)/g1^14 + (5*g2^4*t^8.61)/g1^22 + (13*g2^3*t^8.69)/g1^3 - (3*t^8.73)/(g1^11*g2^7) + 4*g1^16*g2^2*t^8.78 + (8*g1^8*t^8.81)/g2^8 + (g2^41*t^8.83)/g1^41 + t^8.85/g2^18 - (g1^27*t^8.9)/g2^9 + (g1^19*t^8.93)/g2^19 + (2*g1^11*t^8.97)/g2^29 + (2*g2^20*t^8.98)/g1^38 - (g1*t^4.1)/(g2*y) - (g1^2*t^5.2)/(g2^2*y) - (2*g1^3*t^6.31)/(g2^3*y) - (g2^13*t^6.68)/(g1^13*y) - (g1^9*t^6.92)/(g2^9*y) - (g2^7*t^7.29)/(g1^7*y) - (2*g1^4*t^7.41)/(g2^4*y) + (g2^12*t^7.78)/(g1^12*y) + (g2*t^7.9)/(g1*y) + (g1^10*t^8.02)/(g2^10*y) + (2*g2^6*t^8.39)/(g1^6*y) - (g1^5*t^8.51)/(g2^5*y) + (g2^22*t^8.76)/(g1^22*y) + (g2^11*t^8.88)/(g1^11*y) - (g1*t^4.1*y)/g2 - (g1^2*t^5.2*y)/g2^2 - (2*g1^3*t^6.31*y)/g2^3 - (g2^13*t^6.68*y)/g1^13 - (g1^9*t^6.92*y)/g2^9 - (g2^7*t^7.29*y)/g1^7 - (2*g1^4*t^7.41*y)/g2^4 + (g2^12*t^7.78*y)/g1^12 + (g2*t^7.9*y)/g1 + (g1^10*t^8.02*y)/g2^10 + (2*g2^6*t^8.39*y)/g1^6 - (g1^5*t^8.51*y)/g2^5 + (g2^22*t^8.76*y)/g1^22 + (g2^11*t^8.88*y)/g1^11

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
61085	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.4009	1.614	0.868	[X:[], M:[0.8977, 1.1023, 1.2651], q:[0.3852, 0.5063], qb:[0.5542, 0.3496], phi:[0.3674]]	t^2.2 + t^2.57 + t^2.82 + t^3.18 + 2*t^3.31 + t^3.67 + t^3.8 + t^3.92 + t^4.28 + 2*t^4.41 + 2*t^4.77 + t^4.86 + t^4.93 + 2*t^5.02 + t^5.14 + t^5.3 + 2*t^5.39 + t^5.48 + 2*t^5.51 + t^5.75 + 3*t^5.87 + t^5.97 - 2*t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y	detail
61159	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$	0.8327	0.9433	0.8828	[X:[1.5385, 1.3846, 1.3846], M:[1.0769, 0.9231], q:[0.1538, 1.2308], qb:[0.3077, 0.4615], phi:[0.3077]]	t^2.31 + t^2.77 + t^3.23 + 4*t^4.15 + 2*t^4.62 + 2*t^5.08 + 4*t^5.54 - 2*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y	detail	{a: 29271/35152, c: 16579/17576, X1: 20/13, X2: 18/13, X3: 18/13, M1: 14/13, M2: 12/13, q1: 2/13, q2: 16/13, qb1: 4/13, qb2: 6/13, phi1: 4/13}

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
57733	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4299	1.6663	0.8581	[X:[], M:[0.8964], q:[0.3877, 0.5019], qb:[0.5552, 0.348], phi:[0.3679]]	2*t^2.21 + t^2.55 + t^2.69 + t^2.83 + t^3.17 + t^3.31 + t^3.65 + t^3.93 + t^4.27 + 4*t^4.41 + 3*t^4.76 + t^4.86 + 2*t^4.9 + t^4.94 + 3*t^5.04 + t^5.1 + t^5.24 + t^5.28 + 4*t^5.38 + t^5.48 + 3*t^5.52 + t^5.72 + 4*t^5.86 + t^5.96 - 2*t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y	detail