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
1893	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6295	0.8188	0.7688	[M:[0.9716, 1.0851, 1.0284, 0.9149, 0.7478, 0.7947], q:[0.7429, 0.2855], qb:[0.4525, 0.4624], phi:[0.5142]]	[M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{2}^{2}$	-2	t^2.214 + 2*t^2.244 + t^2.384 + t^2.745 + 2*t^3.085 + t^3.255 + t^3.586 + t^3.786 + t^4.258 + t^4.287 + t^4.317 + t^4.428 + 2*t^4.457 + 3*t^4.487 + t^4.598 + 2*t^4.628 + t^4.768 + t^4.959 + 2*t^4.988 + t^5.129 + 2*t^5.299 + 4*t^5.329 + 2*t^5.469 + t^5.489 + t^5.499 + t^5.639 + t^5.8 + 3*t^5.83 - 2*t^6. + t^6.03 + 2*t^6.17 + t^6.331 + 2*t^6.34 + t^6.471 + t^6.501 + t^6.511 + 2*t^6.531 + 2*t^6.56 + 2*t^6.642 + 3*t^6.671 + 2*t^6.701 + 4*t^6.731 + t^6.812 + t^6.842 + 3*t^6.871 + t^6.982 + t^7.002 + t^7.012 + t^7.032 + t^7.062 + t^7.152 + t^7.172 + t^7.202 + 2*t^7.232 + 2*t^7.343 + 2*t^7.372 + t^7.402 + 2*t^7.513 + t^7.543 + 6*t^7.572 + 2*t^7.683 + t^7.703 + 3*t^7.713 + 2*t^7.733 + t^7.742 + t^7.844 + 2*t^7.853 + t^7.873 + t^7.883 + t^8.014 + t^8.024 + t^8.044 + 3*t^8.073 + t^8.103 - 2*t^8.214 + t^8.234 - 6*t^8.244 + t^8.273 - t^8.384 + 3*t^8.414 + t^8.515 + 2*t^8.545 + 2*t^8.554 + 4*t^8.574 + 2*t^8.584 + t^8.604 + t^8.634 + t^8.685 + t^8.715 + 2*t^8.725 - 2*t^8.745 + t^8.754 + 2*t^8.774 + 3*t^8.804 + 2*t^8.856 + 3*t^8.885 + t^8.895 + 3*t^8.915 + 2*t^8.945 + 5*t^8.974 - t^4.543/y - t^6.786/y - t^6.927/y + (3*t^7.457)/y + t^7.487/y + t^7.598/y + t^7.628/y + t^7.959/y + (2*t^7.988)/y + t^8.129/y + t^8.158/y + (3*t^8.299)/y + (4*t^8.329)/y + (3*t^8.469)/y + (2*t^8.499)/y + t^8.639/y + t^8.8/y + (4*t^8.83)/y + t^8.97/y - t^4.543*y - t^6.786*y - t^6.927*y + 3*t^7.457*y + t^7.487*y + t^7.598*y + t^7.628*y + t^7.959*y + 2*t^7.988*y + t^8.129*y + t^8.158*y + 3*t^8.299*y + 4*t^8.329*y + 3*t^8.469*y + 2*t^8.499*y + t^8.639*y + t^8.8*y + 4*t^8.83*y + t^8.97*y	(g1^7*t^2.214)/g2^5 + (2*g2^7*t^2.244)/g1^5 + t^2.384/(g1*g2^13) + g1^12*g2^12*t^2.745 + (2*t^3.085)/(g1^4*g2^4) + t^3.255/(g1^12*g2^12) + g1^13*g2*t^3.586 + (g2^5*t^3.786)/g1^7 + (g1^22*t^4.258)/g2^2 + g1^10*g2^10*t^4.287 + (g2^22*t^4.317)/g1^2 + (g1^14*t^4.428)/g2^10 + 2*g1^2*g2^2*t^4.457 + (3*g2^14*t^4.487)/g1^10 + (g1^6*t^4.598)/g2^18 + (2*t^4.628)/(g1^6*g2^6) + t^4.768/(g1^2*g2^26) + g1^19*g2^7*t^4.959 + 2*g1^7*g2^19*t^4.988 + (g1^11*t^5.129)/g2 + (2*g1^3*t^5.299)/g2^9 + (4*g2^3*t^5.329)/g1^9 + (2*t^5.469)/(g1^5*g2^17) + g1^24*g2^24*t^5.489 + t^5.499/(g1^17*g2^5) + t^5.639/(g1^13*g2^25) + (g1^20*t^5.8)/g2^4 + 3*g1^8*g2^8*t^5.83 - 2*t^6. + (g2^12*t^6.03)/g1^12 + (2*t^6.17)/(g1^8*g2^8) + g1^25*g2^13*t^6.331 + (2*t^6.34)/(g1^16*g2^16) + (g1^29*t^6.471)/g2^7 + g1^17*g2^5*t^6.501 + t^6.511/(g1^24*g2^24) + 2*g1^5*g2^17*t^6.531 + (2*g2^29*t^6.56)/g1^7 + (2*g1^21*t^6.642)/g2^15 + (3*g1^9*t^6.671)/g2^3 + (2*g2^9*t^6.701)/g1^3 + (4*g2^21*t^6.731)/g1^15 + (g1^13*t^6.812)/g2^23 + (g1*t^6.842)/g2^11 + (3*g2*t^6.871)/g1^11 + (g1^5*t^6.982)/g2^31 + g1^34*g2^10*t^7.002 + t^7.012/(g1^7*g2^19) + g1^22*g2^22*t^7.032 + g1^10*g2^34*t^7.062 + t^7.152/(g1^3*g2^39) + g1^26*g2^2*t^7.172 + g1^14*g2^14*t^7.202 + 2*g1^2*g2^26*t^7.232 + (2*g1^18*t^7.343)/g2^6 + 2*g1^6*g2^6*t^7.372 + (g2^18*t^7.402)/g1^6 + (2*g1^10*t^7.513)/g2^14 + t^7.543/(g1^2*g2^2) + (6*g2^10*t^7.572)/g1^14 + (2*g1^2*t^7.683)/g2^22 + g1^31*g2^19*t^7.703 + (3*t^7.713)/(g1^10*g2^10) + 2*g1^19*g2^31*t^7.733 + (g2^2*t^7.742)/g1^22 + (g1^35*t^7.844)/g2 + (2*t^7.853)/(g1^6*g2^30) + g1^23*g2^11*t^7.873 + t^7.883/(g1^18*g2^18) + (g1^27*t^8.014)/g2^9 + t^8.024/(g1^14*g2^38) + g1^15*g2^3*t^8.044 + 3*g1^3*g2^15*t^8.073 + (g2^27*t^8.103)/g1^9 - (2*g1^7*t^8.214)/g2^5 + g1^36*g2^36*t^8.234 - (6*g2^7*t^8.244)/g1^5 + (g2^19*t^8.273)/g1^17 - t^8.384/(g1*g2^13) + (3*t^8.414)/(g1^13*g2) + (g1^44*t^8.515)/g2^4 + 2*g1^32*g2^8*t^8.545 + (2*t^8.554)/(g1^9*g2^21) + 4*g1^20*g2^20*t^8.574 + (2*t^8.584)/(g1^21*g2^9) + g1^8*g2^32*t^8.604 + (g2^44*t^8.634)/g1^4 + (g1^36*t^8.685)/g2^12 + g1^24*t^8.715 + (2*t^8.725)/(g1^17*g2^29) - 2*g1^12*g2^12*t^8.745 + t^8.754/(g1^29*g2^17) + 2*g2^24*t^8.774 + (3*g2^36*t^8.804)/g1^12 + (2*g1^28*t^8.856)/g2^20 + (3*g1^16*t^8.885)/g2^8 + t^8.895/(g1^25*g2^37) + 3*g1^4*g2^4*t^8.915 + (2*g2^16*t^8.945)/g1^8 + (5*g2^28*t^8.974)/g1^20 - t^4.543/(g1^2*g2^2*y) - (g2^5*t^6.786)/(g1^7*y) - t^6.927/(g1^3*g2^15*y) + (3*g1^2*g2^2*t^7.457)/y + (g2^14*t^7.487)/(g1^10*y) + (g1^6*t^7.598)/(g2^18*y) + t^7.628/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.959)/y + (2*g1^7*g2^19*t^7.988)/y + (g1^11*t^8.129)/(g2*y) + (g2^11*t^8.158)/(g1*y) + (3*g1^3*t^8.299)/(g2^9*y) + (4*g2^3*t^8.329)/(g1^9*y) + (3*t^8.469)/(g1^5*g2^17*y) + (2*t^8.499)/(g1^17*g2^5*y) + t^8.639/(g1^13*g2^25*y) + (g1^20*t^8.8)/(g2^4*y) + (4*g1^8*g2^8*t^8.83)/y + (g1^12*t^8.97)/(g2^12*y) - (t^4.543*y)/(g1^2*g2^2) - (g2^5*t^6.786*y)/g1^7 - (t^6.927*y)/(g1^3*g2^15) + 3*g1^2*g2^2*t^7.457*y + (g2^14*t^7.487*y)/g1^10 + (g1^6*t^7.598*y)/g2^18 + (t^7.628*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.959*y + 2*g1^7*g2^19*t^7.988*y + (g1^11*t^8.129*y)/g2 + (g2^11*t^8.158*y)/g1 + (3*g1^3*t^8.299*y)/g2^9 + (4*g2^3*t^8.329*y)/g1^9 + (3*t^8.469*y)/(g1^5*g2^17) + (2*t^8.499*y)/(g1^17*g2^5) + (t^8.639*y)/(g1^13*g2^25) + (g1^20*t^8.8*y)/g2^4 + 4*g1^8*g2^8*t^8.83*y + (g1^12*t^8.97*y)/g2^12

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
2915	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.5776	0.7619	0.758	[M:[1.0501, 0.8497, 0.9499, 1.1503, 0.6753, 0.7495], q:[0.7625, 0.1874], qb:[0.6623, 0.4879], phi:[0.475]]	2*t^2.026 + t^2.249 + 2*t^2.549 + 2*t^2.85 + 2*t^3.451 + 3*t^4.052 + 3*t^4.275 + t^4.352 + t^4.497 + 3*t^4.575 + 2*t^4.798 + 5*t^4.876 + 4*t^5.098 + 5*t^5.399 + 3*t^5.477 + 3*t^5.699 - t^6. - t^4.425/y - t^4.425*y	detail
2916	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6254	0.8161	0.7663	[M:[0.9488, 1.1536, 1.0512, 0.8464, 0.7304, 0.8464], q:[0.7372, 0.314], qb:[0.43, 0.4164], phi:[0.5256]]	2*t^2.191 + t^2.232 + 2*t^2.539 + 2*t^3.154 + t^3.461 + t^3.502 + t^3.768 + t^4.075 + t^4.116 + t^4.157 + 3*t^4.382 + 2*t^4.423 + t^4.464 + 4*t^4.73 + 2*t^4.771 + 3*t^5.078 + 4*t^5.345 + 2*t^5.386 + t^5.652 + 5*t^5.693 + t^5.734 + t^5.959 - t^6. - t^4.577/y - t^4.577*y	detail
2917	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6465	0.8492	0.7613	[M:[0.979, 1.063, 1.021, 0.937, 0.7366, 0.7949, 0.7786], q:[0.7448, 0.2762], qb:[0.4767, 0.4603], phi:[0.5105]]	2*t^2.21 + t^2.259 + t^2.336 + t^2.385 + t^2.811 + 2*t^3.063 + t^3.189 + t^3.741 + t^4.294 + t^4.343 + t^4.392 + 3*t^4.419 + 2*t^4.469 + t^4.518 + 2*t^4.545 + 3*t^4.594 + t^4.643 + t^4.671 + t^4.72 + t^4.769 + 2*t^5.021 + t^5.07 + t^5.147 + t^5.196 + 4*t^5.273 + 2*t^5.322 + 3*t^5.399 + 2*t^5.448 + t^5.525 + t^5.574 + t^5.622 + t^5.874 + t^5.951 - 2*t^6. - t^4.531/y - t^4.531*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
541	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6135	0.7921	0.7745	[M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]]	2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y	detail