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
47935	SU3adj1nf2	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4747	1.6858	0.8748	[M:[0.9898], q:[0.5051, 0.4847], qb:[0.5051, 0.4847], phi:[0.3367]]	[M:[[3, 0, 3]], q:[[-3, -1, -3], [9, 0, 0]], qb:[[0, 1, 0], [0, 0, 9]], phi:[[-1, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1	t^2.02 + t^2.908 + 3*t^2.969 + t^3.031 + t^3.919 + 2*t^3.98 + 2*t^4.041 + 2*t^4.929 + 5*t^4.99 + 2*t^5.051 + 2*t^5.434 + 2*t^5.495 + t^5.817 + 3*t^5.878 + 6*t^5.939 + t^6. + t^6.061 + 2*t^6.444 + 2*t^6.505 + t^6.827 + 5*t^6.888 + 8*t^6.949 + 7*t^7.01 + t^7.071 + 2*t^7.393 + 2*t^7.454 + 2*t^7.515 + 2*t^7.576 + 3*t^7.837 + 9*t^7.898 + 13*t^7.959 + 5*t^8.02 + t^8.081 + 2*t^8.342 + 6*t^8.403 + 4*t^8.464 - 2*t^8.525 - 2*t^8.586 + t^8.725 + 3*t^8.786 + 7*t^8.847 + 11*t^8.908 + 3*t^8.969 - t^4.01/y - t^5.02/y - t^6.031/y - t^6.919/y - (3*t^6.98)/y - (2*t^7.041)/y + t^7.99/y - t^8.051/y + (3*t^8.878)/y + (3*t^8.939)/y - t^4.01*y - t^5.02*y - t^6.031*y - t^6.919*y - 3*t^6.98*y - 2*t^7.041*y + t^7.99*y - t^8.051*y + 3*t^8.878*y + 3*t^8.939*y	t^2.02/(g1^2*g3^2) + g1^9*g3^9*t^2.908 + g1^9*g2*t^2.969 + g1^3*g3^3*t^2.969 + (g3^6*t^2.969)/(g1^3*g2) + t^3.031/(g1^3*g3^3) + g1^8*g3^8*t^3.919 + (g1^8*g2*t^3.98)/g3 + (g3^5*t^3.98)/(g1^4*g2) + (2*t^4.041)/(g1^4*g3^4) + 2*g1^7*g3^7*t^4.929 + (2*g1^7*g2*t^4.99)/g3^2 + g1*g3*t^4.99 + (2*g3^4*t^4.99)/(g1^5*g2) + (2*t^5.051)/(g1^5*g3^5) + (g1^14*t^5.434)/(g2*g3^4) + (g2*g3^17*t^5.434)/g1 + (g1^2*t^5.495)/(g2^2*g3^7) + (g2^2*g3^8*t^5.495)/g1 + g1^18*g3^18*t^5.817 + g1^18*g2*g3^9*t^5.878 + g1^12*g3^12*t^5.878 + (g1^6*g3^15*t^5.878)/g2 + g1^18*g2^2*t^5.939 + 4*g1^6*g3^6*t^5.939 + (g3^12*t^5.939)/(g1^6*g2^2) - 3*t^6. + (2*g1^6*g2*t^6.)/g3^3 + (2*g3^3*t^6.)/(g1^6*g2) - (g2*t^6.061)/g3^9 + (3*t^6.061)/(g1^6*g3^6) - t^6.061/(g1^12*g2*g3^3) + (g1^13*t^6.444)/(g2*g3^5) + (g2*g3^16*t^6.444)/g1^2 + (g1*t^6.505)/(g2^2*g3^8) + (g2^2*g3^7*t^6.505)/g1^2 + g1^17*g3^17*t^6.827 + 2*g1^17*g2*g3^8*t^6.888 + g1^11*g3^11*t^6.888 + (2*g1^5*g3^14*t^6.888)/g2 + (g1^17*g2^2*t^6.949)/g3 + 6*g1^5*g3^5*t^6.949 + (g3^11*t^6.949)/(g1^7*g2^2) + (4*g1^5*g2*t^7.01)/g3^4 - t^7.01/(g1*g3) + (4*g3^2*t^7.01)/(g1^7*g2) - (g2*t^7.071)/(g1*g3^10) + (3*t^7.071)/(g1^7*g3^7) - t^7.071/(g1^13*g2*g3^4) + (g1^24*t^7.393)/g3^3 + (g3^24*t^7.393)/g1^3 + (2*g1^12*t^7.454)/(g2*g3^6) - (g1^6*t^7.454)/(g2^2*g3^3) - g1^3*g2^2*g3^12*t^7.454 + (2*g2*g3^15*t^7.454)/g1^3 - (g1^6*t^7.515)/(g2*g3^12) + (2*t^7.515)/(g2^2*g3^9) + (2*g2^2*g3^6*t^7.515)/g1^3 - (g2*g3^9*t^7.515)/g1^9 + t^7.576/(g1^12*g2^3*g3^12) + (g2^3*t^7.576)/(g1^3*g3^3) + 3*g1^16*g3^16*t^7.837 + 4*g1^16*g2*g3^7*t^7.898 + g1^10*g3^10*t^7.898 + (4*g1^4*g3^13*t^7.898)/g2 + (3*g1^16*g2^2*t^7.959)/g3^2 - g1^10*g2*g3*t^7.959 + 9*g1^4*g3^4*t^7.959 - (g3^7*t^7.959)/(g1^2*g2) + (3*g3^10*t^7.959)/(g1^8*g2^2) + (5*g1^4*g2*t^8.02)/g3^5 - (5*t^8.02)/(g1^2*g3^2) + (5*g3*t^8.02)/(g1^8*g2) - (2*g2*t^8.081)/(g1^2*g3^11) + (5*t^8.081)/(g1^8*g3^8) - (2*t^8.081)/(g1^14*g2*g3^5) + (g1^23*g3^5*t^8.342)/g2 + g1^8*g2*g3^26*t^8.342 + (g1^23*t^8.403)/g3^4 + (2*g1^11*g3^2*t^8.403)/g2^2 + 2*g1^8*g2^2*g3^17*t^8.403 + (g3^23*t^8.403)/g1^4 - (g1^17*t^8.464)/g3^10 + (3*g1^11*t^8.464)/(g2*g3^7) - (g1^5*t^8.464)/(g2^2*g3^4) + t^8.464/(g1*g2^3*g3) + g1^8*g2^3*g3^8*t^8.464 - g1^2*g2^2*g3^11*t^8.464 + (3*g2*g3^14*t^8.464)/g1^4 - (g3^17*t^8.464)/g1^10 - (2*g1^5*t^8.525)/(g2*g3^13) + (2*t^8.525)/(g1*g2^2*g3^10) - t^8.525/(g1^7*g2^3*g3^7) - g1^2*g2^3*g3^2*t^8.525 + (2*g2^2*g3^5*t^8.525)/g1^4 - (2*g2*g3^8*t^8.525)/g1^10 - t^8.586/(g1^7*g2^2*g3^16) - (g2^2*t^8.586)/(g1^10*g3) + g1^27*g3^27*t^8.725 + g1^27*g2*g3^18*t^8.786 + g1^21*g3^21*t^8.786 + (g1^15*g3^24*t^8.786)/g2 + g1^27*g2^2*g3^9*t^8.847 + 5*g1^15*g3^15*t^8.847 + (g1^3*g3^21*t^8.847)/g2^2 + g1^27*g2^3*t^8.908 + 6*g1^15*g2*g3^6*t^8.908 - 3*g1^9*g3^9*t^8.908 + (6*g1^3*g3^12*t^8.908)/g2 + (g3^18*t^8.908)/(g1^9*g2^3) - 6*g1^9*g2*t^8.969 + (3*g1^15*g2^2*t^8.969)/g3^3 + 9*g1^3*g3^3*t^8.969 - (6*g3^6*t^8.969)/(g1^3*g2) + (3*g3^9*t^8.969)/(g1^9*g2^2) - t^4.01/(g1*g3*y) - t^5.02/(g1^2*g3^2*y) - t^6.031/(g1^3*g3^3*y) - (g1^8*g3^8*t^6.919)/y - (g1^8*g2*t^6.98)/(g3*y) - (g1^2*g3^2*t^6.98)/y - (g3^5*t^6.98)/(g1^4*g2*y) - (2*t^7.041)/(g1^4*g3^4*y) + (g1*g3*t^7.99)/y - t^8.051/(g1^5*g3^5*y) + (g1^18*g2*g3^9*t^8.878)/y + (g1^12*g3^12*t^8.878)/y + (g1^6*g3^15*t^8.878)/(g2*y) + (g1^12*g2*g3^3*t^8.939)/y + (g1^6*g3^6*t^8.939)/y + (g3^9*t^8.939)/(g2*y) - (t^4.01*y)/(g1*g3) - (t^5.02*y)/(g1^2*g3^2) - (t^6.031*y)/(g1^3*g3^3) - g1^8*g3^8*t^6.919*y - (g1^8*g2*t^6.98*y)/g3 - g1^2*g3^2*t^6.98*y - (g3^5*t^6.98*y)/(g1^4*g2) - (2*t^7.041*y)/(g1^4*g3^4) + g1*g3*t^7.99*y - (t^8.051*y)/(g1^5*g3^5) + g1^18*g2*g3^9*t^8.878*y + g1^12*g3^12*t^8.878*y + (g1^6*g3^15*t^8.878*y)/g2 + g1^12*g2*g3^3*t^8.939*y + g1^6*g3^6*t^8.939*y + (g3^9*t^8.939*y)/g2

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
57651	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.4955	1.727	0.8659	[X:[], M:[0.99, 0.6722], q:[0.5044, 0.4856], qb:[0.5056, 0.4844], phi:[0.3367]]	2*t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + t^3.98 + t^4.03 + 3*t^4.04 + 3*t^4.93 + t^4.98 + 7*t^4.99 + 3*t^5.05 + t^5.43 + t^5.44 + t^5.49 + t^5.5 + t^5.82 + 3*t^5.88 + t^5.93 + 5*t^5.94 + t^5.95 + t^5.99 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
57650	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4954	1.7253	0.8667	[X:[], M:[0.992, 0.6879], q:[0.504, 0.4881], qb:[0.504, 0.4881], phi:[0.336]]	t^2.02 + t^2.06 + t^2.93 + 3*t^2.98 + t^3.02 + 2*t^3.98 + 2*t^4.03 + t^4.08 + t^4.13 + 2*t^4.94 + 6*t^4.99 + 5*t^5.04 + t^5.09 + 2*t^5.45 + 2*t^5.5 + t^5.86 + 3*t^5.9 + 5*t^5.95 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
57648	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4759	1.6899	0.8734	[X:[], M:[0.9832, 0.9832], q:[0.5084, 0.4748], qb:[0.5084, 0.4748], phi:[0.3389]]	t^2.03 + t^2.85 + 4*t^2.95 + t^3.87 + 2*t^3.97 + 2*t^4.07 + 2*t^4.88 + 6*t^4.98 + t^5.08 + 2*t^5.39 + 2*t^5.49 + t^5.7 + 4*t^5.8 + 9*t^5.9 - 2*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*y	detail
57674	${}M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	0.9804	1.0983	0.8927	[X:[1.4227, 1.4432], M:[1.1341], q:[0.2337, 1.0792], qb:[0.6322, 0.3231], phi:[0.2886]]	t^2.54 + t^2.6 + 2*t^3.4 + t^4.21 + t^4.27 + t^4.33 + 2*t^4.7 + t^5.07 + 2*t^5.13 + 2*t^5.51 + 2*t^5.94 - t^6. - t^3.87/y - t^4.73/y - t^3.87*y - t^4.73*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
47870	SU3adj1nf2	${}M_{1}\phi_{1}^{3}$	1.4767	1.6956	0.8709	[M:[0.961], q:[0.4805, 0.4805], qb:[0.4805, 0.4805], phi:[0.3463]]	t^2.078 + 5*t^2.883 + 4*t^3.922 + t^4.156 + 9*t^4.961 + 4*t^5.363 + 15*t^5.766 - 4*t^6. - t^4.039/y - t^5.078/y - t^4.039*y - t^5.078*y	detail