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
56411	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.7034	0.8849	0.795	[M:[0.7316, 1.0078, 1.0895, 0.8132, 1.0895, 0.9105, 0.7316], q:[0.4961, 0.7724], qb:[0.4961, 0.4144], phi:[0.4553]]	[M:[[12], [22], [-4], [-14], [-4], [4], [12]], q:[[-11], [-1]], qb:[[-11], [15]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$	${}M_{3}\phi_{1}^{2}$	-3	2*t^2.195 + t^2.44 + 2*t^2.732 + t^3.024 + t^3.268 + t^3.852 + 2*t^4.097 + 3*t^4.342 + 3*t^4.389 + 2*t^4.634 + t^4.879 + 4*t^4.926 + 2*t^5.171 + 2*t^5.218 + 6*t^5.463 + t^5.708 - 3*t^6. + 3*t^6.047 - 2*t^6.245 + 5*t^6.292 + 6*t^6.537 + 6*t^6.584 + 3*t^6.782 + 4*t^6.829 + t^6.876 + 5*t^7.074 + 6*t^7.121 + t^7.319 + 3*t^7.366 + 3*t^7.413 + 9*t^7.658 + t^7.705 + 2*t^7.903 + 2*t^7.95 - t^8.148 + 5*t^8.242 - 5*t^8.44 + 8*t^8.487 + 3*t^8.684 + 3*t^8.732 + 9*t^8.779 + 2*t^8.976 - t^4.366/y - (2*t^6.56)/y - t^6.805/y + t^7.342/y + (2*t^7.634)/y + (5*t^7.926)/y + (4*t^8.171)/y + (2*t^8.218)/y + (4*t^8.463)/y + t^8.708/y - t^8.755/y - t^4.366*y - 2*t^6.56*y - t^6.805*y + t^7.342*y + 2*t^7.634*y + 5*t^7.926*y + 4*t^8.171*y + 2*t^8.218*y + 4*t^8.463*y + t^8.708*y - t^8.755*y	2*g1^12*t^2.195 + t^2.44/g1^14 + 2*g1^4*t^2.732 + g1^22*t^3.024 + t^3.268/g1^4 + g1^32*t^3.852 + 2*g1^6*t^4.097 + (3*t^4.342)/g1^20 + 3*g1^24*t^4.389 + (2*t^4.634)/g1^2 + t^4.879/g1^28 + 4*g1^16*t^4.926 + (2*t^5.171)/g1^10 + 2*g1^34*t^5.218 + 6*g1^8*t^5.463 + t^5.708/g1^18 - 3*t^6. + 3*g1^44*t^6.047 - (2*t^6.245)/g1^26 + 5*g1^18*t^6.292 + (6*t^6.537)/g1^8 + 6*g1^36*t^6.584 + (3*t^6.782)/g1^34 + 4*g1^10*t^6.829 + g1^54*t^6.876 + (5*t^7.074)/g1^16 + 6*g1^28*t^7.121 + t^7.319/g1^42 + 3*g1^2*t^7.366 + 3*g1^46*t^7.413 + 9*g1^20*t^7.658 + g1^64*t^7.705 + (2*t^7.903)/g1^6 + 2*g1^38*t^7.95 - t^8.148/g1^32 + 5*g1^56*t^8.242 - (5*t^8.44)/g1^14 + 8*g1^30*t^8.487 + (3*t^8.684)/g1^40 + 3*g1^4*t^8.732 + 9*g1^48*t^8.779 + (2*t^8.976)/g1^22 - (g1^2*t^4.366)/y - (2*g1^14*t^6.56)/y - t^6.805/(g1^12*y) + t^7.342/(g1^20*y) + (2*t^7.634)/(g1^2*y) + (5*g1^16*t^7.926)/y + (4*t^8.171)/(g1^10*y) + (2*g1^34*t^8.218)/y + (4*g1^8*t^8.463)/y + t^8.708/(g1^18*y) - (g1^26*t^8.755)/y - g1^2*t^4.366*y - 2*g1^14*t^6.56*y - (t^6.805*y)/g1^12 + (t^7.342*y)/g1^20 + (2*t^7.634*y)/g1^2 + 5*g1^16*t^7.926*y + (4*t^8.171*y)/g1^10 + 2*g1^34*t^8.218*y + 4*g1^8*t^8.463*y + (t^8.708*y)/g1^18 - g1^26*t^8.755*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
58661	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.7238	0.9235	0.7838	[M:[0.7379, 1.0195, 1.0874, 0.8058, 1.0874, 0.9126, 0.7379, 0.6989], q:[0.4903, 0.7718], qb:[0.4903, 0.4224], phi:[0.4563]]	t^2.097 + 2*t^2.214 + t^2.417 + 2*t^2.738 + t^3.058 + t^3.262 + 2*t^4.107 + t^4.194 + 5*t^4.311 + 3*t^4.427 + t^4.514 + 2*t^4.631 + 3*t^4.835 + 4*t^4.952 + 3*t^5.155 + 2*t^5.272 + t^5.359 + 6*t^5.476 + t^5.679 - 3*t^6. - t^4.369/y - t^4.369*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

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
52059	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$	0.6838	0.8483	0.8061	[M:[0.7364, 1.0167, 1.0879, 0.8076, 1.0879, 0.9121], q:[0.4916, 0.772], qb:[0.4916, 0.4205], phi:[0.4561]]	t^2.209 + t^2.423 + 2*t^2.736 + t^3.05 + t^3.264 + t^3.791 + t^3.891 + 2*t^4.105 + 3*t^4.318 + t^4.418 + t^4.632 + t^4.845 + 2*t^4.946 + 2*t^5.159 + t^5.259 + 5*t^5.473 + t^5.686 - 2*t^6. - t^4.368/y - t^4.368*y	detail	{a: 144062/210681, c: 357433/421362, M1: 338/459, M2: 1400/1377, M3: 1498/1377, M4: 1112/1377, M5: 1498/1377, M6: 1256/1377, q1: 677/1377, q2: 1063/1377, qb1: 677/1377, qb2: 193/459, phi1: 628/1377}